diff --git a/src/Magnum/GL/AbstractTexture.cpp b/src/Magnum/GL/AbstractTexture.cpp
index 14304a7a3..e2991cfdc 100644
--- a/src/Magnum/GL/AbstractTexture.cpp
+++ b/src/Magnum/GL/AbstractTexture.cpp
@@ -1718,7 +1718,7 @@ void AbstractTexture::invalidateSubImageImplementationARB(GLint level, const Vec
 
 #ifndef DOXYGEN_GENERATING_OUTPUT
 #ifndef MAGNUM_TARGET_GLES
-template<UnsignedInt dimensions> void AbstractTexture::image(GLint level, Image<dimensions>& image) {
+template<UnsignedInt dimensions> void AbstractTexture::image(const GLint level, Image<dimensions>& image, const ImageFlags<dimensions> flags) {
     const Math::Vector<dimensions, Int> size = DataHelper<dimensions>::imageSize(*this, level);
     const std::size_t dataSize = Magnum::Implementation::imageDataSizeFor(image, size);
 
@@ -1730,12 +1730,12 @@ template<UnsignedInt dimensions> void AbstractTexture::image(GLint level, Image<
     Buffer::unbindInternal(Buffer::TargetHint::PixelPack);
     Context::current().state().renderer.applyPixelStoragePack(image.storage());
     (this->*Context::current().state().texture.getImageImplementation)(level, pixelFormat(image.format()), pixelType(image.format(), image.formatExtra()), data.size(), data);
-    image = Image<dimensions>{image.storage(), image.format(), image.formatExtra(), image.pixelSize(), size, std::move(data)};
+    image = Image<dimensions>{image.storage(), image.format(), image.formatExtra(), image.pixelSize(), size, std::move(data), flags};
 }
 
-template void MAGNUM_GL_EXPORT AbstractTexture::image<1>(GLint, Image<1>&);
-template void MAGNUM_GL_EXPORT AbstractTexture::image<2>(GLint, Image<2>&);
-template void MAGNUM_GL_EXPORT AbstractTexture::image<3>(GLint, Image<3>&);
+template void MAGNUM_GL_EXPORT AbstractTexture::image<1>(GLint, Image<1>&, ImageFlags1D);
+template void MAGNUM_GL_EXPORT AbstractTexture::image<2>(GLint, Image<2>&, ImageFlags2D);
+template void MAGNUM_GL_EXPORT AbstractTexture::image<3>(GLint, Image<3>&, ImageFlags3D);
 
 template<UnsignedInt dimensions> void AbstractTexture::image(GLint level, const BasicMutableImageView<dimensions>& image) {
     #ifndef CORRADE_NO_ASSERT
@@ -1774,7 +1774,7 @@ template void MAGNUM_GL_EXPORT AbstractTexture::image<1>(GLint, BufferImage<1>&,
 template void MAGNUM_GL_EXPORT AbstractTexture::image<2>(GLint, BufferImage<2>&, BufferUsage);
 template void MAGNUM_GL_EXPORT AbstractTexture::image<3>(GLint, BufferImage<3>&, BufferUsage);
 
-template<UnsignedInt dimensions> void AbstractTexture::compressedImage(const GLint level, CompressedImage<dimensions>& image) {
+template<UnsignedInt dimensions> void AbstractTexture::compressedImage(const GLint level, CompressedImage<dimensions>& image, const ImageFlags<dimensions> flags) {
     const Math::Vector<dimensions, Int> size = DataHelper<dimensions>::imageSize(*this, level);
 
     /* If the user-provided pixel storage doesn't tell us all properties about
@@ -1798,12 +1798,12 @@ template<UnsignedInt dimensions> void AbstractTexture::compressedImage(const GLi
     Buffer::unbindInternal(Buffer::TargetHint::PixelPack);
     Context::current().state().renderer.applyPixelStoragePack(image.storage());
     (this->*Context::current().state().texture.getCompressedImageImplementation)(level, data.size(), data);
-    image = CompressedImage<dimensions>{image.storage(), CompressedPixelFormat(format), size, std::move(data)};
+    image = CompressedImage<dimensions>{image.storage(), CompressedPixelFormat(format), size, std::move(data), flags};
 }
 
-template void MAGNUM_GL_EXPORT AbstractTexture::compressedImage<1>(GLint, CompressedImage<1>&);
-template void MAGNUM_GL_EXPORT AbstractTexture::compressedImage<2>(GLint, CompressedImage<2>&);
-template void MAGNUM_GL_EXPORT AbstractTexture::compressedImage<3>(GLint, CompressedImage<3>&);
+template void MAGNUM_GL_EXPORT AbstractTexture::compressedImage<1>(GLint, CompressedImage<1>&, ImageFlags1D);
+template void MAGNUM_GL_EXPORT AbstractTexture::compressedImage<2>(GLint, CompressedImage<2>&, ImageFlags2D);
+template void MAGNUM_GL_EXPORT AbstractTexture::compressedImage<3>(GLint, CompressedImage<3>&, ImageFlags3D);
 
 template<UnsignedInt dimensions> void AbstractTexture::compressedImage(const GLint level, const BasicMutableCompressedImageView<dimensions>& image) {
     #ifndef CORRADE_NO_ASSERT
@@ -1874,7 +1874,7 @@ template void MAGNUM_GL_EXPORT AbstractTexture::compressedImage<1>(GLint, Compre
 template void MAGNUM_GL_EXPORT AbstractTexture::compressedImage<2>(GLint, CompressedBufferImage<2>&, BufferUsage);
 template void MAGNUM_GL_EXPORT AbstractTexture::compressedImage<3>(GLint, CompressedBufferImage<3>&, BufferUsage);
 
-template<UnsignedInt dimensions> void AbstractTexture::subImage(const GLint level, const RangeTypeFor<dimensions, Int>& range, Image<dimensions>& image) {
+template<UnsignedInt dimensions> void AbstractTexture::subImage(const GLint level, const RangeTypeFor<dimensions, Int>& range, Image<dimensions>& image, const ImageFlags<dimensions> flags) {
     /* Reallocate only if needed */
     const Math::Vector<dimensions, Int> size = range.size();
     const std::size_t dataSize = Magnum::Implementation::imageDataSizeFor(image, size);
@@ -1882,13 +1882,13 @@ template<UnsignedInt dimensions> void AbstractTexture::subImage(const GLint leve
     if(data.size() < dataSize)
         data = Containers::Array<char>{dataSize};
 
-    image = Image<dimensions>{image.storage(), image.format(), image.formatExtra(), image.pixelSize(), size, std::move(data)};
+    image = Image<dimensions>{image.storage(), image.format(), image.formatExtra(), image.pixelSize(), size, std::move(data), flags};
     subImage(level, range, BasicMutableImageView<dimensions>(image));
 }
 
-template void MAGNUM_GL_EXPORT AbstractTexture::subImage<1>(GLint, const Range1Di&, Image<1>&);
-template void MAGNUM_GL_EXPORT AbstractTexture::subImage<2>(GLint, const Range2Di&, Image<2>&);
-template void MAGNUM_GL_EXPORT AbstractTexture::subImage<3>(GLint, const Range3Di&, Image<3>&);
+template void MAGNUM_GL_EXPORT AbstractTexture::subImage<1>(GLint, const Range1Di&, Image<1>&, ImageFlags1D);
+template void MAGNUM_GL_EXPORT AbstractTexture::subImage<2>(GLint, const Range2Di&, Image<2>&, ImageFlags2D);
+template void MAGNUM_GL_EXPORT AbstractTexture::subImage<3>(GLint, const Range3Di&, Image<3>&, ImageFlags3D);
 
 template<UnsignedInt dimensions> void AbstractTexture::subImage(const GLint level, const RangeTypeFor<dimensions, Int>& range, const BasicMutableImageView<dimensions>& image) {
     CORRADE_ASSERT(image.data().data() != nullptr || !(Math::Vector<dimensions, Int>(range.size()).product()),
@@ -1946,7 +1946,7 @@ template std::size_t MAGNUM_GL_EXPORT AbstractTexture::compressedSubImageSize<1>
 template std::size_t MAGNUM_GL_EXPORT AbstractTexture::compressedSubImageSize<2>(TextureFormat format, const Math::Vector<2, Int>& size);
 template std::size_t MAGNUM_GL_EXPORT AbstractTexture::compressedSubImageSize<3>(TextureFormat format, const Math::Vector<3, Int>& size);
 
-template<UnsignedInt dimensions> void AbstractTexture::compressedSubImage(const GLint level, const RangeTypeFor<dimensions, Int>& range, CompressedImage<dimensions>& image) {
+template<UnsignedInt dimensions> void AbstractTexture::compressedSubImage(const GLint level, const RangeTypeFor<dimensions, Int>& range, CompressedImage<dimensions>& image, const ImageFlags<dimensions> flags) {
     createIfNotAlready();
 
     const Math::Vector<dimensions, Int> size = range.size();
@@ -1973,12 +1973,12 @@ template<UnsignedInt dimensions> void AbstractTexture::compressedSubImage(const
     Buffer::unbindInternal(Buffer::TargetHint::PixelPack);
     Context::current().state().renderer.applyPixelStoragePack(image.storage());
     glGetCompressedTextureSubImage(_id, level, paddedOffset.x(), paddedOffset.y(), paddedOffset.z(), paddedSize.x(), paddedSize.y(), paddedSize.z(), data.size(), data);
-    image = CompressedImage<dimensions>{CompressedPixelFormat(format), size, std::move(data)};
+    image = CompressedImage<dimensions>{CompressedPixelFormat(format), size, std::move(data), flags};
 }
 
-template void MAGNUM_GL_EXPORT AbstractTexture::compressedSubImage<1>(GLint, const Range1Di&, CompressedImage<1>&);
-template void MAGNUM_GL_EXPORT AbstractTexture::compressedSubImage<2>(GLint, const Range2Di&, CompressedImage<2>&);
-template void MAGNUM_GL_EXPORT AbstractTexture::compressedSubImage<3>(GLint, const Range3Di&, CompressedImage<3>&);
+template void MAGNUM_GL_EXPORT AbstractTexture::compressedSubImage<1>(GLint, const Range1Di&, CompressedImage<1>&, ImageFlags1D);
+template void MAGNUM_GL_EXPORT AbstractTexture::compressedSubImage<2>(GLint, const Range2Di&, CompressedImage<2>&, ImageFlags2D);
+template void MAGNUM_GL_EXPORT AbstractTexture::compressedSubImage<3>(GLint, const Range3Di&, CompressedImage<3>&, ImageFlags3D);
 
 template<UnsignedInt dimensions> void AbstractTexture::compressedSubImage(const GLint level, const RangeTypeFor<dimensions, Int>& range, const BasicMutableCompressedImageView<dimensions>& image) {
     CORRADE_ASSERT(image.data().data() != nullptr || !(Math::Vector<dimensions, Int>(range.size()).product()),
diff --git a/src/Magnum/GL/AbstractTexture.h b/src/Magnum/GL/AbstractTexture.h
index bcb34b965..8f1ae3063 100644
--- a/src/Magnum/GL/AbstractTexture.h
+++ b/src/Magnum/GL/AbstractTexture.h
@@ -33,6 +33,7 @@
 #include <Corrade/Containers/ArrayView.h>
 
 #include "Magnum/DimensionTraits.h"
+#include "Magnum/ImageFlags.h"
 #include "Magnum/Tags.h"
 #include "Magnum/GL/AbstractObject.h"
 #include "Magnum/GL/GL.h"
@@ -501,16 +502,16 @@ class MAGNUM_GL_EXPORT AbstractTexture: public AbstractObject {
 
         #ifndef MAGNUM_TARGET_GLES
         template<UnsignedInt dimensions> void image(GLint level, const BasicMutableImageView<dimensions>& image);
-        template<UnsignedInt dimensions> void image(GLint level, Image<dimensions>& image);
+        template<UnsignedInt dimensions> void image(GLint level, Image<dimensions>& image, ImageFlags<dimensions> flags);
         template<UnsignedInt dimensions> void image(GLint level, BufferImage<dimensions>& image, BufferUsage usage);
         template<UnsignedInt dimensions> void compressedImage(GLint level, const BasicMutableCompressedImageView<dimensions>& image);
-        template<UnsignedInt dimensions> void compressedImage(GLint level, CompressedImage<dimensions>& image);
+        template<UnsignedInt dimensions> void compressedImage(GLint level, CompressedImage<dimensions>& image, ImageFlags<dimensions> flags);
         template<UnsignedInt dimensions> void compressedImage(GLint level, CompressedBufferImage<dimensions>& image, BufferUsage usage);
         template<UnsignedInt dimensions> void subImage(GLint level, const RangeTypeFor<dimensions, Int>& range, const BasicMutableImageView<dimensions>& image);
-        template<UnsignedInt dimensions> void subImage(GLint level, const RangeTypeFor<dimensions, Int>& range, Image<dimensions>& image);
+        template<UnsignedInt dimensions> void subImage(GLint level, const RangeTypeFor<dimensions, Int>& range, Image<dimensions>& image, ImageFlags<dimensions> flags);
         template<UnsignedInt dimensions> void subImage(GLint level, const RangeTypeFor<dimensions, Int>& range, BufferImage<dimensions>& image, BufferUsage usage);
         template<UnsignedInt dimensions> void compressedSubImage(GLint level, const RangeTypeFor<dimensions, Int>& range, const BasicMutableCompressedImageView<dimensions>& image);
-        template<UnsignedInt dimensions> void compressedSubImage(GLint level, const RangeTypeFor<dimensions, Int>& range, CompressedImage<dimensions>& image);
+        template<UnsignedInt dimensions> void compressedSubImage(GLint level, const RangeTypeFor<dimensions, Int>& range, CompressedImage<dimensions>& image, ImageFlags<dimensions> flags);
         template<UnsignedInt dimensions> void compressedSubImage(GLint level, const RangeTypeFor<dimensions, Int>& range, CompressedBufferImage<dimensions>& image, BufferUsage usage);
         #endif
 
diff --git a/src/Magnum/GL/CubeMapTexture.cpp b/src/Magnum/GL/CubeMapTexture.cpp
index af1dbfefb..23375df5a 100644
--- a/src/Magnum/GL/CubeMapTexture.cpp
+++ b/src/Magnum/GL/CubeMapTexture.cpp
@@ -81,7 +81,7 @@ void CubeMapTexture::image(const Int level, Image3D& image) {
     Buffer::unbindInternal(Buffer::TargetHint::PixelPack);
     Context::current().state().renderer.applyPixelStoragePack(image.storage());
     (this->*Context::current().state().texture.getCubeImage3DImplementation)(level, size, pixelFormat(image.format()), pixelType(image.format(), image.formatExtra()), data.size(), data, image.storage());
-    image = Image3D{image.storage(), image.format(), image.formatExtra(), image.pixelSize(), size, std::move(data)};
+    image = Image3D{image.storage(), image.format(), image.formatExtra(), image.pixelSize(), size, std::move(data), ImageFlag3D::CubeMap};
 }
 
 Image3D CubeMapTexture::image(const Int level, Image3D&& image) {
@@ -152,7 +152,7 @@ void CubeMapTexture::compressedImage(const Int level, CompressedImage3D& image)
     Buffer::unbindInternal(Buffer::TargetHint::PixelPack);
     Context::current().state().renderer.applyPixelStoragePack(image.storage());
     (this->*Context::current().state().texture.getCompressedCubeImage3DImplementation)(level, size.xy(), dataOffsetSize.first, dataOffsetSize.second, data);
-    image = CompressedImage3D{image.storage(), CompressedPixelFormat(format), size, std::move(data)};
+    image = CompressedImage3D{image.storage(), CompressedPixelFormat(format), size, std::move(data), ImageFlag3D::CubeMap};
 }
 
 CompressedImage3D CubeMapTexture::compressedImage(const Int level, CompressedImage3D&& image) {
@@ -246,7 +246,7 @@ void CubeMapTexture::image(const CubeMapCoordinate coordinate, const Int level,
     Buffer::unbindInternal(Buffer::TargetHint::PixelPack);
     Context::current().state().renderer.applyPixelStoragePack(image.storage());
     (this->*Context::current().state().texture.getCubeImageImplementation)(coordinate, level, size, pixelFormat(image.format()), pixelType(image.format(), image.formatExtra()), data.size(), data);
-    image = Image2D{image.storage(), image.format(), image.formatExtra(), image.pixelSize(), size, std::move(data)};
+    image = Image2D{image.storage(), image.format(), image.formatExtra(), image.pixelSize(), size, std::move(data), ImageFlags2D{}};
 }
 
 Image2D CubeMapTexture::image(const CubeMapCoordinate coordinate, const Int level, Image2D&& image) {
@@ -311,7 +311,7 @@ void CubeMapTexture::compressedImage(const CubeMapCoordinate coordinate, const I
     Buffer::unbindInternal(Buffer::TargetHint::PixelPack);
     Context::current().state().renderer.applyPixelStoragePack(image.storage());
     (this->*Context::current().state().texture.getCompressedCubeImageImplementation)(coordinate, level, size, data.size(), data);
-    image = CompressedImage2D{image.storage(), CompressedPixelFormat(format), size, std::move(data)};
+    image = CompressedImage2D{image.storage(), CompressedPixelFormat(format), size, std::move(data), ImageFlags2D{}};
 }
 
 CompressedImage2D CubeMapTexture::compressedImage(const CubeMapCoordinate coordinate, const Int level, CompressedImage2D&& image) {
@@ -422,7 +422,10 @@ void CubeMapTexture::compressedSubImage(const Int level, const Range3Di& range,
     Buffer::unbindInternal(Buffer::TargetHint::PixelPack);
     Context::current().state().renderer.applyPixelStoragePack(image.storage());
     glGetCompressedTextureSubImage(_id, level, range.min().x(), range.min().y(), range.min().z(), range.size().x(), range.size().y(), range.size().z(), data.size(), data);
-    image = CompressedImage3D{CompressedPixelFormat(format), range.size(), std::move(data)};
+    /* Would be CubeMap if the whole image was queried, but then we'd have to
+       query the size and compare, which is extra work. So it's Array
+       instead. */
+    image = CompressedImage3D{CompressedPixelFormat(format), range.size(), std::move(data), ImageFlag3D::Array};
 }
 
 CompressedImage3D CubeMapTexture::compressedSubImage(const Int level, const Range3Di& range, CompressedImage3D&& image) {
diff --git a/src/Magnum/GL/CubeMapTexture.h b/src/Magnum/GL/CubeMapTexture.h
index a9ef45b4b..2b1efe454 100644
--- a/src/Magnum/GL/CubeMapTexture.h
+++ b/src/Magnum/GL/CubeMapTexture.h
@@ -556,9 +556,10 @@ class MAGNUM_GL_EXPORT CubeMapTexture: public AbstractTexture {
          *
          * Image parameters like format and type of pixel data are taken from
          * given image, image size is taken from the texture using
-         * @ref imageSize(). The storage is not reallocated if it is large
-         * enough to contain the new data --- however if you want to read into
-         * existing memory or *ensure* a reallocation does not happen, use
+         * @ref imageSize(). Flags of @p image get reset to
+         * @ref ImageFlag3D::CubeMap. The storage is not reallocated if it is
+         * large enough to contain the new data --- however if you want to read
+         * into existing memory or *ensure* a reallocation does not happen, use
          * @ref image(Int, const MutableImageView3D&) instead.
          *
          * If @gl_extension{ARB,direct_state_access} (part of OpenGL 4.5) is
@@ -595,6 +596,8 @@ class MAGNUM_GL_EXPORT CubeMapTexture: public AbstractTexture {
          * Compared to @ref image(Int, Image3D&) the function reads the pixels
          * into the memory provided by @p image, expecting it's not
          * @cpp nullptr @ce and its size is the same as size of given @p level.
+         * Any set of @ref ImageFlags is allowed in @p image --- e.g., it's
+         * possible to read a cube map texture to an image marked as 2D array.
          */
         void image(Int level, const MutableImageView3D& image);
 
@@ -623,10 +626,11 @@ class MAGNUM_GL_EXPORT CubeMapTexture: public AbstractTexture {
          * @brief Read given mip level of a compressed texture to an image
          *
          * Compression format and data size are taken from the texture, image
-         * size is taken using @ref imageSize(). The storage is not reallocated
-         * if it is large enough to contain the new data --- however if you
-         * want to read into existing memory or *ensure* a reallocation does
-         * not happen, use @ref compressedImage(Int, const MutableCompressedImageView3D&)
+         * size is taken using @ref imageSize(). Flags of @p image get reset to
+         * @ref ImageFlag3D::CubeMap. The storage is not reallocated if it is
+         * large enough to contain the new data --- however if you want to read
+         * into existing memory or *ensure* a reallocation does not happen, use
+         * @ref compressedImage(Int, const MutableCompressedImageView3D&)
          * instead.
          * @see @fn_gl2{GetTextureLevelParameter,GetTexLevelParameter} with
          *      @def_gl{TEXTURE_COMPRESSED_IMAGE_SIZE},
@@ -657,6 +661,8 @@ class MAGNUM_GL_EXPORT CubeMapTexture: public AbstractTexture {
          * function reads the pixels into the memory provided by @p image,
          * expecting it's not @cpp nullptr @ce, its format is the same as
          * texture format and its size is the same as size of given @p level.
+         * Any set of @ref ImageFlags is allowed in @p image --- e.g., it's
+         * possible to read a cube map texture to an image marked as 2D array.
          */
         void compressedImage(Int level, const MutableCompressedImageView3D& image);
 
@@ -688,10 +694,12 @@ class MAGNUM_GL_EXPORT CubeMapTexture: public AbstractTexture {
          *
          * Image parameters like format and type of pixel data are taken from
          * given image, image size is taken from the texture using
-         * @ref imageSize(). The storage is not reallocated if it is large
-         * enough to contain the new data --- however if you want to read into
-         * existing memory or *ensure* a reallocation does not happen, use
-         * @ref image(CubeMapCoordinate, Int, const MutableImageView2D&)
+         * @ref imageSize(). Flags of @p image get cleared --- use
+         * @ref image(Int, Image3D&) instead if you want to get an image
+         * annotated with @ref ImageFlag3D::CubeMap. The storage is not
+         * reallocated if it is large enough to contain the new data ---
+         * however if you want to read into existing memory or *ensure* a
+         * reallocation does not happen, use @ref image(CubeMapCoordinate, Int, const MutableImageView2D&)
          * instead.
          *
          * If @gl_extension{ARB,get_texture_sub_image} (part of OpenGL 4.5) is
@@ -727,7 +735,9 @@ class MAGNUM_GL_EXPORT CubeMapTexture: public AbstractTexture {
          * Compared to @ref image(CubeMapCoordinate, Int, Image2D&) the
          * function reads the pixels into the memory provided by @p image,
          * expecting it's not @cpp nullptr @ce and its size is the same as size
-         * of given @p level.
+         * of given @p level. Any set of @ref ImageFlags is allowed in @p image
+         * --- e.g., it's possible to read a cube map texture face to an image
+         * marked as 1D array.
          */
         void image(CubeMapCoordinate coordinate, Int level, const MutableImageView2D& image);
 
@@ -755,10 +765,13 @@ class MAGNUM_GL_EXPORT CubeMapTexture: public AbstractTexture {
          * @brief Read given compressed texture mip level and coordinate to an image
          *
          * Compression format and data size are taken from the texture, image
-         * size is taken using @ref imageSize(). The storage is not reallocated
-         * if it is large enough to contain the new data --- however if you
-         * want to read into existing memory or *ensure* a reallocation does
-         * not happen, use @ref compressedImage(CubeMapCoordinate, Int, const MutableCompressedImageView2D&)
+         * size is taken using @ref imageSize(). Flags of @p image get cleared
+         * --- use @ref compressedImage(Int, CompressedImage3D&) instead if you
+         * want to get an image annotated with @ref ImageFlag3D::CubeMap. The
+         * storage is not reallocated if it is large enough to contain the new
+         * data --- however if you want to read into existing memory or
+         * *ensure* a reallocation does not happen, use
+         * @ref compressedImage(CubeMapCoordinate, Int, const MutableCompressedImageView2D&)
          * instead.
          *
          * If @gl_extension{ARB,get_texture_sub_image} (part of OpenGL 4.5) is
@@ -798,6 +811,9 @@ class MAGNUM_GL_EXPORT CubeMapTexture: public AbstractTexture {
          * the function reads the pixels into the memory provided by @p image,
          * expecting it's not @cpp nullptr @ce, its format is the same as
          * texture format and its size is the same as size of given @p level.
+         * Any set of @ref ImageFlags is allowed in @p image --- e.g., it's
+         * possible to read a cube map texture face to an image marked as 1D
+         * array.
          */
         void compressedImage(CubeMapCoordinate coordinate, Int level, const MutableCompressedImageView2D& image);
 
@@ -827,15 +843,22 @@ class MAGNUM_GL_EXPORT CubeMapTexture: public AbstractTexture {
         /**
          * @brief Read a range of given texture mip level to an image
          *
-         * See @ref Texture::subImage(Int, const RangeTypeFor<dimensions, Int>&, Image&)
-         * for more information.
+         * Behavior mostly equivalent to
+         * @ref Texture::subImage(Int, const RangeTypeFor<dimensions, Int>&, Image&), see its
+         * documentation for more information. In this case however,
+         * @ref ImageFlags of @p image get set to @ref ImageFlag3D::Array (as
+         * opposed to @ref ImageFlag3D::CubeMap when using
+         * @ref image(Int, Image3D&)).
          * @requires_gl45 Extension @gl_extension{ARB,get_texture_sub_image}
          * @requires_gl Texture image queries are not available in OpenGL ES or
          *      WebGL. See @ref Framebuffer::read() or @ref DebugTools::textureSubImage()
          *      for possible workarounds.
          */
         void subImage(Int level, const Range3Di& range, Image3D& image) {
-            AbstractTexture::subImage<3>(level, range, image);
+            /* Would be CubeMap if the whole image was queried, but then we'd
+               have to query the size and compare, which is extra work. So it's
+               Array instead. */
+            AbstractTexture::subImage<3>(level, range, image, ImageFlag3D::Array);
         }
 
         /** @overload
@@ -853,7 +876,9 @@ class MAGNUM_GL_EXPORT CubeMapTexture: public AbstractTexture {
          * Compared to @ref subImage(Int, const Range3Di&, Image3D&) the
          * function reads the pixels into the memory provided by @p image,
          * expecting it's not @cpp nullptr @ce and its size is the same as
-         * @p range size.
+         * @p range size. Any set of @ref ImageFlags is allowed in @p image ---
+         * e.g., it's possible to read a cube map texture to an image marked as
+         * 2D array.
          */
         void subImage(Int level, const Range3Di& range, const MutableImageView3D& image) {
             AbstractTexture::subImage<3>(level, range, image);
@@ -884,8 +909,12 @@ class MAGNUM_GL_EXPORT CubeMapTexture: public AbstractTexture {
         /**
          * @brief Read a range of given compressed texture mip level to an image
          *
-         * See @ref Texture::compressedSubImage(Int, const RangeTypeFor<dimensions, Int>&, CompressedImage&)
-         * for more information.
+         * Behavior mostly equivalent to
+         * @ref Texture::compressedSubImage(Int, const RangeTypeFor<dimensions, Int>&, CompressedImage&), see its
+         * documentation for more information. In this case however,
+         * @ref ImageFlags of @p image get set to @ref ImageFlag3D::Array (as
+         * opposed to @ref ImageFlag3D::CubeMap when using
+         * @ref compressedImage(Int, CompressedImage3D&)).
          * @requires_gl45 Extension @gl_extension{ARB,get_texture_sub_image}
          * @requires_gl42 Extension @gl_extension{ARB,compressed_texture_pixel_storage}
          *      for non-default @ref CompressedPixelStorage
@@ -914,7 +943,9 @@ class MAGNUM_GL_EXPORT CubeMapTexture: public AbstractTexture {
          * Compared to @ref compressedSubImage(Int, const Range3Di&, CompressedImage3D&)
          * the function reads the pixels into the memory provided by @p image,
          * expecting it's not @cpp nullptr @ce, its format is the same as
-         * texture format and its size is the same as @p range size.
+         * texture format and its size is the same as @p range size. Any set of
+         * @ref ImageFlags is allowed in @p image --- e.g., it's possible to
+         * read a cube map texture to an image marked as 2D array.
          */
         void compressedSubImage(Int level, const Range3Di& range, const MutableCompressedImageView3D& image);
 
@@ -949,7 +980,10 @@ class MAGNUM_GL_EXPORT CubeMapTexture: public AbstractTexture {
          * @brief @copybrief Texture::setImage()
          * @return Reference to self (for method chaining)
          *
-         * See @ref Texture::setImage() for more information.
+         * Behavior equivalent to @ref Texture::setImage(), see its
+         * documentation for more information. Any set of @ref ImageFlags is
+         * allowed in @p image --- e.g., it's possible to upload an image
+         * marked as 1D array to a cube map face.
          * @see @ref maxSize()
          * @requires_gles30 Extension @gl_extension{EXT,unpack_subimage}/
          *      @gl_extension{NV,pack_subimage} in OpenGL ES 2.0 if
@@ -995,7 +1029,10 @@ class MAGNUM_GL_EXPORT CubeMapTexture: public AbstractTexture {
          * @brief @copybrief Texture::setCompressedImage()
          * @return Reference to self (for method chaining)
          *
-         * See @ref Texture::setCompressedImage() for more information.
+         * Behavior equivalent to @ref Texture::setCompressedImage(), see its
+         * documentation for more information. Any set of @ref ImageFlags is
+         * allowed in @p image --- e.g., it's possible to upload an image
+         * marked as 1D array to a cube map face.
          * @see @ref maxSize()
          * @requires_gl42 Extension @gl_extension{ARB,compressed_texture_pixel_storage}
          *      for non-default @ref CompressedPixelStorage
@@ -1055,6 +1092,10 @@ class MAGNUM_GL_EXPORT CubeMapTexture: public AbstractTexture {
          * If @gl_extension{ARB,direct_state_access} (part of OpenGL 4.5) is
          * not available, the texture is bound before the operation (if not
          * already) and the image is uploaded slice by slice.
+         *
+         * Any set of @ref ImageFlags is allowed in @p image --- e.g., it's
+         * possible to upload an image not marked as an array to an array
+         * texture.
          * @see @ref setStorage(), @fn_gl2{TextureSubImage3D,TexSubImage3D},
          *      eventually @fn_gl{ActiveTexture}, @fn_gl{BindTexture} and
          *      @fn_gl_keyword{TexSubImage2D}
@@ -1095,6 +1136,9 @@ class MAGNUM_GL_EXPORT CubeMapTexture: public AbstractTexture {
          *      or compressed @ref Trade::ImageData3D
          * @return Reference to self (for method chaining)
          *
+         * Any set of @ref ImageFlags is allowed in @p image --- e.g., it's
+         * possible to upload an image not marked as an array to an array
+         * texture.
          * @see @ref setStorage(), @fn_gl2{CompressedTextureSubImage3D,CompressedTexSubImage3D}
          * @requires_gl45 Extension @gl_extension{ARB,direct_state_access}
          * @requires_gl42 Extension @gl_extension{ARB,compressed_texture_pixel_storage}
@@ -1129,7 +1173,10 @@ class MAGNUM_GL_EXPORT CubeMapTexture: public AbstractTexture {
          * @brief @copybrief Texture::setSubImage()
          * @return Reference to self (for method chaining)
          *
-         * See @ref Texture::setSubImage() for more information.
+         * Behavior equivalent to @ref Texture::setSubImage(), see its
+         * documentation for more information. Any set of @ref ImageFlags is
+         * allowed in @p image --- e.g., it's possible to upload an image
+         * marked as 1D array to a cube map face.
          * @requires_gles30 Extension @gl_extension{EXT,unpack_subimage}/
          *      @gl_extension{NV,pack_subimage} in OpenGL ES 2.0 if
          *      @ref PixelStorage::rowLength() is set to a non-zero value.
@@ -1162,7 +1209,10 @@ class MAGNUM_GL_EXPORT CubeMapTexture: public AbstractTexture {
          * @brief @copybrief Texture::setCompressedSubImage()
          * @return Reference to self (for method chaining)
          *
-         * See @ref Texture::setCompressedSubImage() for more information.
+         * Behavior equivalent to @ref Texture::setCompressedSubImage(), see
+         * its documentation for more information. Any set of @ref ImageFlags
+         * is allowed in @p image --- e.g., it's possible to upload an image
+         * marked as 1D array to a cube map face.
          * @requires_gl42 Extension @gl_extension{ARB,compressed_texture_pixel_storage}
          *      for non-default @ref CompressedPixelStorage
          * @requires_gl Non-default @ref CompressedPixelStorage is not
diff --git a/src/Magnum/GL/CubeMapTextureArray.h b/src/Magnum/GL/CubeMapTextureArray.h
index a5d60176f..684496411 100644
--- a/src/Magnum/GL/CubeMapTextureArray.h
+++ b/src/Magnum/GL/CubeMapTextureArray.h
@@ -481,13 +481,16 @@ class MAGNUM_GL_EXPORT CubeMapTextureArray: public AbstractTexture {
         /**
          * @brief Read given texture mip level to an image
          *
-         * See @ref Texture::image(Int, Image&) for more information.
+         * Behavior mostly equivalent to @ref Texture::image(Int, Image&), see
+         * its documentation for more information. In this case however,
+         * @ref ImageFlags of @p image get set to @ref ImageFlag3D::Array and
+         * @ref ImageFlag3D::CubeMap.
          * @requires_gl Texture image queries are not available in OpenGL ES.
          *      See @ref Framebuffer::read() or @ref DebugTools::textureSubImage()
          *      for possible workarounds.
          */
         void image(Int level, Image3D& image) {
-            AbstractTexture::image<3>(level, image);
+            AbstractTexture::image<3>(level, image, ImageFlag3D::Array|ImageFlag3D::CubeMap);
         }
 
         /** @overload
@@ -505,6 +508,9 @@ class MAGNUM_GL_EXPORT CubeMapTextureArray: public AbstractTexture {
          * Compared to @ref image(Int, Image3D&) the function reads the pixels
          * into the memory provided by @p image, expecting it's not
          * @cpp nullptr @ce and its size is the same as size of given @p level.
+         * Any set of @ref ImageFlags is allowed in @p image --- e.g., it's
+         * possible to read a cube map array texture to an image not marked as
+         * a cube map.
          */
         void image(Int level, const MutableImageView3D& image) {
             AbstractTexture::image<3>(level, image);
@@ -534,8 +540,11 @@ class MAGNUM_GL_EXPORT CubeMapTextureArray: public AbstractTexture {
         /**
          * @brief Read given compressed texture mip level to an image
          *
-         * See @ref Texture::compressedImage(Int, CompressedImage&) for more
-         *      information.
+         * Behavior mostly equivalent to
+         * @ref Texture::compressedImage(Int, CompressedImage&), see its
+         * documentation for more information. In this case however,
+         * @ref ImageFlags of @p image get set to @ref ImageFlag3D::Array and
+         * @ref ImageFlag3D::CubeMap.
          * @requires_gl42 Extension @gl_extension{ARB,compressed_texture_pixel_storage}
          *      for non-default @ref CompressedPixelStorage
          * @requires_gl Texture image queries are not available in OpenGL ES.
@@ -543,7 +552,7 @@ class MAGNUM_GL_EXPORT CubeMapTextureArray: public AbstractTexture {
          *      for possible workarounds.
          */
         void compressedImage(Int level, CompressedImage3D& image) {
-            AbstractTexture::compressedImage<3>(level, image);
+            AbstractTexture::compressedImage<3>(level, image, ImageFlag3D::Array|ImageFlag3D::CubeMap);
         }
 
         /** @overload
@@ -562,6 +571,9 @@ class MAGNUM_GL_EXPORT CubeMapTextureArray: public AbstractTexture {
          * function reads the pixels into the memory provided by @p image,
          * expecting it's not @cpp nullptr @ce, its format is the same as
          * texture format and its size is the same as size of given @p level.
+         * Any set of @ref ImageFlags is allowed in @p image --- e.g., it's
+         * possible to read a cube map array texture to an image not marked as
+         * a cube map.
          */
         void compressedImage(Int level, const MutableCompressedImageView3D& image) {
             AbstractTexture::compressedImage<3>(level, image);
@@ -593,15 +605,22 @@ class MAGNUM_GL_EXPORT CubeMapTextureArray: public AbstractTexture {
         /**
          * @brief Read a range of given texture mip level to an image
          *
-         * See @ref Texture::subImage(Int, const RangeTypeFor<dimensions, Int>&, Image&)
-         * for more information.
+         * Behavior mostly equivalent to
+         * @ref Texture::subImage(Int, const RangeTypeFor<dimensions, Int>&, Image&), see its
+         * documentation for more information. In this case however,
+         * @ref ImageFlags of @p image get set to @ref ImageFlag3D::Array (but
+         * not @ref ImageFlag3D::CubeMap, which is only set when using
+         * @ref image(Int, Image3D&)).
          * @requires_gl45 Extension @gl_extension{ARB,get_texture_sub_image}
          * @requires_gl Texture image queries are not available in OpenGL ES.
          *      See @ref Framebuffer::read() or @ref DebugTools::textureSubImage()
          *      for possible workarounds.
          */
         void subImage(Int level, const Range3Di& range, Image3D& image) {
-            AbstractTexture::subImage<3>(level, range, image);
+            /* Would be also CubeMap if the whole image was queried, but then
+               we'd have to query the size and compare, which is extra work. So
+               it's Array always. */
+            AbstractTexture::subImage<3>(level, range, image, ImageFlag3D::Array);
         }
 
         /** @overload
@@ -619,7 +638,9 @@ class MAGNUM_GL_EXPORT CubeMapTextureArray: public AbstractTexture {
          * Compared to @ref subImage(Int, const Range3Di&, Image3D&) the
          * function reads the pixels into the memory provided by @p image,
          * expecting it's not @cpp nullptr @ce and its size is the same as
-         * @p range size.
+         * @p range size. Any set of @ref ImageFlags is allowed in @p image ---
+         * e.g., it's possible to read a cube map array texture to an image not
+         * marked as a cube map.
          */
         void subImage(Int level, const Range3Di& range, const MutableImageView3D& image) {
             AbstractTexture::subImage<3>(level, range, image);
@@ -650,8 +671,12 @@ class MAGNUM_GL_EXPORT CubeMapTextureArray: public AbstractTexture {
         /**
          * @brief Read a range of given compressed texture mip level to an image
          *
-         * See @ref Texture::compressedSubImage(Int, const RangeTypeFor<dimensions, Int>&, CompressedImage&)
-         * for more information.
+         * Behavior mostly equivalent to
+         * @ref Texture::compressedSubImage(Int, const RangeTypeFor<dimensions, Int>&, CompressedImage&), see its
+         * documentation for more information. In this case however,
+         * @ref ImageFlags of @p image get set to @ref ImageFlag3D::Array (but
+         * not @ref ImageFlag3D::CubeMap, which is only set when using
+         * @ref compressedImage(Int, CompressedImage3D&)).
          * @requires_gl45 Extension @gl_extension{ARB,get_texture_sub_image}
          * @requires_gl42 Extension @gl_extension{ARB,compressed_texture_pixel_storage}
          *      for non-default @ref CompressedPixelStorage
@@ -664,7 +689,10 @@ class MAGNUM_GL_EXPORT CubeMapTextureArray: public AbstractTexture {
          *      for possible workarounds.
          */
         void compressedSubImage(Int level, const Range3Di& range, CompressedImage3D& image) {
-            AbstractTexture::compressedSubImage<3>(level, range, image);
+            /* Would be also CubeMap if the whole image was queried, but then
+               we'd have to query the size and compare, which is extra work. So
+               it's Array always. */
+            AbstractTexture::compressedSubImage<3>(level, range, image, ImageFlag3D::Array);
         }
 
         /** @overload
@@ -682,7 +710,9 @@ class MAGNUM_GL_EXPORT CubeMapTextureArray: public AbstractTexture {
          * Compared to @ref compressedSubImage(Int, const Range3Di&, CompressedImage3D&)
          * the function reads the pixels into the memory provided by @p image,
          * expecting it's not @cpp nullptr @ce, its format is the same as
-         * texture format and its size is the same as @p range size.
+         * texture format and its size is the same as @p range size. Any set of
+         * @ref ImageFlags is allowed in @p image --- e.g., it's possible to
+         * read a cube map array texture to an image not marked as a cube map.
          */
         void compressedSubImage(Int level, const Range3Di& range, const MutableCompressedImageView3D& image) {
             AbstractTexture::compressedSubImage<3>(level, range, image);
@@ -724,7 +754,9 @@ class MAGNUM_GL_EXPORT CubeMapTextureArray: public AbstractTexture {
          * Sets texture image data from three-dimensional image for all cube
          * faces for all layers. Each group of 6 2D images is one cube map
          * layer, thus Z coordinate of @p image size must be multiple of 6. The
-         * images are in order of (+X, -X, +Y, -Y, +Z, -Z).
+         * images are in order of (+X, -X, +Y, -Y, +Z, -Z). Any set of
+         * @ref ImageFlags is allowed in @p image --- e.g., it's possible to
+         * upload an image marked as 2D array to a cube map array.
          *
          * See @ref Texture::setImage() for more information.
          * @see @ref maxSize()
@@ -760,7 +792,9 @@ class MAGNUM_GL_EXPORT CubeMapTextureArray: public AbstractTexture {
          * Sets texture image data from three-dimensional image for all cube
          * faces for all layers. Each group of 6 2D images is one cube map
          * layer, thus Z coordinate of @p image size must be multiple of 6. The
-         * images are in order of (+X, -X, +Y, -Y, +Z, -Z).
+         * images are in order of (+X, -X, +Y, -Y, +Z, -Z). Any set of
+         * @ref ImageFlags is allowed in @p image --- e.g., it's possible to
+         * upload an image marked as 2D array to a cube map array.
          *
          * See @ref Texture::setCompressedImage() for more information.
          * @see @ref maxSize()
@@ -799,7 +833,9 @@ class MAGNUM_GL_EXPORT CubeMapTextureArray: public AbstractTexture {
          *
          * Z coordinate is equivalent to layer * 6 + number of texture face,
          * i.e. +X is @cpp 0 @ce and so on, in order of (+X, -X, +Y, -Y, +Z,
-         * -Z).
+         * -Z). Any set of @ref ImageFlags is allowed in @p image --- e.g.,
+         * it's possible to upload an image marked as 2D array to a cube map
+         * array.
          *
          * See @ref Texture::setSubImage() for more information.
          */
@@ -825,7 +861,9 @@ class MAGNUM_GL_EXPORT CubeMapTextureArray: public AbstractTexture {
          *
          * Z coordinate is equivalent to layer * 6 + number of texture face,
          * i.e. +X is @cpp 0 @ce and so on, in order of (+X, -X, +Y, -Y, +Z,
-         * -Z).
+         * -Z). Any set of @ref ImageFlags is allowed in @p image --- e.g.,
+         * it's possible to upload an image marked as 2D array to a cube map
+         * array.
          *
          * See @ref Texture::setCompressedSubImage() for more information.
          * @requires_gl42 Extension @gl_extension{ARB,compressed_texture_pixel_storage}
@@ -883,7 +921,9 @@ class MAGNUM_GL_EXPORT CubeMapTextureArray: public AbstractTexture {
          *
          * Z coordinate is equivalent to layer * 6 + number of texture face,
          * i.e. +X is @cpp 0 @ce and so on, in order of (+X, -X, +Y, -Y, +Z,
-         * -Z).
+         * -Z). Any set of @ref ImageFlags is allowed in @p image --- e.g.,
+         * it's possible to upload an image marked as 2D array to a cube map
+         * array.
          *
          * See @ref Texture::invalidateSubImage() for more information.
          */
diff --git a/src/Magnum/GL/RectangleTexture.h b/src/Magnum/GL/RectangleTexture.h
index 1bc628dc7..1ff0e396a 100644
--- a/src/Magnum/GL/RectangleTexture.h
+++ b/src/Magnum/GL/RectangleTexture.h
@@ -368,10 +368,11 @@ class MAGNUM_GL_EXPORT RectangleTexture: public AbstractTexture {
         /**
          * @brief Read texture to an image
          *
-         * See @ref Texture::image(Int, Image&) for more information.
+         * Behavior equivalent to @ref Texture::image(Int, Image&), see its
+         * documentation for more information.
          */
         void image(Image2D& image) {
-            AbstractTexture::image<2>(0, image);
+            AbstractTexture::image<2>(0, image, ImageFlags2D{});
         }
 
         /** @overload
@@ -388,7 +389,9 @@ class MAGNUM_GL_EXPORT RectangleTexture: public AbstractTexture {
          *
          * Compared to @ref image(Image2D&) the function reads the pixels into
          * the memory provided by @p image, expecting it's not @cpp nullptr @ce
-         * and its size is the same as texture size.
+         * and its size is the same as texture size. Any set of @ref ImageFlags
+         * is allowed in @p image --- e.g., it's possible to read a rectangle
+         * texture to an image marked as 1D array.
          */
         void image(const MutableImageView2D& image) {
             AbstractTexture::image<2>(0, image);
@@ -415,13 +418,13 @@ class MAGNUM_GL_EXPORT RectangleTexture: public AbstractTexture {
         /**
          * @brief Read compressed texture to an image
          *
-         * See @ref Texture::compressedImage(Int, CompressedImage&) for more
-         * information.
+         * Behavior equivalent to @ref Texture::compressedImage(Int, CompressedImage&),
+         * see its documentation for more information.
          * @requires_gl42 Extension @gl_extension{ARB,compressed_texture_pixel_storage}
          *      for non-default @ref CompressedPixelStorage
          */
         void compressedImage(CompressedImage2D& image) {
-            AbstractTexture::compressedImage<2>(0, image);
+            AbstractTexture::compressedImage<2>(0, image, ImageFlags2D{});
         }
 
         /** @overload
@@ -439,7 +442,9 @@ class MAGNUM_GL_EXPORT RectangleTexture: public AbstractTexture {
          * Compared to @ref compressedImage(CompressedImage2D&) the function
          * reads the pixels into the memory provided by @p image, expecting
          * it's not @cpp nullptr @ce, its format is the same as texture format
-         * and its size is the same as texture size.
+         * and its size is the same as texture size. Any set of @ref ImageFlags
+         * is allowed in @p image --- e.g., it's possible to read a rectangle
+         * texture to an image marked as 1D array.
          */
         void compressedImage(const MutableCompressedImageView2D& image) {
             AbstractTexture::compressedImage<2>(0, image);
@@ -468,12 +473,12 @@ class MAGNUM_GL_EXPORT RectangleTexture: public AbstractTexture {
         /**
          * @brief Read a texture range to an image
          *
-         * See @ref Texture::subImage(Int, const RangeTypeFor<dimensions, Int>&, Image&)
-         * for more information.
+         * Behavior equivalent to @ref Texture::subImage(Int, const RangeTypeFor<dimensions, Int>&, Image&),
+         * see its documentation for more information.
          * @requires_gl45 Extension @gl_extension{ARB,get_texture_sub_image}
          */
         void subImage(const Range2Di& range, Image2D& image) {
-            AbstractTexture::subImage<2>(0, range, image);
+            AbstractTexture::subImage<2>(0, range, image, ImageFlags2D{});
         }
 
         /** @overload
@@ -491,6 +496,8 @@ class MAGNUM_GL_EXPORT RectangleTexture: public AbstractTexture {
          * Compared to @ref subImage(const Range2Di&, Image2D&) the function
          * reads the pixels into the memory provided by @p image, expecting
          * it's not @cpp nullptr @ce and its size is the same as @p range size.
+         * Any set of @ref ImageFlags is allowed in @p image --- e.g., it's
+         * possible to read a rectangle texture to an image marked as 1D array.
          */
         void subImage(const Range2Di& range, const MutableImageView2D& image) {
             AbstractTexture::subImage<2>(0, range, image);
@@ -518,8 +525,8 @@ class MAGNUM_GL_EXPORT RectangleTexture: public AbstractTexture {
         /**
          * @brief Read a compressed texture range to an image
          *
-         * See @ref Texture::compressedSubImage(Int, const RangeTypeFor<dimensions, Int>&, CompressedImage&)
-         * for more information.
+         * Behavior equivalent to @ref Texture::compressedSubImage(Int, const RangeTypeFor<dimensions, Int>&, CompressedImage&),
+         * see its documentation for more information.
          * @requires_gl45 Extension @gl_extension{ARB,get_texture_sub_image}
          * @requires_gl42 Extension @gl_extension{ARB,compressed_texture_pixel_storage}
          *      for non-default @ref CompressedPixelStorage
@@ -529,7 +536,7 @@ class MAGNUM_GL_EXPORT RectangleTexture: public AbstractTexture {
          *      set to non-zero values
          */
         void compressedSubImage(const Range2Di& range, CompressedImage2D& image) {
-            AbstractTexture::compressedSubImage<2>(0, range, image);
+            AbstractTexture::compressedSubImage<2>(0, range, image, ImageFlags2D{});
         }
 
         /** @overload
@@ -547,7 +554,9 @@ class MAGNUM_GL_EXPORT RectangleTexture: public AbstractTexture {
          * Compared to @ref compressedSubImage(const Range2Di&, CompressedImage2D&)
          * the function reads the pixels into the memory provided by @p image,
          * expecting it's not @cpp nullptr @ce, its format is the same as
-         * texture format and its size is the same as @p range size.
+         * texture format and its size is the same as @p range size. Any set of
+         * @ref ImageFlags is allowed in @p image --- e.g., it's possible to
+         * read a rectangle texture to an image marked as 1D array.
          */
         void compressedSubImage(const Range2Di& range, const MutableCompressedImageView2D& image) {
             AbstractTexture::compressedSubImage<2>(0, range, image);
@@ -582,7 +591,10 @@ class MAGNUM_GL_EXPORT RectangleTexture: public AbstractTexture {
          * @brief @copybrief Texture::setImage()
          * @return Reference to self (for method chaining)
          *
-         * See @ref Texture::setImage() for more information.
+         * Behavior equivalent to @ref Texture::setImage(), see its
+         * documentation for more information. Any set of @ref ImageFlags is
+         * allowed in @p image --- e.g., it's possible to upload an image not
+         * marked as an array to an array texture.
          * @see @ref maxSize()
          * @deprecated_gl Prefer to use @ref setStorage() and @ref setSubImage()
          *      instead.
@@ -613,7 +625,10 @@ class MAGNUM_GL_EXPORT RectangleTexture: public AbstractTexture {
          * @brief @copybrief Texture::setCompressedImage()
          * @return Reference to self (for method chaining)
          *
-         * See @ref Texture::setCompressedImage() for more information.
+         * Behavior equivalent to @ref Texture::setCompressedImage(), see its
+         * documentation for more information. Any set of @ref ImageFlags is
+         * allowed in @p image --- e.g., it's possible to upload an image not
+         * marked as an array to an array texture.
          * @see @ref maxSize()
          * @requires_gl42 Extension @gl_extension{ARB,compressed_texture_pixel_storage}
          *      for non-default @ref CompressedPixelStorage
@@ -646,7 +661,10 @@ class MAGNUM_GL_EXPORT RectangleTexture: public AbstractTexture {
          * @brief @copybrief Texture::setSubImage()
          * @return Reference to self (for method chaining)
          *
-         * See @ref Texture::setSubImage() for more information.
+         * Behavior equivalent to @ref Texture::setSubImage(), see its
+         * documentation for more information. Any set of @ref ImageFlags is
+         * allowed in @p image --- e.g., it's possible to upload an image not
+         * marked as an array to an array texture.
          */
         RectangleTexture& setSubImage(const Vector2i& offset, const ImageView2D& image) {
             DataHelper<2>::setSubImage(*this, 0, offset, image);
@@ -668,7 +686,10 @@ class MAGNUM_GL_EXPORT RectangleTexture: public AbstractTexture {
          * @brief @copybrief Texture::setCompressedSubImage()
          * @return Reference to self (for method chaining)
          *
-         * See @ref Texture::setCompressedSubImage() for more information.
+         * Behavior equivalent to @ref Texture::setCompressedSubImage(), see
+         * its documentation for more information. Any set of @ref ImageFlags
+         * is allowed in @p image --- e.g., it's possible to upload an image
+         * not marked as an array to an array texture.
          * @requires_gl42 Extension @gl_extension{ARB,compressed_texture_pixel_storage}
          *      for non-default @ref CompressedPixelStorage
          */
diff --git a/src/Magnum/GL/Test/CubeMapTextureArrayGLTest.cpp b/src/Magnum/GL/Test/CubeMapTextureArrayGLTest.cpp
index a40482eab..635faa07a 100644
--- a/src/Magnum/GL/Test/CubeMapTextureArrayGLTest.cpp
+++ b/src/Magnum/GL/Test/CubeMapTextureArrayGLTest.cpp
@@ -640,6 +640,7 @@ void CubeMapTextureArrayGLTest::image() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::CubeMap|ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), Vector3i(2, 2, 6));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorageData[testCaseInstanceId()].offset),
         PixelStorageData[testCaseInstanceId()].data,
@@ -698,11 +699,13 @@ void CubeMapTextureArrayGLTest::imageQueryView() {
     MAGNUM_VERIFY_NO_GL_ERROR();
 
     Containers::Array<char> data{PixelStorageData[testCaseInstanceId()].offset + 2*2*6*4};
-    MutableImageView3D image{PixelStorageData[testCaseInstanceId()].storage, PixelFormat::RGBA, PixelType::UnsignedByte, {2, 2, 6}, data};
+    MutableImageView3D image{PixelStorageData[testCaseInstanceId()].storage, PixelFormat::RGBA, PixelType::UnsignedByte, {2, 2, 6}, data, ImageFlag3D::Array};
     texture.image(0, image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), Vector3i(2, 2, 6));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorageData[testCaseInstanceId()].offset),
         PixelStorageData[testCaseInstanceId()].data,
@@ -748,6 +751,7 @@ void CubeMapTextureArrayGLTest::compressedImage() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::CubeMap|ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), (Vector3i{4, 4, 6}));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(CompressedPixelStorageData[testCaseInstanceId()].offset),
         CompressedPixelStorageData[testCaseInstanceId()].data,
@@ -826,11 +830,13 @@ void CubeMapTextureArrayGLTest::compressedImageQueryView() {
     MAGNUM_VERIFY_NO_GL_ERROR();
 
     Containers::Array<char> data{CompressedPixelStorageData[testCaseInstanceId()].offset + 6*16};
-    MutableCompressedImageView3D image{CompressedPixelStorageData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBAS3tcDxt3, {4, 4, 6}, data};
+    MutableCompressedImageView3D image{CompressedPixelStorageData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBAS3tcDxt3, {4, 4, 6}, data, ImageFlag3D::Array};
     texture.compressedImage(0, image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), (Vector3i{4, 4, 6}));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(CompressedPixelStorageData[testCaseInstanceId()].offset),
         CompressedPixelStorageData[testCaseInstanceId()].data,
@@ -963,6 +969,7 @@ void CubeMapTextureArrayGLTest::subImageQuery() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), Vector3i(2, 2, 4));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(SubPixelStorageData[testCaseInstanceId()].offset),
         SubPixelStorageData[testCaseInstanceId()].data,
@@ -984,11 +991,13 @@ void CubeMapTextureArrayGLTest::subImageQueryView() {
     MAGNUM_VERIFY_NO_GL_ERROR();
 
     Containers::Array<char> data{SubPixelStorageData[testCaseInstanceId()].offset + 2*2*4*4};
-    MutableImageView3D image{PixelStorageData[testCaseInstanceId()].storage, PixelFormat::RGBA, PixelType::UnsignedByte, {2, 2, 4}, data};
+    MutableImageView3D image{PixelStorageData[testCaseInstanceId()].storage, PixelFormat::RGBA, PixelType::UnsignedByte, {2, 2, 4}, data, ImageFlag3D::Array};
     texture.subImage(0, Range3Di::fromSize(Vector3i{1}, {2, 2, 4}), image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), Vector3i(2, 2, 4));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(SubPixelStorageData[testCaseInstanceId()].offset),
         SubPixelStorageData[testCaseInstanceId()].data,
@@ -1216,6 +1225,7 @@ void CubeMapTextureArrayGLTest::compressedSubImageQuery() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), Vector3i{4});
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(CompressedSubPixelStorageData[testCaseInstanceId()].offset),
         CompressedSubPixelStorageData[testCaseInstanceId()].data,
@@ -1243,11 +1253,13 @@ void CubeMapTextureArrayGLTest::compressedSubImageQueryView() {
     MAGNUM_VERIFY_NO_GL_ERROR();
 
     Containers::Array<char> data{CompressedSubPixelStorageData[testCaseInstanceId()].offset + 4*16};
-    MutableCompressedImageView3D image{CompressedPixelStorageData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBAS3tcDxt3, {4, 4, 4}, data};
+    MutableCompressedImageView3D image{CompressedPixelStorageData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBAS3tcDxt3, {4, 4, 4}, data, ImageFlag3D::Array};
     texture.compressedSubImage(0, Range3Di::fromSize({4, 4, 1}, Vector3i{4}), image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), Vector3i{4});
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(CompressedSubPixelStorageData[testCaseInstanceId()].offset),
         CompressedSubPixelStorageData[testCaseInstanceId()].data,
diff --git a/src/Magnum/GL/Test/CubeMapTextureGLTest.cpp b/src/Magnum/GL/Test/CubeMapTextureGLTest.cpp
index 34ae4decd..f6f00669f 100644
--- a/src/Magnum/GL/Test/CubeMapTextureGLTest.cpp
+++ b/src/Magnum/GL/Test/CubeMapTextureGLTest.cpp
@@ -861,6 +861,7 @@ void CubeMapTextureGLTest::image() {
 
         MAGNUM_VERIFY_NO_GL_ERROR();
 
+        CORRADE_COMPARE(image.flags(), ImageFlags2D{});
         CORRADE_COMPARE(image.size(), Vector2i(2));
         CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorageData[testCaseInstanceId()].offset),
             PixelStorageData[testCaseInstanceId()].data,
@@ -872,6 +873,7 @@ void CubeMapTextureGLTest::image() {
 
         MAGNUM_VERIFY_NO_GL_ERROR();
 
+        CORRADE_COMPARE(image.flags(), ImageFlags2D{});
         CORRADE_COMPARE(image.size(), Vector2i(2));
         CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorageData[testCaseInstanceId()].offset),
             PixelStorageData[testCaseInstanceId()].data,
@@ -883,6 +885,7 @@ void CubeMapTextureGLTest::image() {
 
         MAGNUM_VERIFY_NO_GL_ERROR();
 
+        CORRADE_COMPARE(image.flags(), ImageFlags2D{});
         CORRADE_COMPARE(image.size(), Vector2i(2));
         CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorageData[testCaseInstanceId()].offset),
             PixelStorageData[testCaseInstanceId()].data,
@@ -945,11 +948,13 @@ void CubeMapTextureGLTest::imageQueryView() {
 
     Containers::Array<char> data{PixelStorageData[testCaseInstanceId()].offset + 2*2*4};
     MutableImageView2D image{PixelStorageData[testCaseInstanceId()].storage,
-            PixelFormat::RGBA, PixelType::UnsignedByte, Vector2i{2}, data};
+            PixelFormat::RGBA, PixelType::UnsignedByte, Vector2i{2}, data, ImageFlag2D::Array};
     texture.image(CubeMapCoordinate::PositiveY, 0, image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag2D::Array);
     CORRADE_COMPARE(image.size(), Vector2i(2));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorageData[testCaseInstanceId()].offset),
         PixelStorageData[testCaseInstanceId()].data,
@@ -1115,6 +1120,7 @@ void CubeMapTextureGLTest::subImageQuery() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), Vector3i(2, 2, 1));
     CORRADE_COMPARE_AS(Containers::arrayCast<const UnsignedByte>(image.data()).exceptPrefix(PixelStorageData[testCaseInstanceId()].offset),
         PixelStorageData[testCaseInstanceId()].data,
@@ -1135,11 +1141,13 @@ void CubeMapTextureGLTest::subImageQueryView() {
 
     Containers::Array<char> data{PixelStorageData[testCaseInstanceId()].offset + 2*2*4};
     MutableImageView3D image{PixelStorageData[testCaseInstanceId()].storage,
-            PixelFormat::RGBA, PixelType::UnsignedByte, {2, 2, 1}, data};
+        PixelFormat::RGBA, PixelType::UnsignedByte, {2, 2, 1}, data, ImageFlag3D::Array};
     texture.subImage(0, Range3Di::fromSize({1, 1, 0}, {2, 2, 1}), image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), Vector3i(2, 2, 1));
     CORRADE_COMPARE_AS(Containers::arrayCast<const UnsignedByte>(image.data()).exceptPrefix(PixelStorageData[testCaseInstanceId()].offset),
         PixelStorageData[testCaseInstanceId()].data,
@@ -1213,6 +1221,7 @@ void CubeMapTextureGLTest::compressedImage() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlags2D{});
     CORRADE_COMPARE(image.size(), Vector2i{4});
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(CompressedPixelStorageData[testCaseInstanceId()].offset),
         CompressedPixelStorageData[testCaseInstanceId()].data,
@@ -1295,11 +1304,13 @@ void CubeMapTextureGLTest::compressedImageQueryView() {
     MAGNUM_VERIFY_NO_GL_ERROR();
 
     Containers::Array<char> data{CompressedPixelStorageData[testCaseInstanceId()].offset + 16};
-    MutableCompressedImageView2D image{CompressedPixelStorageData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBAS3tcDxt3, Vector2i{4}, data};
+    MutableCompressedImageView2D image{CompressedPixelStorageData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBAS3tcDxt3, Vector2i{4}, data, ImageFlag2D::Array};
     texture.compressedImage(CubeMapCoordinate::PositiveZ, 0, image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag2D::Array);
     CORRADE_COMPARE(image.size(), Vector2i{4});
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(CompressedPixelStorageData[testCaseInstanceId()].offset),
         CompressedPixelStorageData[testCaseInstanceId()].data,
@@ -1653,11 +1664,13 @@ void CubeMapTextureGLTest::compressedSubImageQueryView() {
     MAGNUM_VERIFY_NO_GL_ERROR();
 
     Containers::Array<char> data{CompressedPixelStorageData[testCaseInstanceId()].offset + 16};
-    MutableCompressedImageView3D image{CompressedPixelStorageData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBAS3tcDxt3, {4, 4, 1}, data};
+    MutableCompressedImageView3D image{CompressedPixelStorageData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBAS3tcDxt3, {4, 4, 1}, data, ImageFlag3D::Array};
     texture.compressedSubImage(0, Range3Di::fromSize({4, 4, 0}, {4, 4, 1}), image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), (Vector3i{4, 4, 1}));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(CompressedPixelStorageData[testCaseInstanceId()].offset),
         CompressedPixelStorageData[testCaseInstanceId()].data,
@@ -1805,6 +1818,7 @@ void CubeMapTextureGLTest::image3D() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::CubeMap);
     CORRADE_COMPARE(image.size(), Vector3i(2, 2, 6));
     {
         CORRADE_EXPECT_FAIL_IF((Context::current().detectedDriver() & Context::DetectedDriver::Mesa) && FullPixelStorageData[testCaseInstanceId()].storage != PixelStorage{},
@@ -1861,11 +1875,13 @@ void CubeMapTextureGLTest::image3DQueryView() {
     MAGNUM_VERIFY_NO_GL_ERROR();
 
     Containers::Array<char> data{FullPixelStorageData[testCaseInstanceId()].offset + 2*2*6*4};
-    MutableImageView3D image{FullPixelStorageData[testCaseInstanceId()].storage, PixelFormat::RGBA, PixelType::UnsignedByte, {2, 2, 6}, data};
+    MutableImageView3D image{FullPixelStorageData[testCaseInstanceId()].storage, PixelFormat::RGBA, PixelType::UnsignedByte, {2, 2, 6}, data, ImageFlag3D::Array};
     texture.image(0, image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), Vector3i(2, 2, 6));
     {
         CORRADE_EXPECT_FAIL_IF((Context::current().detectedDriver() & Context::DetectedDriver::Mesa) && FullPixelStorageData[testCaseInstanceId()].storage != PixelStorage{},
@@ -1957,6 +1973,7 @@ void CubeMapTextureGLTest::compressedImage3D() {
         #endif
     }
 
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::CubeMap);
     CORRADE_COMPARE(image.size(), (Vector3i{4, 4, 6}));
     {
         CORRADE_EXPECT_FAIL_IF((Context::current().detectedDriver() & Context::DetectedDriver::Mesa) && CompressedFullPixelStorageData[testCaseInstanceId()].storage != CompressedPixelStorage{},
@@ -2045,7 +2062,7 @@ void CubeMapTextureGLTest::compressedImage3DQueryView() {
     }
 
     Containers::Array<char> data{CompressedFullPixelStorageData[testCaseInstanceId()].offset + 16*6};
-    MutableCompressedImageView3D image{CompressedFullPixelStorageData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBAS3tcDxt3, {4, 4, 6}, data};
+    MutableCompressedImageView3D image{CompressedFullPixelStorageData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBAS3tcDxt3, {4, 4, 6}, data, ImageFlag3D::Array};
     texture.compressedImage(0, image);
 
     {
@@ -2061,6 +2078,8 @@ void CubeMapTextureGLTest::compressedImage3DQueryView() {
         #endif
     }
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), (Vector3i{4, 4, 6}));
     {
         CORRADE_EXPECT_FAIL_IF((Context::current().detectedDriver() & Context::DetectedDriver::Mesa) && CompressedFullPixelStorageData[testCaseInstanceId()].storage != CompressedPixelStorage{},
diff --git a/src/Magnum/GL/Test/RectangleTextureGLTest.cpp b/src/Magnum/GL/Test/RectangleTextureGLTest.cpp
index 2cc46d76c..29ecc5525 100644
--- a/src/Magnum/GL/Test/RectangleTextureGLTest.cpp
+++ b/src/Magnum/GL/Test/RectangleTextureGLTest.cpp
@@ -373,6 +373,7 @@ void RectangleTextureGLTest::image() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlag2D{});
     CORRADE_COMPARE(image.size(), Vector2i(2));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorageData[testCaseInstanceId()].offset),
         PixelStorageData[testCaseInstanceId()].data,
@@ -421,11 +422,13 @@ void RectangleTextureGLTest::imageQueryView() {
     MAGNUM_VERIFY_NO_GL_ERROR();
 
     Containers::Array<char> data{PixelStorageData[testCaseInstanceId()].offset + 2*2*4};
-    MutableImageView2D image{PixelStorageData[testCaseInstanceId()].storage, PixelFormat::RGBA, PixelType::UnsignedByte, Vector2i{2}, data};
+    MutableImageView2D image{PixelStorageData[testCaseInstanceId()].storage, PixelFormat::RGBA, PixelType::UnsignedByte, Vector2i{2}, data, ImageFlag2D::Array};
     texture.image(image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag2D::Array);
     CORRADE_COMPARE(image.size(), Vector2i(2));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorageData[testCaseInstanceId()].offset),
         PixelStorageData[testCaseInstanceId()].data,
@@ -513,6 +516,7 @@ void RectangleTextureGLTest::subImageQuery() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlag2D{});
     CORRADE_COMPARE(image.size(), Vector2i{2});
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorageData[testCaseInstanceId()].offset),
         PixelStorageData[testCaseInstanceId()].data,
@@ -534,11 +538,13 @@ void RectangleTextureGLTest::subImageQueryView() {
     MAGNUM_VERIFY_NO_GL_ERROR();
 
     Containers::Array<char> data{PixelStorageData[testCaseInstanceId()].offset + 2*2*4};
-    MutableImageView2D image{PixelStorageData[testCaseInstanceId()].storage, PixelFormat::RGBA, PixelType::UnsignedByte, Vector2i{2}, data};
+    MutableImageView2D image{PixelStorageData[testCaseInstanceId()].storage, PixelFormat::RGBA, PixelType::UnsignedByte, Vector2i{2}, data, ImageFlag2D::Array};
     texture.subImage(Range2Di::fromSize(Vector2i{1}, Vector2i{2}), image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag2D::Array);
     CORRADE_COMPARE(image.size(), Vector2i{2});
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorageData[testCaseInstanceId()].offset),
         PixelStorageData[testCaseInstanceId()].data,
diff --git a/src/Magnum/GL/Test/TextureArrayGLTest.cpp b/src/Magnum/GL/Test/TextureArrayGLTest.cpp
index 417082288..e7f558b82 100644
--- a/src/Magnum/GL/Test/TextureArrayGLTest.cpp
+++ b/src/Magnum/GL/Test/TextureArrayGLTest.cpp
@@ -954,6 +954,7 @@ void TextureArrayGLTest::image1D() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlag2D::Array);
     CORRADE_COMPARE(image.size(), Vector2i(2));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage1DData[testCaseInstanceId()].offset),
         PixelStorage1DData[testCaseInstanceId()].data,
@@ -1002,11 +1003,13 @@ void TextureArrayGLTest::image1DQueryView() {
 
     Containers::Array<char> data{PixelStorage1DData[testCaseInstanceId()].offset + 2*2*4};
     MutableImageView2D image{PixelStorage1DData[testCaseInstanceId()].storage,
-        PixelFormat::RGBA, PixelType::UnsignedByte, Vector2i{2}, data};
+        PixelFormat::RGBA, PixelType::UnsignedByte, Vector2i{2}, data, ImageFlag2D::Array};
     texture.image(0, image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag2D::Array);
     CORRADE_COMPARE(image.size(), Vector2i(2));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage1DData[testCaseInstanceId()].offset),
         PixelStorage1DData[testCaseInstanceId()].data,
@@ -1094,6 +1097,7 @@ void TextureArrayGLTest::subImage1DQuery() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlag2D::Array);
     CORRADE_COMPARE(image.size(), Vector2i{2});
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage1DData[testCaseInstanceId()].offset),
         PixelStorage1DData[testCaseInstanceId()].data,
@@ -1116,11 +1120,13 @@ void TextureArrayGLTest::subImage1DQueryView() {
 
     Containers::Array<char> data{PixelStorage1DData[testCaseInstanceId()].offset + 2*2*4};
     MutableImageView2D image{PixelStorage1DData[testCaseInstanceId()].storage,
-        PixelFormat::RGBA, PixelType::UnsignedByte, Vector2i{2}, data};
+        PixelFormat::RGBA, PixelType::UnsignedByte, Vector2i{2}, data, ImageFlag2D::Array};
     texture.subImage(0, Range2Di::fromSize(Vector2i{1}, Vector2i{2}), image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag2D::Array);
     CORRADE_COMPARE(image.size(), Vector2i{2});
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage1DData[testCaseInstanceId()].offset),
         PixelStorage1DData[testCaseInstanceId()].data,
@@ -1212,6 +1218,7 @@ void TextureArrayGLTest::image2D() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), Vector3i(2));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage2DData[testCaseInstanceId()].offset),
         PixelStorage2DData[testCaseInstanceId()].data,
@@ -1391,6 +1398,7 @@ void TextureArrayGLTest::subImage2DQuery() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), Vector3i{2});
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage2DData[testCaseInstanceId()].offset),
         PixelStorage2DData[testCaseInstanceId()].data,
@@ -1413,11 +1421,13 @@ void TextureArrayGLTest::subImage2DQueryView() {
 
     Containers::Array<char> data{PixelStorage2DData[testCaseInstanceId()].offset + 2*2*2*4};
     MutableImageView3D image{PixelStorage2DData[testCaseInstanceId()].storage,
-        PixelFormat::RGBA, PixelType::UnsignedByte, Vector3i{2}, data};
+        PixelFormat::RGBA, PixelType::UnsignedByte, Vector3i{2}, data, ImageFlag3D::Array};
     texture.subImage(0, Range3Di::fromSize(Vector3i{1}, Vector3i{2}), image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), Vector3i{2});
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage2DData[testCaseInstanceId()].offset),
         PixelStorage2DData[testCaseInstanceId()].data,
@@ -1490,6 +1500,7 @@ void TextureArrayGLTest::compressedImage2D() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), (Vector3i{4, 4, 2}));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(CompressedPixelStorage2DData[testCaseInstanceId()].offset),
         CompressedPixelStorage2DData[testCaseInstanceId()].data,
@@ -1741,6 +1752,7 @@ void TextureArrayGLTest::compressedSubImage2DQuery() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), (Vector3i{4, 4, 2}));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(CompressedPixelStorage2DData[testCaseInstanceId()].offset),
         CompressedPixelStorage2DData[testCaseInstanceId()].data,
@@ -1769,11 +1781,13 @@ void TextureArrayGLTest::compressedSubImage2DQueryView() {
     MAGNUM_VERIFY_NO_GL_ERROR();
 
     Containers::Array<char> data{CompressedPixelStorage2DData[testCaseInstanceId()].offset + 2*16};
-    MutableCompressedImageView3D image{CompressedPixelStorage2DData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBAS3tcDxt3, {4, 4, 2}, data};
+    MutableCompressedImageView3D image{CompressedPixelStorage2DData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBAS3tcDxt3, {4, 4, 2}, data, ImageFlag3D::Array};
     texture.compressedSubImage(0, Range3Di::fromSize({4, 0, 1}, {4, 4, 2}), image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), (Vector3i{4, 4, 2}));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(CompressedPixelStorage2DData[testCaseInstanceId()].offset),
         CompressedPixelStorage2DData[testCaseInstanceId()].data,
diff --git a/src/Magnum/GL/Test/TextureGLTest.cpp b/src/Magnum/GL/Test/TextureGLTest.cpp
index e46d9ada7..c90aba627 100644
--- a/src/Magnum/GL/Test/TextureGLTest.cpp
+++ b/src/Magnum/GL/Test/TextureGLTest.cpp
@@ -1429,6 +1429,7 @@ void TextureGLTest::image1D() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlags1D{});
     CORRADE_COMPARE(image.size(), 2);
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage1DData[testCaseInstanceId()].offset),
         PixelStorage1DData[testCaseInstanceId()].data,
@@ -1477,6 +1478,8 @@ void TextureGLTest::image1DQueryView() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlags1D{});
     CORRADE_COMPARE(image.size(), 2);
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage1DData[testCaseInstanceId()].offset),
         PixelStorage1DData[testCaseInstanceId()].data,
@@ -1553,6 +1556,7 @@ void TextureGLTest::subImage1DQuery() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlags1D{});
     CORRADE_COMPARE(image.size(), 2);
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage1DData[testCaseInstanceId()].offset),
         PixelStorage1DData[testCaseInstanceId()].data,
@@ -1578,6 +1582,8 @@ void TextureGLTest::subImage1DQueryView() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlags1D{});
     CORRADE_COMPARE(image.size(), 2);
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage1DData[testCaseInstanceId()].offset),
         PixelStorage1DData[testCaseInstanceId()].data,
@@ -1676,6 +1682,7 @@ void TextureGLTest::image2D() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlags2D{});
     CORRADE_COMPARE(image.size(), Vector2i(2));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage2DData[testCaseInstanceId()].offset),
         PixelStorage2DData[testCaseInstanceId()].data,
@@ -1727,11 +1734,13 @@ void TextureGLTest::image2DQueryView() {
 
     Containers::Array<char> data{PixelStorage2DData[testCaseInstanceId()].offset + 2*2*4};
     MutableImageView2D image{PixelStorage2DData[testCaseInstanceId()].storage,
-        PixelFormat::RGBA, PixelType::UnsignedByte, Vector2i{2}, data};
+        PixelFormat::RGBA, PixelType::UnsignedByte, Vector2i{2}, data, ImageFlag2D::Array};
     texture.image(0, image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag2D::Array);
     CORRADE_COMPARE(image.size(), Vector2i(2));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage2DData[testCaseInstanceId()].offset),
         PixelStorage2DData[testCaseInstanceId()].data,
@@ -1837,6 +1846,7 @@ void TextureGLTest::subImage2DQuery() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlags2D{});
     CORRADE_COMPARE(image.size(), Vector2i{2});
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage2DData[testCaseInstanceId()].offset),
         PixelStorage2DData[testCaseInstanceId()].data,
@@ -1857,11 +1867,13 @@ void TextureGLTest::subImage2DQueryView() {
 
     Containers::Array<char> data{PixelStorage2DData[testCaseInstanceId()].offset + 2*2*4};
     MutableImageView2D image{PixelStorage2DData[testCaseInstanceId()].storage,
-        PixelFormat::RGBA, PixelType::UnsignedByte, Vector2i{2}, data};
+        PixelFormat::RGBA, PixelType::UnsignedByte, Vector2i{2}, data, ImageFlag2D::Array};
     texture.subImage(0, Range2Di::fromSize(Vector2i{1}, Vector2i{2}), image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag2D::Array);
     CORRADE_COMPARE(image.size(), Vector2i{2});
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage2DData[testCaseInstanceId()].offset),
         PixelStorage2DData[testCaseInstanceId()].data,
@@ -1928,6 +1940,7 @@ void TextureGLTest::compressedImage2D() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlags2D{});
     CORRADE_COMPARE(image.size(), Vector2i{4});
 
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(CompressedPixelStorage2DData[testCaseInstanceId()].offset),
@@ -2000,11 +2013,13 @@ void TextureGLTest::compressedImage2DQueryView() {
     MAGNUM_VERIFY_NO_GL_ERROR();
 
     Containers::Array<char> data{CompressedPixelStorage2DData[testCaseInstanceId()].offset + 1*16};
-    MutableCompressedImageView2D image{CompressedPixelStorage2DData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBAS3tcDxt3, Vector2i{4}, data};
+    MutableCompressedImageView2D image{CompressedPixelStorage2DData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBAS3tcDxt3, Vector2i{4}, data, ImageFlag2D::Array};
     texture.compressedImage(0, image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag2D::Array);
     CORRADE_COMPARE(image.size(), Vector2i{4});
 
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(CompressedPixelStorage2DData[testCaseInstanceId()].offset),
@@ -2142,6 +2157,7 @@ void TextureGLTest::compressedSubImage2DQuery() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlags2D{});
     CORRADE_COMPARE(image.size(), Vector2i{4});
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(CompressedPixelStorage2DData[testCaseInstanceId()].offset),
         CompressedPixelStorage2DData[testCaseInstanceId()].data,
@@ -2167,11 +2183,13 @@ void TextureGLTest::compressedSubImage2DQueryView() {
     MAGNUM_VERIFY_NO_GL_ERROR();
 
     Containers::Array<char> data{CompressedPixelStorage2DData[testCaseInstanceId()].offset + 1*16};
-    MutableCompressedImageView2D image{CompressedPixelStorage2DData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBAS3tcDxt3, Vector2i{4}, data};
+    MutableCompressedImageView2D image{CompressedPixelStorage2DData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBAS3tcDxt3, Vector2i{4}, data, ImageFlag2D::Array};
     texture.compressedSubImage(0, Range2Di::fromSize({4, 0}, Vector2i{4}), image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag2D::Array);
     CORRADE_COMPARE(image.size(), Vector2i{4});
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(CompressedPixelStorage2DData[testCaseInstanceId()].offset),
         CompressedPixelStorage2DData[testCaseInstanceId()].data,
@@ -2235,6 +2253,7 @@ void TextureGLTest::image3D() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlags3D{});
     CORRADE_COMPARE(image.size(), Vector3i(2));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage3DData[testCaseInstanceId()].offset),
         PixelStorage3DData[testCaseInstanceId()].data,
@@ -2286,11 +2305,13 @@ void TextureGLTest::image3DQueryView() {
 
     Containers::Array<char> data{PixelStorage3DData[testCaseInstanceId()].offset + 2*2*2*4};
     MutableImageView3D image{PixelStorage3DData[testCaseInstanceId()].storage,
-        PixelFormat::RGBA, PixelType::UnsignedByte, Vector3i{2}, data};
+        PixelFormat::RGBA, PixelType::UnsignedByte, Vector3i{2}, data, ImageFlag3D::Array};
     texture.image(0, image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), Vector3i(2));
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage3DData[testCaseInstanceId()].offset),
         PixelStorage3DData[testCaseInstanceId()].data,
@@ -2405,6 +2426,7 @@ void TextureGLTest::subImage3DQuery() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlags3D{});
     CORRADE_COMPARE(image.size(), Vector3i{2});
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage3DData[testCaseInstanceId()].offset),
         PixelStorage3DData[testCaseInstanceId()].data,
@@ -2425,11 +2447,13 @@ void TextureGLTest::subImage3DQueryView() {
 
     Containers::Array<char> data{PixelStorage3DData[testCaseInstanceId()].offset + 2*2*2*4};
     MutableImageView3D image{PixelStorage3DData[testCaseInstanceId()].storage,
-        PixelFormat::RGBA, PixelType::UnsignedByte, Vector3i{2}, data};
+        PixelFormat::RGBA, PixelType::UnsignedByte, Vector3i{2}, data, ImageFlag3D::Array};
     texture.subImage(0, Range3Di::fromSize(Vector3i{1}, Vector3i{2}), image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), Vector3i{2});
     CORRADE_COMPARE_AS(Containers::arrayCast<UnsignedByte>(image.data()).exceptPrefix(PixelStorage3DData[testCaseInstanceId()].offset),
         PixelStorage3DData[testCaseInstanceId()].data,
@@ -2492,6 +2516,7 @@ void TextureGLTest::compressedImage3D() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlags3D{});
     CORRADE_COMPARE(image.size(), Vector3i{4});
     {
         CORRADE_EXPECT_FAIL_IF((Context::current().detectedDriver() & Context::DetectedDriver::Mesa) && CompressedPixelStorage3DData[testCaseInstanceId()].storage != CompressedPixelStorage{},
@@ -2564,11 +2589,13 @@ void TextureGLTest::compressedImage3DQueryView() {
     MAGNUM_VERIFY_NO_GL_ERROR();
 
     Containers::Array<char> data{CompressedPixelStorage2DData[testCaseInstanceId()].offset + 64};
-    MutableCompressedImageView3D image{CompressedPixelStorage2DData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBABptcUnorm, Vector3i{4}, data};
+    MutableCompressedImageView3D image{CompressedPixelStorage2DData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBABptcUnorm, Vector3i{4}, data, ImageFlag3D::Array};
     texture.compressedImage(0, image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), Vector3i{4});
     {
         CORRADE_EXPECT_FAIL_IF((Context::current().detectedDriver() & Context::DetectedDriver::Mesa) && CompressedPixelStorage3DData[testCaseInstanceId()].storage != CompressedPixelStorage{},
@@ -2741,6 +2768,7 @@ void TextureGLTest::compressedSubImage3DQuery() {
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    CORRADE_COMPARE(image.flags(), ImageFlags3D{});
     CORRADE_COMPARE(image.size(), (Vector3i{4}));
 
     {
@@ -2773,11 +2801,13 @@ void TextureGLTest::compressedSubImage3DQueryView() {
     MAGNUM_VERIFY_NO_GL_ERROR();
 
     Containers::Array<char> data{CompressedPixelStorage2DData[testCaseInstanceId()].offset + 64};
-    MutableCompressedImageView3D image{CompressedPixelStorage2DData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBABptcUnorm, Vector3i{4}, data};
+    MutableCompressedImageView3D image{CompressedPixelStorage2DData[testCaseInstanceId()].storage, CompressedPixelFormat::RGBABptcUnorm, Vector3i{4}, data, ImageFlag3D::Array};
     texture.compressedSubImage(0, Range3Di::fromSize({4, 0, 0}, Vector3i{4}), image);
 
     MAGNUM_VERIFY_NO_GL_ERROR();
 
+    /* Doesn't matter what flags are set, they stay untouched */
+    CORRADE_COMPARE(image.flags(), ImageFlag3D::Array);
     CORRADE_COMPARE(image.size(), (Vector3i{4}));
 
     {
diff --git a/src/Magnum/GL/Texture.h b/src/Magnum/GL/Texture.h
index efe1f2ff7..db31a9c93 100644
--- a/src/Magnum/GL/Texture.h
+++ b/src/Magnum/GL/Texture.h
@@ -766,9 +766,10 @@ template<UnsignedInt dimensions> class Texture: public AbstractTexture {
          *
          * Image parameters like format and type of pixel data are taken from
          * given image, image size is taken from the texture using
-         * @ref imageSize(). The storage is not reallocated if it is large
-         * enough to contain the new data --- however if you want to read into
-         * existing memory or *ensure* a reallocation does not happen, use
+         * @ref imageSize(). @ref ImageFlags of @p image get cleared. The
+         * storage is not reallocated if it is large enough to contain the new
+         * data --- however if you want to read into existing memory or
+         * *ensure* a reallocation does not happen, use
          * @ref image(Int, const BasicMutableImageView<dimensions>&) instead.
          *
          * If @gl_extension{ARB,direct_state_access} (part of OpenGL 4.5) is
@@ -788,7 +789,7 @@ template<UnsignedInt dimensions> class Texture: public AbstractTexture {
          *      for possible workarounds.
          */
         void image(Int level, Image<dimensions>& image) {
-            AbstractTexture::image<dimensions>(level, image);
+            AbstractTexture::image<dimensions>(level, image, ImageFlags<dimensions>{});
         }
 
         /** @overload
@@ -806,6 +807,8 @@ template<UnsignedInt dimensions> class Texture: public AbstractTexture {
          * Compared to @ref image(Int, Image<dimensions>&) the function reads
          * the pixels into the memory provided by @p image, expecting it's not
          * @cpp nullptr @ce and its size is the same as size of given @p level.
+         * Any set of @ref ImageFlags is allowed in @p image --- e.g., it's
+         * possible to read a 3D texture to an image marked as 2D array.
          */
         void image(Int level, const BasicMutableImageView<dimensions>& image) {
             AbstractTexture::image<dimensions>(level, image);
@@ -844,10 +847,11 @@ template<UnsignedInt dimensions> class Texture: public AbstractTexture {
          * @param image             Image where to put the compressed data
          *
          * Compression format and data size are taken from the texture, image
-         * size is taken using @ref imageSize(). The storage is not reallocated
-         * if it is large enough to contain the new data --- however if you
-         * want to read into existing memory or *ensure* a reallocation does
-         * not happen, use @ref compressedImage(Int, const BasicMutableCompressedImageView<dimensions>&)
+         * size is taken using @ref imageSize(). @ref ImageFlags of @p image
+         * get cleared. The storage is not reallocated if it is large enough to
+         * contain the new data --- however if you want to read into existing
+         * memory or *ensure* a reallocation does not happen, use
+         * @ref compressedImage(Int, const BasicMutableCompressedImageView<dimensions>&)
          * instead.
          *
          * If @gl_extension{ARB,direct_state_access} (part of OpenGL 4.5) is
@@ -871,7 +875,7 @@ template<UnsignedInt dimensions> class Texture: public AbstractTexture {
          *      for possible workarounds.
          */
         void compressedImage(Int level, CompressedImage<dimensions>& image) {
-            AbstractTexture::compressedImage<dimensions>(level, image);
+            AbstractTexture::compressedImage<dimensions>(level, image, ImageFlags<dimensions>{});
         }
 
         /** @overload
@@ -890,6 +894,8 @@ template<UnsignedInt dimensions> class Texture: public AbstractTexture {
          * the function reads the pixels into the memory provided by @p image,
          * expecting it's not @cpp nullptr @ce, its format is the same as
          * texture format and its size is the same as size of given @p level.
+         * Any set of @ref ImageFlags is allowed in @p image --- e.g., it's
+         * possible to read a 3D texture to an image marked as 2D array.
          */
         void compressedImage(Int level, const BasicMutableCompressedImageView<dimensions>& image) {
             AbstractTexture::compressedImage<dimensions>(level, image);
@@ -931,9 +937,10 @@ template<UnsignedInt dimensions> class Texture: public AbstractTexture {
          * @param image             Image where to put the data
          *
          * Image parameters like format and type of pixel data are taken from
-         * given image. The storage is not reallocated if it is large enough to
-         * contain the new data --- however if you want to read into existing
-         * memory or *ensure* a reallocation does not happen, use
+         * given image. @ref ImageFlags of @p image get cleared. The storage is
+         * not reallocated if it is large enough to contain the new data ---
+         * however if you want to read into existing memory or *ensure* a
+         * reallocation does not happen, use
          * @ref subImage(Int, const RangeTypeFor<dimensions, Int>&, const BasicMutableImageView<dimensions>&)
          * instead.
          *
@@ -944,7 +951,7 @@ template<UnsignedInt dimensions> class Texture: public AbstractTexture {
          *      WebGL. See @ref Framebuffer::read() for possible workaround.
          */
         void subImage(Int level, const RangeTypeFor<dimensions, Int>& range, Image<dimensions>& image) {
-            AbstractTexture::subImage<dimensions>(level, range, image);
+            AbstractTexture::subImage<dimensions>(level, range, image, ImageFlags<dimensions>{});
         }
 
         /** @overload
@@ -962,7 +969,9 @@ template<UnsignedInt dimensions> class Texture: public AbstractTexture {
          * Compared to @ref subImage(Int, const RangeTypeFor<dimensions, Int>&, Image<dimensions>&)
          * the function reads the pixels into the memory provided by @p image,
          * expecting it's not @cpp nullptr @ce and its size is the same as
-         * @p range size.
+         * @p range size. Any set of @ref ImageFlags is allowed in @p image ---
+         * e.g., it's possible to read a 3D texture to an image marked as 2D
+         * array.
          */
         void subImage(Int level, const RangeTypeFor<dimensions, Int>& range, const BasicMutableImageView<dimensions>& image) {
             AbstractTexture::subImage<dimensions>(level, range, image);
@@ -1001,10 +1010,11 @@ template<UnsignedInt dimensions> class Texture: public AbstractTexture {
          * @param range             Range to read
          * @param image             Image where to put the compressed data
          *
-         * Compression format and data size are taken from the texture. The
-         * storage is not reallocated if it is large enough to contain the new
-         * data --- however if you want to read into existing memory or
-         * *ensure* a reallocation does not happen, use
+         * Compression format and data size are taken from the texture.
+         * @ref ImageFlags of @p image get cleared. The storage is not
+         * reallocated if it is large enough to contain the new data ---
+         * however if you want to read into existing memory or *ensure* a
+         * reallocation does not happen, use
          * @ref compressedSubImage(Int, const RangeTypeFor<dimensions, Int>&, const BasicMutableCompressedImageView<dimensions>&)
          * instead.
          * @see @fn_gl2{GetTextureLevelParameter,GetTexLevelParameter},
@@ -1026,7 +1036,7 @@ template<UnsignedInt dimensions> class Texture: public AbstractTexture {
          *      for possible workarounds.
          */
         void compressedSubImage(Int level, const RangeTypeFor<dimensions, Int>& range, CompressedImage<dimensions>& image) {
-            AbstractTexture::compressedSubImage<dimensions>(level, range, image);
+            AbstractTexture::compressedSubImage<dimensions>(level, range, image, ImageFlags<dimensions>{});
         }
 
         /** @overload
@@ -1044,7 +1054,9 @@ template<UnsignedInt dimensions> class Texture: public AbstractTexture {
          * Compared to @ref compressedSubImage(Int, const RangeTypeFor<dimensions, Int>&, CompressedImage<dimensions>&)
          * the function reads the pixels into the memory provided by @p image,
          * expecting it's not @cpp nullptr @ce, its format is the same as
-         * texture format and its size is the same as @p range size.
+         * texture format and its size is the same as @p range size. Any set of
+         * @ref ImageFlags is allowed in @p image --- e.g., it's possible to
+         * read a 3D texture to an image marked as 2D array.
          */
         void compressedSubImage(Int level, const RangeTypeFor<dimensions, Int>& range, const BasicMutableCompressedImageView<dimensions>& image) {
             AbstractTexture::compressedSubImage<dimensions>(level, range, image);
@@ -1097,7 +1109,9 @@ template<UnsignedInt dimensions> class Texture: public AbstractTexture {
          * equivalent in @gl_extension{ARB,direct_state_access}, thus the texture
          * needs to be bound to some texture unit before the operation.
          *
-         * On OpenGL ES 2.0 and WebGL 1.0, if @ref PixelStorage::skip() is set,
+         * Any set of @ref ImageFlags is allowed in @p image --- e.g., it's
+         * possible to upload an image marked as 2D array to a 3D texture. On
+         * OpenGL ES 2.0 and WebGL 1.0, if @ref PixelStorage::skip() is set,
          * the functionality is emulated by adjusting the data pointer.
          * @see @ref maxSize(), @ref Framebuffer::copyImage(), @fn_gl{PixelStore},
          *      then @fn_gl{ActiveTexture}, @fn_gl{BindTexture} and
@@ -1158,6 +1172,9 @@ template<UnsignedInt dimensions> class Texture: public AbstractTexture {
          * also has no equivalent in @gl_extension{ARB,direct_state_access},
          * thus the texture needs to be bound to some texture unit before the
          * operation.
+         *
+         * Any set of @ref ImageFlags is allowed in @p image --- e.g., it's
+         * possible to upload an image marked as 2D array to a 3D texture.
          * @see @ref maxSize(), @fn_gl{PixelStore}, then @fn_gl{ActiveTexture},
          *      @fn_gl{BindTexture} and @fn_gl_keyword{CompressedTexImage1D} /
          *      @fn_gl_keyword{CompressedTexImage2D} /
@@ -1221,7 +1238,9 @@ template<UnsignedInt dimensions> class Texture: public AbstractTexture {
          * not available, the texture is bound before the operation (if not
          * already).
          *
-         * On OpenGL ES 2.0 and WebGL 1.0, if @ref PixelStorage::skip() is set,
+         * Any set of @ref ImageFlags is allowed in @p image --- e.g., it's
+         * possible to upload an image marked as 2D array to a 3D texture. On
+         * OpenGL ES 2.0 and WebGL 1.0, if @ref PixelStorage::skip() is set,
          * the functionality is emulated by adjusting the data pointer.
          * @see @ref setStorage(), @ref Framebuffer::copySubImage(),
          *      @fn_gl{PixelStore}, @fn_gl2_keyword{TextureSubImage1D,TexSubImage1D} /
@@ -1282,6 +1301,9 @@ template<UnsignedInt dimensions> class Texture: public AbstractTexture {
          * If @gl_extension{ARB,direct_state_access} (part of OpenGL 4.5) is
          * not available, the texture is bound before the operation (if not
          * already).
+         *
+         * Any set of @ref ImageFlags is allowed in @p image --- e.g., it's
+         * possible to upload an image marked as 2D array to a 3D texture.
          * @see @ref setStorage(), @fn_gl{PixelStore},
          *      @fn_gl2_keyword{CompressedTextureSubImage1D,CompressedTexSubImage1D} /
          *      @fn_gl2_keyword{CompressedTextureSubImage2D,CompressedTexSubImage2D} /
diff --git a/src/Magnum/GL/TextureArray.h b/src/Magnum/GL/TextureArray.h
index c4e3af507..5cbf345e8 100644
--- a/src/Magnum/GL/TextureArray.h
+++ b/src/Magnum/GL/TextureArray.h
@@ -518,13 +518,15 @@ template<UnsignedInt dimensions> class TextureArray: public AbstractTexture {
         /**
          * @brief Read given texture mip level to an image
          *
-         * See @ref Texture::image(Int, Image&) for more information.
+         * Behavior mostly equivalent to @ref Texture::image(Int, Image&), see
+         * its documentation for more information. In this case however,
+         * @ref ImageFlags of @p image get set to @ref ImageFlag3D::Array "ImageFlag*D::Array".
          * @requires_gl Texture image queries are not available in OpenGL ES or
          *      WebGL. See @ref Framebuffer::read() or @ref DebugTools::textureSubImage()
          *      for possible workarounds.
          */
         void image(Int level, Image<dimensions+1>& image) {
-            AbstractTexture::image<dimensions+1>(level, image);
+            AbstractTexture::image<dimensions+1>(level, image, ImageFlag<dimensions+1>::Array);
         }
 
         /** @overload
@@ -542,6 +544,9 @@ template<UnsignedInt dimensions> class TextureArray: public AbstractTexture {
          * Compared to @ref image(Int, Image<dimensions+1>&) the function reads
          * the pixels into the memory provided by @p image, expecting it's not
          * @cpp nullptr @ce and its size is the same as size of given @p level.
+         * Any set of @ref ImageFlags is allowed in @p image --- e.g., it's
+         * possible to read an array texture to an image not marked as an
+         * array.
          */
         void image(Int level, const BasicMutableImageView<dimensions+1>& image) {
             AbstractTexture::image<dimensions+1>(level, image);
@@ -571,8 +576,10 @@ template<UnsignedInt dimensions> class TextureArray: public AbstractTexture {
         /**
          * @brief Read given compressed texture mip level to an image
          *
-         * See @ref Texture::compressedImage(Int, CompressedImage&) for more
-         * information.
+         * Behavior mostly equivalent to
+         * @ref Texture::compressedImage(Int, CompressedImage&), see its
+         * documentation for more information. In this case however,
+         * @ref ImageFlags of @p image get set to @ref ImageFlag3D::Array "ImageFlag*D::Array".
          * @requires_gl42 Extension @gl_extension{ARB,compressed_texture_pixel_storage}
          *      for non-default @ref CompressedPixelStorage
          * @requires_gl Texture image queries are not available in OpenGL ES or
@@ -580,7 +587,7 @@ template<UnsignedInt dimensions> class TextureArray: public AbstractTexture {
          *      for possible workarounds.
          */
         void compressedImage(Int level, CompressedImage<dimensions+1>& image) {
-            AbstractTexture::compressedImage<dimensions+1>(level, image);
+            AbstractTexture::compressedImage<dimensions+1>(level, image, ImageFlag<dimensions+1>::Array);
         }
 
         /** @overload
@@ -599,6 +606,9 @@ template<UnsignedInt dimensions> class TextureArray: public AbstractTexture {
          * the function reads the pixels into the memory provided by @p image,
          * expecting it's not @cpp nullptr @ce, its format is the same as
          * texture format and its size is the same as size of given @p level.
+         * Any set of @ref ImageFlags is allowed in @p image --- e.g., it's
+         * possible to read an array texture to an image not marked as an
+         * array.
          */
         void compressedImage(Int level, const BasicMutableCompressedImageView<dimensions+1>& image) {
             AbstractTexture::compressedImage<dimensions+1>(level, image);
@@ -630,15 +640,17 @@ template<UnsignedInt dimensions> class TextureArray: public AbstractTexture {
         /**
          * @brief Read a range of given texture mip level to an image
          *
-         * See @ref Texture::subImage(Int, const RangeTypeFor<dimensions, Int>&, Image&)
-         * for more information.
+         * Behavior mostly equivalent to
+         * @ref Texture::subImage(Int, const RangeTypeFor<dimensions, Int>&, Image&), see its
+         * documentation for more information. In this case however,
+         * @ref ImageFlags of @p image get set to @ref ImageFlag3D::Array "ImageFlag*D::Array".
          * @requires_gl45 Extension @gl_extension{ARB,get_texture_sub_image}
          * @requires_gl Texture image queries are not available in OpenGL ES or
          *      WebGL. See @ref Framebuffer::read() or @ref DebugTools::textureSubImage()
          *      for possible workarounds.
          */
         void subImage(Int level, const RangeTypeFor<dimensions+1, Int>& range, Image<dimensions+1>& image) {
-            AbstractTexture::subImage<dimensions+1>(level, range, image);
+            AbstractTexture::subImage<dimensions+1>(level, range, image, ImageFlag<dimensions+1>::Array);
         }
 
         /** @overload
@@ -656,7 +668,9 @@ template<UnsignedInt dimensions> class TextureArray: public AbstractTexture {
          * Compared to @ref subImage(Int, const RangeTypeFor<dimensions+1, Int>&, Image<dimensions+1>&)
          * the function reads the pixels into the memory provided by @p image,
          * expecting it's not @cpp nullptr @ce and its size is the same as
-         * @p range size.
+         * @p range size. Any set of @ref ImageFlags is allowed in @p image ---
+         * e.g., it's possible to read an array texture to an image not marked
+         * as an array.
          */
         void subImage(Int level, const RangeTypeFor<dimensions+1, Int>& range, const BasicMutableImageView<dimensions+1>& image) {
             AbstractTexture::subImage<dimensions+1>(level, range, image);
@@ -687,8 +701,10 @@ template<UnsignedInt dimensions> class TextureArray: public AbstractTexture {
         /**
          * @brief Read a range of given compressed texture mip level to an image
          *
-         * See @ref Texture::compressedSubImage(Int, const RangeTypeFor<dimensions, Int>&, CompressedImage&)
-         * for more information.
+         * Behavior mostly equivalent to
+         * @ref Texture::compressedSubImage(Int, const RangeTypeFor<dimensions, Int>&, CompressedImage&), see its
+         * documentation for more information. In this case however,
+         * @ref ImageFlags of @p image get set to @ref ImageFlag3D::Array "ImageFlag*D::Array".
          * @requires_gl45 Extension @gl_extension{ARB,get_texture_sub_image}
          * @requires_gl42 Extension @gl_extension{ARB,compressed_texture_pixel_storage}
          *      for non-default @ref CompressedPixelStorage
@@ -701,7 +717,7 @@ template<UnsignedInt dimensions> class TextureArray: public AbstractTexture {
          *      for possible workarounds.
          */
         void compressedSubImage(Int level, const RangeTypeFor<dimensions+1, Int>& range, CompressedImage<dimensions+1>& image) {
-            AbstractTexture::compressedSubImage<dimensions+1>(level, range, image);
+            AbstractTexture::compressedSubImage<dimensions+1>(level, range, image, ImageFlag<dimensions+1>::Array);
         }
 
         /** @overload
@@ -719,7 +735,9 @@ template<UnsignedInt dimensions> class TextureArray: public AbstractTexture {
          * Compared to @ref compressedSubImage(Int, const RangeTypeFor<dimensions+1, Int>&, CompressedImage<dimensions+1>&)
          * the function reads the pixels into the memory provided by @p image,
          * expecting it's not @cpp nullptr @ce, its format is the same as
-         * texture format and its size is the same as @p range size.
+         * texture format and its size is the same as @p range size. Any set of
+         * @ref ImageFlags is allowed in @p image --- e.g., it's possible to
+         * read an array texture to an image not marked as an array.
          */
         void compressedSubImage(Int level, const RangeTypeFor<dimensions+1, Int>& range, const BasicMutableCompressedImageView<dimensions+1>& image) {
             AbstractTexture::compressedSubImage<dimensions+1>(level, range, image);
@@ -758,7 +776,10 @@ template<UnsignedInt dimensions> class TextureArray: public AbstractTexture {
          * @brief @copybrief Texture::setImage()
          * @return Reference to self (for method chaining)
          *
-         * See @ref Texture::setImage() for more information.
+         * Behavior equivalent to @ref Texture::setImage(), see its
+         * documentation for more information. Any set of @ref ImageFlags is
+         * allowed in @p image --- e.g., it's possible to upload an image not
+         * marked as an array to an array texture.
          * @see @ref maxSize()
          * @deprecated_gl Prefer to use @ref setStorage() and @ref setSubImage()
          *      instead.
@@ -789,7 +810,10 @@ template<UnsignedInt dimensions> class TextureArray: public AbstractTexture {
          * @brief @copybrief Texture::setCompressedImage()
          * @return Reference to self (for method chaining)
          *
-         * See @ref Texture::setCompressedImage() for more information.
+         * Behavior equivalent to @ref Texture::setCompressedImage(), see its
+         * documentation for more information. Any set of @ref ImageFlags is
+         * allowed in @p image --- e.g., it's possible to upload an image not
+         * marked as an array to an array texture.
          * @see @ref maxSize()
          * @requires_gl42 Extension @gl_extension{ARB,compressed_texture_pixel_storage}
          *      for non-default @ref CompressedPixelStorage
@@ -839,6 +863,10 @@ template<UnsignedInt dimensions> class TextureArray: public AbstractTexture {
          * If @gl_extension{ARB,direct_state_access} (part of OpenGL 4.5) is
          * not available, the texture is bound before the operation (if not
          * already).
+         *
+         * Any set of @ref ImageFlags is allowed in @p image --- e.g., it's
+         * possible to upload an image not marked as an array to an array
+         * texture.
          * @see @ref setStorage(), @fn_gl{PixelStore}, then
          *      @fn_gl2_keyword{TextureSubImage2D,TexSubImage2D}/
          *      @fn_gl2_keyword{TextureSubImage3D,TexSubImage3D},
@@ -872,6 +900,10 @@ template<UnsignedInt dimensions> class TextureArray: public AbstractTexture {
          * If @gl_extension{ARB,direct_state_access} (part of OpenGL 4.5) is
          * not available, the texture is bound before the operation (if not
          * already).
+         *
+         * Any set of @ref ImageFlags is allowed in @p image --- e.g., it's
+         * possible to upload an image not marked as an array to an array
+         * texture.
          * @see @ref setStorage(), @fn_gl{PixelStore}, then
          *      @fn_gl2_keyword{CompressedTextureSubImage2D,CompressedTexSubImage2D}/
          *      @fn_gl2_keyword{CompressedTextureSubImage3D,CompressedTexSubImage3D},