diff --git a/doc/changelog.dox b/doc/changelog.dox
index e3e87a559..dedff6a26 100644
--- a/doc/changelog.dox
+++ b/doc/changelog.dox
@@ -171,8 +171,10 @@ See also:
 -   The @ref Trade::AnimationData class received support for mutable data
     access with new constructors and the
     @ref Trade::AnimationData::mutableData() "mutableData()" and
-    @ref Trade::AnimationData::mutableTrack() "mutableTrack()" accessors. See
-    @ref Trade-AnimationData-usage-mutable for more information.
+    @ref Trade::AnimationData::mutableTrack() "mutableTrack()" accessors.
+    Equivalent APIs are exposed in both @ref Trade::ImageData and
+    @ref Trade::MeshData as well. See @ref Trade-AnimationData-usage-mutable
+    for more information.
 
 @subsubsection changelog-latest-new-vk Vk library
 
@@ -405,6 +407,10 @@ See also:
 -   The @ref Magnum/Math/FunctionsBatch.h header is no longer included from
     @ref Magnum/Math/Functions.h for backwards compatibility in order to speed
     up compile times.
+-   Non-const @ref Trade::ImageData::data() and @ref Trade::ImageData::pixels()
+    were renamed to @ref Trade::ImageData::mutableData() and
+    @ref Trade::ImageData::mutablePixels() to follow the new
+    @ref Trade::MeshData API and similar changes in @ref Trade::AnimationData.
 -   @ref Platform::GlfwApplication::setMinWindowSize() /
     @ref Platform::GlfwApplication::setMaxWindowSize() and equivalent APIs in
     @ref Platform::Sdl2Application now premultiply the value with
diff --git a/doc/snippets/MagnumTrade.cpp b/doc/snippets/MagnumTrade.cpp
index 922237381..e5cbce542 100644
--- a/doc/snippets/MagnumTrade.cpp
+++ b/doc/snippets/MagnumTrade.cpp
@@ -223,6 +223,20 @@ else
 }
 #endif
 
+{
+Trade::ImageData2D data{PixelFormat::RGB8Unorm, {}, nullptr};
+/* [ImageData-usage-mutable] */
+if(data.isCompressed() ||
+   data.format() != PixelFormat::RGB8Unorm ||
+   !(data.dataFlags() & Trade::DataFlag::Mutable))
+    Fatal{} << ":(";
+
+for(auto&& row: data.mutablePixels<Color3ub>())
+    for(Color3ub& pixel: row)
+        pixel = Math::gather<'b', 'g', 'r'>(pixel);
+/* [ImageData-usage-mutable] */
+}
+
 #ifdef MAGNUM_TARGET_GL
 {
 Trade::MeshData data{MeshPrimitive::Points, 0};
diff --git a/src/Magnum/Image.cpp b/src/Magnum/Image.cpp
index 30be47f01..fed0d70df 100644
--- a/src/Magnum/Image.cpp
+++ b/src/Magnum/Image.cpp
@@ -73,11 +73,11 @@ template<UnsignedInt dimensions> std::pair<VectorTypeFor<dimensions, std::size_t
 }
 
 template<UnsignedInt dimensions> Containers::StridedArrayView<dimensions + 1, char> Image<dimensions>::pixels() {
-    return Implementation::imagePixelView<dimensions, char>(*this);
+    return Implementation::imagePixelView<dimensions, char>(*this, data());
 }
 
 template<UnsignedInt dimensions> Containers::StridedArrayView<dimensions + 1, const char> Image<dimensions>::pixels() const {
-    return Implementation::imagePixelView<dimensions, const char>(*this);
+    return Implementation::imagePixelView<dimensions, const char>(*this, data());
 }
 
 template<UnsignedInt dimensions> Containers::Array<char> Image<dimensions>::release() {
diff --git a/src/Magnum/ImageView.cpp b/src/Magnum/ImageView.cpp
index 805bc7b28..98ba94993 100644
--- a/src/Magnum/ImageView.cpp
+++ b/src/Magnum/ImageView.cpp
@@ -63,7 +63,7 @@ template<UnsignedInt dimensions, class T> void ImageView<dimensions, T>::setData
 
 template<UnsignedInt dimensions, class T> auto ImageView<dimensions, T>::pixels() const -> Containers::StridedArrayView<dimensions + 1, Type> {
     if(!_data && !_data.size()) return {};
-    return Implementation::imagePixelView<dimensions, Type>(*this);
+    return Implementation::imagePixelView<dimensions, Type>(*this, data());
 }
 
 template<UnsignedInt dimensions, class T> CompressedImageView<dimensions, T>::CompressedImageView(const CompressedPixelStorage storage, const CompressedPixelFormat format, const VectorTypeFor<dimensions, Int>& size, const Containers::ArrayView<ErasedType> data) noexcept: _storage{storage}, _format{format}, _size{size}, _data{reinterpret_cast<Type*>(data.data()), data.size()} {}
diff --git a/src/Magnum/Implementation/ImageProperties.h b/src/Magnum/Implementation/ImageProperties.h
index 0786d6f85..dd495254c 100644
--- a/src/Magnum/Implementation/ImageProperties.h
+++ b/src/Magnum/Implementation/ImageProperties.h
@@ -45,7 +45,7 @@ template<std::size_t dimensions, class T> std::pair<Math::Vector<dimensions, std
     return std::make_pair(Math::Vector<dimensions, std::size_t>::pad(dataProperties.first), Math::Vector<dimensions, std::size_t>::pad(dataProperties.second));
 }
 
-template<UnsignedInt dimensions, class T, class Image> Containers::StridedArrayView<dimensions + 1, T> imagePixelView(Image& image) {
+template<UnsignedInt dimensions, class T, class Image, class Data> Containers::StridedArrayView<dimensions + 1, T> imagePixelView(Image& image, const Data data) {
     const std::pair<VectorTypeFor<dimensions, std::size_t>, VectorTypeFor<dimensions, std::size_t>> properties = image.dataProperties();
 
     /* Size in the last dimension is byte size of the pixel, the remaining
@@ -70,7 +70,7 @@ template<UnsignedInt dimensions, class T, class Image> Containers::StridedArrayV
 
     static_assert(sizeof(decltype(image.data().front())) == 1,
         "pointer arithmetic expects image data type to have 1 byte");
-    return {image.data().suffix(properties.first[dimensions - 1]), image.data() + properties.first.sum(), size, stride};
+    return {data.suffix(properties.first[dimensions - 1]), data + properties.first.sum(), size, stride};
 }
 
 }}
diff --git a/src/Magnum/Trade/Data.h b/src/Magnum/Trade/Data.h
index b3b04dcfd..59d98e922 100644
--- a/src/Magnum/Trade/Data.h
+++ b/src/Magnum/Trade/Data.h
@@ -42,7 +42,8 @@ namespace Magnum { namespace Trade {
 @m_since_latest
 
 @see @ref DataFlags, @ref AnimationData::dataFlags(),
-    @ref MeshData::indexDataFlags(), @ref MeshData::vertexDataFlags()
+    @ref ImageData::dataFlags(), @ref MeshData::indexDataFlags(),
+    @ref MeshData::vertexDataFlags()
 */
 enum class DataFlag: UnsignedByte {
     /**
@@ -71,8 +72,8 @@ MAGNUM_TRADE_EXPORT Debug& operator<<(Debug& debug, DataFlag value);
 @brief Data flags
 @m_since_latest
 
-@see @ref AnimationData::dataFlags(), @ref MeshData::indexDataFlags(),
-    @ref MeshData::vertexDataFlags()
+@see @ref AnimationData::dataFlags(), @ref ImageData::dataFlags(),
+    @ref MeshData::indexDataFlags(), @ref MeshData::vertexDataFlags()
 */
 typedef Containers::EnumSet<DataFlag> DataFlags;
 
diff --git a/src/Magnum/Trade/ImageData.cpp b/src/Magnum/Trade/ImageData.cpp
index b390fd357..8b2a2c43f 100644
--- a/src/Magnum/Trade/ImageData.cpp
+++ b/src/Magnum/Trade/ImageData.cpp
@@ -35,17 +35,59 @@ namespace Magnum { namespace Trade {
 
 template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(const PixelStorage storage, const PixelFormat format, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* const importerState) noexcept: ImageData{storage, format, {}, Magnum::pixelSize(format), size, std::move(data), importerState} {}
 
+template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(const PixelStorage storage, const PixelFormat format, const VectorTypeFor<dimensions, Int>& size, const DataFlags dataFlags, const Containers::ArrayView<const void> data, const void* const importerState) noexcept: ImageData{storage, format, size, Containers::Array<char>{const_cast<char*>(static_cast<const char*>(data.data())), data.size(), Implementation::nonOwnedArrayDeleter}, importerState} {
+    CORRADE_ASSERT(!(dataFlags & DataFlag::Owned),
+        "Trade::ImageData: can't construct a non-owned instance with" << dataFlags, );
+    _dataFlags = dataFlags;
+}
+
+template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(const PixelFormat format, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* const importerState) noexcept: ImageData{{}, format, size, std::move(data), importerState} {}
+
+template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(const PixelFormat format, const VectorTypeFor<dimensions, Int>& size, const DataFlags dataFlags, const Containers::ArrayView<const void> data, const void* const importerState) noexcept: ImageData{format, size, Containers::Array<char>{const_cast<char*>(static_cast<const char*>(data.data())), data.size(), Implementation::nonOwnedArrayDeleter}, importerState} {
+    CORRADE_ASSERT(!(dataFlags & DataFlag::Owned),
+        "Trade::ImageData: can't construct a non-owned instance with" << dataFlags, );
+    _dataFlags = dataFlags;
+}
+
 template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(const PixelStorage storage, const UnsignedInt format, const UnsignedInt formatExtra, const UnsignedInt pixelSize, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* const importerState) noexcept: ImageData{storage, pixelFormatWrap(format), formatExtra, pixelSize, size, std::move(data), importerState} {}
 
-template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(const PixelStorage storage, const PixelFormat format, const UnsignedInt formatExtra, const UnsignedInt pixelSize, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* const importerState) noexcept: _compressed{false}, _storage{storage}, _format{format}, _formatExtra{formatExtra}, _pixelSize{pixelSize}, _size{size}, _data{std::move(data)}, _importerState{importerState} {
+template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(const PixelStorage storage, const PixelFormat format, const UnsignedInt formatExtra, const UnsignedInt pixelSize, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* const importerState) noexcept: _dataFlags{DataFlag::Owned|DataFlag::Mutable}, _compressed{false}, _storage{storage}, _format{format}, _formatExtra{formatExtra}, _pixelSize{pixelSize}, _size{size}, _data{std::move(data)}, _importerState{importerState} {
     CORRADE_ASSERT(Magnum::Implementation::imageDataSize(*this) <= _data.size(), "Trade::ImageData: data too small, got" << _data.size() << "but expected at least" << Magnum::Implementation::imageDataSize(*this) << "bytes", );
 }
 
-template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(const CompressedPixelStorage storage, const CompressedPixelFormat format, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* const importerState) noexcept: _compressed{true}, _compressedStorage{storage}, _compressedFormat{format}, _size{size}, _data{std::move(data)}, _importerState{importerState} {}
+template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(const PixelStorage storage, const UnsignedInt format, const UnsignedInt formatExtra, const UnsignedInt pixelSize, const VectorTypeFor<dimensions, Int>& size, const DataFlags dataFlags, const Containers::ArrayView<const void> data, const void* const importerState) noexcept: ImageData{storage, pixelFormatWrap(format), formatExtra, pixelSize, size, dataFlags, data, importerState} {}
+
+template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(const PixelStorage storage, const PixelFormat format, const UnsignedInt formatExtra, const UnsignedInt pixelSize, const VectorTypeFor<dimensions, Int>& size, const DataFlags dataFlags, Containers::ArrayView<const void> data, const void* const importerState) noexcept: ImageData{storage, format, formatExtra, pixelSize, size, Containers::Array<char>{const_cast<char*>(static_cast<const char*>(data.data())), data.size(), Implementation::nonOwnedArrayDeleter}, importerState} {
+    CORRADE_ASSERT(!(dataFlags & DataFlag::Owned),
+        "Trade::ImageData: can't construct a non-owned instance with" << dataFlags, );
+    _dataFlags = dataFlags;
+}
+
+template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(const CompressedPixelStorage storage, const CompressedPixelFormat format, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* const importerState) noexcept: _dataFlags{DataFlag::Owned|DataFlag::Mutable}, _compressed{true}, _compressedStorage{storage}, _compressedFormat{format}, _size{size}, _data{std::move(data)}, _importerState{importerState} {}
+
+template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(const CompressedPixelStorage storage, const CompressedPixelFormat format, const VectorTypeFor<dimensions, Int>& size, const DataFlags dataFlags, const Containers::ArrayView<const void> data, const void* const importerState) noexcept: ImageData{storage, format, size, Containers::Array<char>{const_cast<char*>(static_cast<const char*>(data.data())), data.size(), Implementation::nonOwnedArrayDeleter}, importerState} {
+    CORRADE_ASSERT(!(dataFlags & DataFlag::Owned),
+        "Trade::ImageData: can't construct a non-owned instance with" << dataFlags, );
+    _dataFlags = dataFlags;
+}
+
+template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(const CompressedPixelFormat format, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* const importerState) noexcept: ImageData{{}, format, size, std::move(data), importerState} {}
+
+template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(const CompressedPixelFormat format, const VectorTypeFor<dimensions, Int>& size, const DataFlags dataFlags, const Containers::ArrayView<const void> data, const void* const importerState) noexcept: ImageData{format, size, Containers::Array<char>{const_cast<char*>(static_cast<const char*>(data.data())), data.size(), Implementation::nonOwnedArrayDeleter}, importerState} {
+    CORRADE_ASSERT(!(dataFlags & DataFlag::Owned),
+        "Trade::ImageData: can't construct a non-owned instance with" << dataFlags, );
+    _dataFlags = dataFlags;
+}
 
 template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(const CompressedPixelStorage storage, const UnsignedInt format, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* const importerState) noexcept: ImageData{storage, compressedPixelFormatWrap(format), size, std::move(data), importerState} {}
 
-template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(ImageData<dimensions>&& other) noexcept: _compressed{std::move(other._compressed)}, _size{std::move(other._size)}, _data{std::move(other._data)}, _importerState{std::move(other._importerState)} {
+template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(const CompressedPixelStorage storage, const UnsignedInt format, const VectorTypeFor<dimensions, Int>& size, const DataFlags dataFlags, const Containers::ArrayView<const void> data, const void* const importerState) noexcept: ImageData{storage, format, size, Containers::Array<char>{const_cast<char*>(static_cast<const char*>(data.data())), data.size(), Implementation::nonOwnedArrayDeleter}, importerState} {
+    CORRADE_ASSERT(!(dataFlags & DataFlag::Owned),
+        "Trade::ImageData: can't construct a non-owned instance with" << dataFlags, );
+    _dataFlags = dataFlags;
+}
+
+template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(ImageData<dimensions>&& other) noexcept: _dataFlags{other._dataFlags}, _compressed{std::move(other._compressed)}, _size{std::move(other._size)}, _data{std::move(other._data)}, _importerState{std::move(other._importerState)} {
     if(_compressed) {
         new(&_compressedStorage) CompressedPixelStorage{std::move(other._compressedStorage)};
         _compressedFormat = std::move(other._compressedFormat);
@@ -66,6 +108,7 @@ template<UnsignedInt dimensions> ImageData<dimensions>::ImageData(ImageData<dime
 
 template<UnsignedInt dimensions> ImageData<dimensions>& ImageData<dimensions>::operator=(ImageData<dimensions>&& other) noexcept {
     using std::swap;
+    swap(_dataFlags, other._dataFlags);
     swap(_compressed, other._compressed);
     if(_compressed) {
         swap(_compressedStorage, other._compressedStorage);
@@ -115,22 +158,25 @@ template<UnsignedInt dimensions> UnsignedInt ImageData<dimensions>::pixelSize()
 
 template<UnsignedInt dimensions> std::pair<VectorTypeFor<dimensions, std::size_t>, VectorTypeFor<dimensions, std::size_t>> ImageData<dimensions>::dataProperties() const {
     CORRADE_ASSERT(!_compressed, "Trade::ImageData::dataProperties(): the image is compressed", {});
-    return Implementation::imageDataProperties<dimensions>(*this);
+    return Magnum::Implementation::imageDataProperties<dimensions>(*this);
 }
 
-template<UnsignedInt dimensions> Containers::StridedArrayView<dimensions + 1, char> ImageData<dimensions>::pixels() {
-    CORRADE_ASSERT(!_compressed, "Trade::ImageData::pixels(): the image is compressed", {});
-    return Implementation::imagePixelView<dimensions, char>(*this);
+template<UnsignedInt dimensions> Containers::ArrayView<char> ImageData<dimensions>::mutableData() & {
+    CORRADE_ASSERT(_dataFlags & DataFlag::Mutable,
+        "Trade::ImageData::mutableData(): the image is not mutable", {});
+    return _data;
 }
 
 template<UnsignedInt dimensions> Containers::StridedArrayView<dimensions + 1, const char> ImageData<dimensions>::pixels() const {
     CORRADE_ASSERT(!_compressed, "Trade::ImageData::pixels(): the image is compressed", {});
-    return Implementation::imagePixelView<dimensions, const char>(*this);
+    return Magnum::Implementation::imagePixelView<dimensions, const char>(*this, data());
 }
 
-template<UnsignedInt dimensions> ImageData<dimensions>::operator BasicMutableImageView<dimensions>() {
-    CORRADE_ASSERT(!_compressed, "Trade::ImageData: the image is compressed", (BasicMutableImageView<dimensions>{_storage, _format, _formatExtra, _pixelSize, _size}));
-    return BasicMutableImageView<dimensions>{_storage, _format, _formatExtra, _pixelSize, _size, _data};
+template<UnsignedInt dimensions> Containers::StridedArrayView<dimensions + 1, char> ImageData<dimensions>::mutablePixels() {
+    CORRADE_ASSERT(_dataFlags & DataFlag::Mutable,
+        "Trade::ImageData::mutablePixels(): the image is not mutable", {});
+    CORRADE_ASSERT(!_compressed, "Trade::ImageData::mutablePixels(): the image is compressed", {});
+    return Magnum::Implementation::imagePixelView<dimensions, char>(*this, mutableData());
 }
 
 template<UnsignedInt dimensions> ImageData<dimensions>::operator BasicImageView<dimensions>() const {
@@ -138,11 +184,11 @@ template<UnsignedInt dimensions> ImageData<dimensions>::operator BasicImageView<
     return BasicImageView<dimensions>{_storage, _format, _formatExtra, _pixelSize, _size, _data};
 }
 
-template<UnsignedInt dimensions> ImageData<dimensions>::operator BasicMutableCompressedImageView<dimensions>() {
-    CORRADE_ASSERT(_compressed, "Trade::ImageData: the image is not compressed", (BasicMutableCompressedImageView<dimensions>{_compressedStorage, _compressedFormat, _size}));
-    return BasicMutableCompressedImageView<dimensions>{
-        _compressedStorage,
-        _compressedFormat, _size, _data};
+template<UnsignedInt dimensions> ImageData<dimensions>::operator BasicMutableImageView<dimensions>() {
+    CORRADE_ASSERT(_dataFlags & DataFlag::Mutable,
+        "Trade::ImageData: the image is not mutable", (BasicMutableImageView<dimensions>{_storage, _format, _formatExtra, _pixelSize, _size}));
+    CORRADE_ASSERT(!_compressed, "Trade::ImageData: the image is compressed", (BasicMutableImageView<dimensions>{_storage, _format, _formatExtra, _pixelSize, _size}));
+    return BasicMutableImageView<dimensions>{_storage, _format, _formatExtra, _pixelSize, _size, _data};
 }
 
 template<UnsignedInt dimensions> ImageData<dimensions>::operator BasicCompressedImageView<dimensions>() const {
@@ -152,6 +198,16 @@ template<UnsignedInt dimensions> ImageData<dimensions>::operator BasicCompressed
         _compressedFormat, _size, _data};
 }
 
+template<UnsignedInt dimensions> ImageData<dimensions>::operator BasicMutableCompressedImageView<dimensions>() {
+    CORRADE_ASSERT(_dataFlags & DataFlag::Mutable,
+        "Trade::ImageData: the image is not mutable",
+        (BasicMutableCompressedImageView<dimensions>{_compressedStorage, _compressedFormat, _size}));
+    CORRADE_ASSERT(_compressed, "Trade::ImageData: the image is not compressed", (BasicMutableCompressedImageView<dimensions>{_compressedStorage, _compressedFormat, _size}));
+    return BasicMutableCompressedImageView<dimensions>{
+        _compressedStorage,
+        _compressedFormat, _size, _data};
+}
+
 template<UnsignedInt dimensions> Containers::Array<char> ImageData<dimensions>::release() {
     Containers::Array<char> data{std::move(_data)};
     _size = {};
diff --git a/src/Magnum/Trade/ImageData.h b/src/Magnum/Trade/ImageData.h
index ea025c0bd..7caaf4c9e 100644
--- a/src/Magnum/Trade/ImageData.h
+++ b/src/Magnum/Trade/ImageData.h
@@ -33,6 +33,7 @@
 
 #include "Magnum/DimensionTraits.h"
 #include "Magnum/PixelStorage.h"
+#include "Magnum/Trade/Data.h"
 #include "Magnum/Trade/Trade.h"
 #include "Magnum/Trade/visibility.h"
 
@@ -87,6 +88,18 @@ compressed properties through @ref compressedStorage() and
 
 @snippet MagnumTrade.cpp ImageData-usage
 
+@section Trade-ImageData-usage-mutable Mutable data access
+
+The interfaces implicitly provide @cpp const @ce views on the contained
+pixel data through the @ref data() and @ref pixels() accessors. This is done
+because in general case the data can also refer to a memory-mapped file or
+constant memory. In cases when it's desirable to modify the data in-place,
+there's the @ref mutableData() and @ref mutablePixels() set of functions. To
+use these, you need to check that the data are mutable using @ref dataFlags()
+first. The following snippet flips the R and B channels of the imported image:
+
+@snippet MagnumTrade.cpp ImageData-usage-mutable
+
 @see @ref ImageData1D, @ref ImageData2D, @ref ImageData3D,
     @ref Image-pixel-views
 */
@@ -97,7 +110,7 @@ template<UnsignedInt dimensions> class ImageData {
         };
 
         /**
-         * @brief Construct uncompressed image data
+         * @brief Construct an uncompressed image data
          * @param storage           Storage of pixel data
          * @param format            Format of pixel data
          * @param size              Image size
@@ -106,11 +119,34 @@ template<UnsignedInt dimensions> class ImageData {
          *
          * The @p data array is expected to be of proper size for given
          * parameters.
+         *
+         * The @ref dataFlags() are implicitly set to a combination of
+         * @ref DataFlag::Owned and @ref DataFlag::Mutable. For non-owned data
+         * use the @ref ImageData(PixelStorage, PixelFormat, const VectorTypeFor<dimensions, Int>&, DataFlags, Containers::ArrayView<const void>, const void*)
+         * constructor instead.
          */
         explicit ImageData(PixelStorage storage, PixelFormat format, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* importerState = nullptr) noexcept;
 
         /**
-         * @brief Construct uncompressed image data
+         * @brief Construct a non-owned uncompressed image data
+         * @param storage           Storage of pixel data
+         * @param format            Format of pixel data
+         * @param size              Image size
+         * @param dataFlags         Data flags
+         * @param data              View on image data
+         * @param importerState     Importer-specific state
+         * @m_since_latest
+         *
+         * Compared to @ref ImageData(PixelStorage, PixelFormat, const VectorTypeFor<dimensions, Int>&, Containers::Array<char>&&, const void*)
+         * creates an instance that doesn't own the passed data. The
+         * @p dataFlags parameter can contain @ref DataFlag::Mutable to
+         * indicate the external data can be modified, and is expected to *not*
+         * have @ref DataFlag::Owned set.
+         */
+        explicit ImageData(PixelStorage storage, PixelFormat format, const VectorTypeFor<dimensions, Int>& size, DataFlags dataFlags, Containers::ArrayView<const void> data, const void* importerState = nullptr) noexcept;
+
+        /**
+         * @brief Construct an uncompressed image data
          * @param format            Format of pixel data
          * @param size              Image size
          * @param data              Image data
@@ -119,10 +155,27 @@ template<UnsignedInt dimensions> class ImageData {
          * Equivalent to calling @ref ImageData(PixelStorage, PixelFormat, const VectorTypeFor<dimensions, Int>&, Containers::Array<char>&&, const void*)
          * with default-constructed @ref PixelStorage.
          */
-        explicit ImageData(PixelFormat format, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* importerState = nullptr) noexcept: ImageData{{}, format, size, std::move(data), importerState} {}
+        explicit ImageData(PixelFormat format, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* importerState = nullptr) noexcept;
+
+        /**
+         * @brief Construct a non-owned uncompressed image data
+         * @param format            Format of pixel data
+         * @param size              Image size
+         * @param dataFlags         Data flags
+         * @param data              View on image data
+         * @param importerState     Importer-specific state
+         * @m_since_latest
+         *
+         * Compared to @ref ImageData(PixelFormat, const VectorTypeFor<dimensions, Int>&, Containers::Array<char>&&, const void*)
+         * creates an instance that doesn't own the passed data. The
+         * @p dataFlags parameter can contain @ref DataFlag::Mutable to
+         * indicate the external data can be modified, and is expected to *not*
+         * have @ref DataFlag::Owned set.
+         */
+        explicit ImageData(PixelFormat format, const VectorTypeFor<dimensions, Int>& size, DataFlags dataFlags, Containers::ArrayView<const void> data, const void* importerState = nullptr) noexcept;
 
         /**
-         * @brief Construct uncompressed image data with implementation-specific pixel format
+         * @brief Construct an uncompressed image data with implementation-specific pixel format
          * @param storage           Storage of pixel data
          * @param format            Format of pixel data
          * @param formatExtra       Additional pixel format specifier
@@ -139,7 +192,10 @@ template<UnsignedInt dimensions> class ImageData {
          * @ref Magnum::PixelFormat "PixelFormat".
          *
          * The @p data array is expected to be of proper size for given
-         * parameters.
+         * parameters. The @ref dataFlags() are implicitly set to a combination
+         * of @ref DataFlag::Owned and @ref DataFlag::Mutable. For non-owned
+         * data use the @ref ImageData(PixelStorage, UnsignedInt, UnsignedInt, UnsignedInt, const VectorTypeFor<dimensions, Int>&, DataFlags, Containers::ArrayView<const void>, const void*)
+         * constructor instead.
          */
         explicit ImageData(PixelStorage storage, UnsignedInt format, UnsignedInt formatExtra, UnsignedInt pixelSize, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* importerState = nullptr) noexcept;
 
@@ -151,7 +207,35 @@ template<UnsignedInt dimensions> class ImageData {
         explicit ImageData(PixelStorage storage, PixelFormat format, UnsignedInt formatExtra, UnsignedInt pixelSize, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* importerState = nullptr) noexcept;
 
         /**
-         * @brief Construct uncompressed image data with implementation-specific pixel format
+         * @brief Construct a non-owned uncompressed image data with implementation-specific pixel format
+         * @param storage           Storage of pixel data
+         * @param format            Format of pixel data
+         * @param formatExtra       Additional pixel format specifier
+         * @param pixelSize         Size of a pixel in given format
+         * @param size              Image size
+         * @param dataFlags         Data flags
+         * @param data              View on image data
+         * @param importerState     Importer-specific state
+         * @m_since_latest
+         *
+         * Compared to @ref ImageData(PixelStorage, UnsignedInt, UnsignedInt, UnsignedInt, const VectorTypeFor<dimensions, Int>&, Containers::Array<char>&&, const void*)
+         * creates an instance that doesn't own the passed data. The
+         * @p dataFlags parameter can contain @ref DataFlag::Mutable to
+         * indicate the external data can be modified, and is expected to *not*
+         * have @ref DataFlag::Owned set.
+         */
+        explicit ImageData(PixelStorage storage, UnsignedInt format, UnsignedInt formatExtra, UnsignedInt pixelSize, const VectorTypeFor<dimensions, Int>& size, DataFlags dataFlags, Containers::ArrayView<const void> data, const void* importerState = nullptr) noexcept;
+
+        /** @overload
+         * @m_since_latest
+         *
+         * Equivalent to the above for @p format already wrapped with
+         * @ref pixelFormatWrap().
+         */
+        explicit ImageData(PixelStorage storage, PixelFormat format, UnsignedInt formatExtra, UnsignedInt pixelSize, const VectorTypeFor<dimensions, Int>& size, DataFlags dataFlags, Containers::ArrayView<const void> data, const void* importerState = nullptr) noexcept;
+
+        /**
+         * @brief Construct an uncompressed image data with implementation-specific pixel format
          * @param storage           Storage of pixel data
          * @param format            Format of pixel data
          * @param formatExtra       Additional pixel format specifier
@@ -166,7 +250,26 @@ template<UnsignedInt dimensions> class ImageData {
         template<class T, class U> explicit ImageData(PixelStorage storage, T format, U formatExtra, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* importerState = nullptr) noexcept;
 
         /**
-         * @brief Construct uncompressed image data with implementation-specific pixel format
+         * @brief Construct a non-owned uncompressed image data with implementation-specific pixel format
+         * @param storage           Storage of pixel data
+         * @param format            Format of pixel data
+         * @param formatExtra       Additional pixel format specifier
+         * @param size              Image size
+         * @param dataFlags         Data flags
+         * @param data              View on image data
+         * @param importerState     Importer-specific state
+         * @m_since_latest
+         *
+         * Compared to @ref ImageData(PixelStorage, T, U, const VectorTypeFor<dimensions, Int>&, Containers::Array<char>&&, const void*)
+         * creates an instance that doesn't own the passed data. The
+         * @p dataFlags parameter can contain @ref DataFlag::Mutable to
+         * indicate the external data can be modified, and is expected to *not*
+         * have @ref DataFlag::Owned set.
+         */
+        template<class T, class U> explicit ImageData(PixelStorage storage, T format, U formatExtra, const VectorTypeFor<dimensions, Int>& size, DataFlags dataFlags, Containers::ArrayView<const void> data, const void* importerState = nullptr) noexcept;
+
+        /**
+         * @brief Construct an uncompressed image data with implementation-specific pixel format
          * @param storage           Storage of pixel data
          * @param format            Format of pixel data
          * @param size              Image size
@@ -180,7 +283,25 @@ template<UnsignedInt dimensions> class ImageData {
         template<class T> explicit ImageData(PixelStorage storage, T format, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* importerState = nullptr) noexcept;
 
         /**
-         * @brief Construct compressed image data
+         * @brief Construct a non-owned uncompressed image data with implementation-specific pixel format
+         * @param storage           Storage of pixel data
+         * @param format            Format of pixel data
+         * @param size              Image size
+         * @param dataFlags         Data flags
+         * @param data              view on image data
+         * @param importerState     Importer-specific state
+         * @m_since_latest
+         *
+         * Compared to @ref ImageData(PixelStorage, T, const VectorTypeFor<dimensions, Int>&, Containers::Array<char>&&, const void*)
+         * creates an instance that doesn't own the passed data. The
+         * @p dataFlags parameter can contain @ref DataFlag::Mutable to
+         * indicate the external data can be modified, and is expected to *not*
+         * have @ref DataFlag::Owned set.
+         */
+        template<class T> explicit ImageData(PixelStorage storage, T format, const VectorTypeFor<dimensions, Int>& size, DataFlags dataFlags, Containers::ArrayView<const void> data, const void* importerState = nullptr) noexcept;
+
+        /**
+         * @brief Construct a compressed image data
          * @param storage           Storage of compressed pixel data
          * @param format            Format of compressed pixel data
          * @param size              Image size
@@ -190,7 +311,25 @@ template<UnsignedInt dimensions> class ImageData {
         explicit ImageData(CompressedPixelStorage storage, CompressedPixelFormat format, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* importerState = nullptr) noexcept;
 
         /**
-         * @brief Construct compressed image data
+         * @brief Construct a non-owned compressed image data
+         * @param storage           Storage of compressed pixel data
+         * @param format            Format of compressed pixel data
+         * @param size              Image size
+         * @param dataFlags         Data flags
+         * @param data              View on image data
+         * @param importerState     Importer-specific state
+         * @m_since_latest
+         *
+         * Compared to @ref ImageData(CompressedPixelStorage, CompressedPixelFormat, const VectorTypeFor<dimensions, Int>&, Containers::Array<char>&&, const void*)
+         * creates an instance that doesn't own the passed data. The
+         * @p dataFlags parameter can contain @ref DataFlag::Mutable to
+         * indicate the external data can be modified, and is expected to *not*
+         * have @ref DataFlag::Owned set.
+         */
+        explicit ImageData(CompressedPixelStorage storage, CompressedPixelFormat format, const VectorTypeFor<dimensions, Int>& size, DataFlags dataFlags, Containers::ArrayView<const void> data, const void* importerState = nullptr) noexcept;
+
+        /**
+         * @brief Construct a compressed image data
          * @param format            Format of compressed pixel data
          * @param size              Image size
          * @param data              Image data
@@ -199,10 +338,27 @@ template<UnsignedInt dimensions> class ImageData {
          * Equivalent to calling @ref ImageData(CompressedPixelStorage, CompressedPixelFormat, const VectorTypeFor<dimensions, Int>&, Containers::Array<char>&&, const void*)
          * with default-constructed @ref CompressedPixelStorage.
          */
-        explicit ImageData(CompressedPixelFormat format, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* importerState = nullptr) noexcept: ImageData{{}, format, size, std::move(data), importerState} {}
+        explicit ImageData(CompressedPixelFormat format, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* importerState = nullptr) noexcept;
+
+        /**
+         * @brief Construct a non-owned compressed image data
+         * @param format            Format of compressed pixel data
+         * @param size              Image size
+         * @param dataFlags         Data flags
+         * @param data              View on image data
+         * @param importerState     Importer-specific state
+         * @m_since_latest
+         *
+         * Compared to @ref ImageData(CompressedPixelFormat, const VectorTypeFor<dimensions, Int>&, Containers::Array<char>&&, const void*)
+         * creates an instance that doesn't own the passed data. The
+         * @p dataFlags parameter can contain @ref DataFlag::Mutable to
+         * indicate the external data can be modified, and is expected to *not*
+         * have @ref DataFlag::Owned set.
+         */
+        explicit ImageData(CompressedPixelFormat format, const VectorTypeFor<dimensions, Int>& size, DataFlags dataFlags, Containers::ArrayView<const void> data, const void* importerState = nullptr) noexcept;
 
         /**
-         * @brief Construct compressed image data
+         * @brief Construct a compressed image data
          * @param storage           Storage of compressed pixel data
          * @param format            Format of compressed pixel data
          * @param size              Image size
@@ -214,6 +370,24 @@ template<UnsignedInt dimensions> class ImageData {
          */
         template<class T> explicit ImageData(CompressedPixelStorage storage, T format, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* importerState = nullptr) noexcept;
 
+        /**
+         * @brief Construct a non-owned compressed image data
+         * @param storage           Storage of compressed pixel data
+         * @param format            Format of compressed pixel data
+         * @param size              Image size
+         * @param dataFlags         Data flags
+         * @param data              View on image data
+         * @param importerState     Importer-specific state
+         * @m_since_latest
+         *
+         * Compared to @ref ImageData(CompressedPixelStorage, T, const VectorTypeFor<dimensions, Int>&, Containers::Array<char>&&, const void*)
+         * creates an instance that doesn't own the passed data. The
+         * @p dataFlags parameter can contain @ref DataFlag::Mutable to
+         * indicate the external data can be modified, and is expected to *not*
+         * have @ref DataFlag::Owned set.
+         */
+        template<class T> explicit ImageData(CompressedPixelStorage storage, T format, const VectorTypeFor<dimensions, Int>& size, DataFlags dataFlags, Containers::ArrayView<const void> data, const void* importerState = nullptr) noexcept;
+
         /**
          * @brief Construct from existing data with attached importer state
          *
@@ -237,6 +411,12 @@ template<UnsignedInt dimensions> class ImageData {
         /** @brief Move assignment */
         ImageData<dimensions>& operator=(ImageData<dimensions>&& other) noexcept;
 
+        /**
+         * @brief Data flags
+         * @m_since_latest
+         */
+        DataFlags dataFlags() const { return _dataFlags; }
+
         /** @brief Whether the image is compressed */
         bool isCompressed() const { return _compressed; }
 
@@ -253,6 +433,9 @@ template<UnsignedInt dimensions> class ImageData {
         /**
          * @brief Conversion to a mutable view
          * @m_since{2019,10}
+         *
+         * The image is expected to be uncompressed and mutable.
+         * @see @ref isCompressed(), @ref dataFlags()
          */
         /*implicit*/ operator BasicMutableImageView<dimensions>();
 
@@ -269,6 +452,9 @@ template<UnsignedInt dimensions> class ImageData {
         /**
          * @brief Conversion to a mutable compressed view
          * @m_since{2019,10}
+         *
+         * The image is expected to be compressed and mutable.
+         * @see @ref isCompressed(), @ref dataFlags()
          */
         /*implicit*/ operator BasicMutableCompressedImageView<dimensions>();
 
@@ -358,9 +544,6 @@ template<UnsignedInt dimensions> class ImageData {
          *
          * @see @ref release(), @ref pixels()
          */
-        Containers::ArrayView<char> data() & { return _data; }
-
-        /** @overload */
         Containers::ArrayView<const char> data() const & { return _data; }
 
         /**
@@ -369,7 +552,9 @@ template<UnsignedInt dimensions> class ImageData {
          *
          * Unlike @ref data(), which returns a view, this is equivalent to
          * @ref release() to avoid a dangling view when the temporary instance
-         * goes out of scope.
+         * goes out of scope. Note that the returned array has a custom no-op
+         * deleter when the data are not owned by the image, and while the
+         * returned array type is mutable, the actual memory might be not.
          * @todoc stupid doxygen can't link to & overloads ffs
          */
         Containers::Array<char> data() && { return release(); }
@@ -380,6 +565,16 @@ template<UnsignedInt dimensions> class ImageData {
          */
         Containers::Array<char> data() const && = delete;
 
+        /**
+         * @brief Mutable image data
+         * @m_since_latest
+         *
+         * Like @ref data(), but returns a non-const view. Expects that the
+         * image is mutable.
+         * @see @ref dataFlags()
+         */
+        Containers::ArrayView<char> mutableData() &;
+
         #ifdef MAGNUM_BUILD_DEPRECATED
         /**
          * @brief Image data in a particular type
@@ -414,8 +609,17 @@ template<UnsignedInt dimensions> class ImageData {
          * @see @ref isCompressed(),
          *      @ref Corrade::Containers::StridedArrayView::isContiguous()
          */
-        Containers::StridedArrayView<dimensions + 1, char> pixels();
-        Containers::StridedArrayView<dimensions + 1, const char> pixels() const; /**< @overload */
+        Containers::StridedArrayView<dimensions + 1, const char> pixels() const;
+
+        /**
+         * @brief Mutable view on pixel data
+         * @m_since_latest
+         *
+         * Like @ref pixels() const, but returns a non-const view. Expects that
+         * the image is mutable.
+         * @see @ref dataFlags()
+         */
+        Containers::StridedArrayView<dimensions + 1, char> mutablePixels();
 
         /**
          * @brief View on pixel data with a concrete pixel type
@@ -426,26 +630,35 @@ template<UnsignedInt dimensions> class ImageData {
          * correct type for given @ref format() --- checking it on the library
          * side is not possible for the general case.
          */
-        template<class T> Containers::StridedArrayView<dimensions, T> pixels() {
+        template<class T> Containers::StridedArrayView<dimensions, const T> pixels() const {
             /* Deliberately not adding a StridedArrayView include, it should
                work without since this is a templated function and we declare
                arrayCast() above to satisfy two-phase lookup. */
-            return Containers::arrayCast<dimensions, T>(pixels());
+            return Containers::arrayCast<dimensions, const T>(pixels());
         }
 
         /**
-         * @overload
+         * @brief Mutable view on pixel data with a concrete pixel type
          * @m_since{2019,10}
+         *
+         * Like @ref pixels() const, but returns a non-const view. Expects that
+         * the image is mutable.
+         * @see @ref dataFlags()
          */
-        template<class T> Containers::StridedArrayView<dimensions, const T> pixels() const {
-            return Containers::arrayCast<dimensions, const T>(pixels());
+        template<class T> Containers::StridedArrayView<dimensions, T> mutablePixels() {
+            /* Deliberately not adding a StridedArrayView include, it should
+               work without since this is a templated function */
+            return Containers::arrayCast<dimensions, T>(mutablePixels());
         }
 
         /**
          * @brief Release data storage
          *
          * Releases the ownership of the data array and resets internal state
-         * to default.
+         * to default. The image then behaves like it's empty. Note that
+         * the returned array has a custom no-op deleter when the data are not
+         * owned by the image, and while the returned array type is mutable,
+         * the actual memory might be not.
          * @see @ref data()
          */
         Containers::Array<char> release();
@@ -465,6 +678,9 @@ template<UnsignedInt dimensions> class ImageData {
 
         explicit ImageData(CompressedPixelStorage storage, UnsignedInt format, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* importerState = nullptr) noexcept;
 
+        explicit ImageData(CompressedPixelStorage storage, UnsignedInt format, const VectorTypeFor<dimensions, Int>& size, DataFlags dataFlags, Containers::ArrayView<const void> data, const void* importerState = nullptr) noexcept;
+
+        DataFlags _dataFlags;
         bool _compressed;
         union {
             PixelStorage _storage;
@@ -495,16 +711,31 @@ template<UnsignedInt dimensions> template<class T, class U> ImageData<dimensions
         "format types larger than 32bits are not supported");
 }
 
+template<UnsignedInt dimensions> template<class T, class U> ImageData<dimensions>::ImageData(const PixelStorage storage, const T format, const U formatExtra, const VectorTypeFor<dimensions, Int>& size, const DataFlags dataFlags, const Containers::ArrayView<const void> data, const void* const importerState) noexcept: ImageData{storage, UnsignedInt(format), UnsignedInt(formatExtra), Magnum::Implementation::pixelSizeAdl(format, formatExtra), size, dataFlags, data, importerState} {
+    static_assert(sizeof(T) <= 4 && sizeof(U) <= 4,
+        "format types larger than 32bits are not supported");
+}
+
 template<UnsignedInt dimensions> template<class T> ImageData<dimensions>::ImageData(const PixelStorage storage, const T format, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* const importerState) noexcept: ImageData{storage, UnsignedInt(format), {}, Magnum::Implementation::pixelSizeAdl(format), size, std::move(data), importerState} {
     static_assert(sizeof(T) <= 4,
         "format types larger than 32bits are not supported");
 }
 
+template<UnsignedInt dimensions> template<class T> ImageData<dimensions>::ImageData(const PixelStorage storage, const T format, const VectorTypeFor<dimensions, Int>& size, const DataFlags dataFlags, const Containers::ArrayView<const void> data, const void* const importerState) noexcept: ImageData{storage, UnsignedInt(format), {}, Magnum::Implementation::pixelSizeAdl(format), size, dataFlags, data, importerState} {
+    static_assert(sizeof(T) <= 4,
+        "format types larger than 32bits are not supported");
+}
+
 template<UnsignedInt dimensions> template<class T> ImageData<dimensions>::ImageData(const CompressedPixelStorage storage, const T format, const VectorTypeFor<dimensions, Int>& size, Containers::Array<char>&& data, const void* const importerState) noexcept: ImageData{storage, UnsignedInt(format), size, std::move(data), importerState} {
     static_assert(sizeof(T) <= 4,
         "format types larger than 32bits are not supported");
 }
 
+template<UnsignedInt dimensions> template<class T> ImageData<dimensions>::ImageData(const CompressedPixelStorage storage, const T format, const VectorTypeFor<dimensions, Int>& size, const DataFlags dataFlags, const Containers::ArrayView<const void> data, const void* const importerState) noexcept: ImageData{storage, UnsignedInt(format), size, dataFlags, data, importerState} {
+    static_assert(sizeof(T) <= 4,
+        "format types larger than 32bits are not supported");
+}
+
 }}
 
 #endif
diff --git a/src/Magnum/Trade/Test/ImageDataTest.cpp b/src/Magnum/Trade/Test/ImageDataTest.cpp
index d68a895bc..bfe820723 100644
--- a/src/Magnum/Trade/Test/ImageDataTest.cpp
+++ b/src/Magnum/Trade/Test/ImageDataTest.cpp
@@ -47,6 +47,15 @@ struct ImageDataTest: TestSuite::Tester {
     void constructCompressedGeneric();
     void constructCompressedImplementationSpecific();
 
+    void constructGenericNotOwned();
+    void constructImplementationSpecificNotOwned();
+    void constructCompressedGenericNotOwned();
+    void constructCompressedImplementationSpecificNotOwned();
+    void constructGenericNotOwnedFlagOwned();
+    void constructImplementationSpecificNotOwnedFlagOwned();
+    void constructCompressedGenericNotOwnedFlagOwned();
+    void constructCompressedImplementationSpecificNotOwnedFlagOwned();
+
     void constructInvalidSize();
     void constructCompressedInvalidSize();
 
@@ -67,6 +76,7 @@ struct ImageDataTest: TestSuite::Tester {
 
     void data();
     void dataRvalue();
+    void mutableAccessNotAllowed();
 
     void dataProperties();
 
@@ -91,11 +101,30 @@ template<> struct MutabilityTraits<char> {
     static const char* name() { return "MutableImageView"; }
 };
 
+struct {
+    const char* name;
+    DataFlags dataFlags;
+} NotOwnedData[] {
+    {"", {}},
+    {"mutable", DataFlag::Mutable},
+};
+
 ImageDataTest::ImageDataTest() {
     addTests({&ImageDataTest::constructGeneric,
               &ImageDataTest::constructImplementationSpecific,
               &ImageDataTest::constructCompressedGeneric,
-              &ImageDataTest::constructCompressedImplementationSpecific,
+              &ImageDataTest::constructCompressedImplementationSpecific});
+
+    addInstancedTests({&ImageDataTest::constructGenericNotOwned,
+                       &ImageDataTest::constructImplementationSpecificNotOwned,
+                       &ImageDataTest::constructCompressedGenericNotOwned,
+                       &ImageDataTest::constructCompressedImplementationSpecificNotOwned},
+        Containers::arraySize(NotOwnedData));
+
+    addTests({&ImageDataTest::constructGenericNotOwnedFlagOwned,
+              &ImageDataTest::constructImplementationSpecificNotOwnedFlagOwned,
+              &ImageDataTest::constructCompressedGenericNotOwnedFlagOwned,
+              &ImageDataTest::constructCompressedImplementationSpecificNotOwnedFlagOwned,
 
               &ImageDataTest::constructInvalidSize,
               &ImageDataTest::constructCompressedInvalidSize,
@@ -121,6 +150,7 @@ ImageDataTest::ImageDataTest() {
 
               &ImageDataTest::data,
               &ImageDataTest::dataRvalue,
+              &ImageDataTest::mutableAccessNotAllowed,
 
               &ImageDataTest::dataProperties,
 
@@ -167,14 +197,19 @@ void ImageDataTest::constructGeneric() {
         int state;
         ImageData2D a{PixelFormat::RGBA8Unorm, {1, 3}, Containers::Array<char>{data, 4*4}, &state};
 
+        CORRADE_COMPARE(a.dataFlags(), DataFlag::Owned|DataFlag::Mutable);
         CORRADE_VERIFY(!a.isCompressed());
         CORRADE_COMPARE(a.storage().alignment(), 4);
         CORRADE_COMPARE(a.format(), PixelFormat::RGBA8Unorm);
         CORRADE_COMPARE(a.formatExtra(), 0);
         CORRADE_COMPARE(a.pixelSize(), 4);
         CORRADE_COMPARE(a.size(), (Vector2i{1, 3}));
-        CORRADE_COMPARE(a.data(), data);
+        CORRADE_COMPARE(static_cast<const void*>(a.data().data()), data);
         CORRADE_COMPARE(a.data().size(), 4*4);
+        CORRADE_COMPARE(static_cast<const void*>(&a.pixels<Color4ub>()[0][0]), data);
+        CORRADE_COMPARE(static_cast<const void*>(a.mutableData().data()), data);
+        CORRADE_COMPARE(a.mutableData().size(), 4*4);
+        CORRADE_COMPARE(static_cast<const void*>(&a.mutablePixels<Color4ub>()[0][0]), data);
         CORRADE_COMPARE(a.importerState(), &state);
     } {
         auto data = new char[3*2];
@@ -182,14 +217,19 @@ void ImageDataTest::constructGeneric() {
         ImageData2D a{PixelStorage{}.setAlignment(1),
             PixelFormat::R16UI, {1, 3}, Containers::Array<char>{data, 3*2}, &state};
 
+        CORRADE_COMPARE(a.dataFlags(), DataFlag::Owned|DataFlag::Mutable);
         CORRADE_VERIFY(!a.isCompressed());
         CORRADE_COMPARE(a.storage().alignment(), 1);
         CORRADE_COMPARE(a.format(), PixelFormat::R16UI);
         CORRADE_COMPARE(a.formatExtra(), 0);
         CORRADE_COMPARE(a.pixelSize(), 2);
         CORRADE_COMPARE(a.size(), (Vector2i{1, 3}));
-        CORRADE_COMPARE(a.data(), data);
+        CORRADE_COMPARE(static_cast<const void*>(a.data().data()), data);
         CORRADE_COMPARE(a.data().size(), 3*2);
+        CORRADE_COMPARE(static_cast<const void*>(&a.pixels<UnsignedShort>()[0][0]), data);
+        CORRADE_COMPARE(static_cast<const void*>(a.mutableData().data()), data);
+        CORRADE_COMPARE(a.mutableData().size(), 3*2);
+        CORRADE_COMPARE(static_cast<const void*>(&a.mutablePixels<UnsignedShort>()[0][0]), data);
         CORRADE_COMPARE(a.importerState(), &state);
     }
 }
@@ -202,14 +242,19 @@ void ImageDataTest::constructImplementationSpecific() {
         ImageData2D a{PixelStorage{}.setAlignment(1),
             Vk::PixelFormat::R32G32B32F, {1, 3}, Containers::Array<char>{data, 3*12}, &state};
 
+        CORRADE_COMPARE(a.dataFlags(), DataFlag::Owned|DataFlag::Mutable);
         CORRADE_VERIFY(!a.isCompressed());
         CORRADE_COMPARE(a.storage().alignment(), 1);
         CORRADE_COMPARE(a.format(), pixelFormatWrap(Vk::PixelFormat::R32G32B32F));
         CORRADE_COMPARE(a.formatExtra(), 0);
         CORRADE_COMPARE(a.pixelSize(), 12);
         CORRADE_COMPARE(a.size(), (Vector2i{1, 3}));
-        CORRADE_COMPARE(a.data(), data);
+        CORRADE_COMPARE(static_cast<const void*>(a.data().data()), data);
         CORRADE_COMPARE(a.data().size(), 3*12);
+        CORRADE_COMPARE(static_cast<const void*>(&a.pixels<Color3>()[0][0]), data);
+        CORRADE_COMPARE(static_cast<const void*>(a.mutableData().data()), data);
+        CORRADE_COMPARE(a.mutableData().size(), 3*12);
+        CORRADE_COMPARE(static_cast<const void*>(&a.mutablePixels<Color3>()[0][0]), data);
         CORRADE_COMPARE(a.importerState(), &state);
     }
 
@@ -220,13 +265,18 @@ void ImageDataTest::constructImplementationSpecific() {
         ImageData2D a{PixelStorage{}.setAlignment(1),
             GL::PixelFormat::RGB, GL::PixelType::UnsignedShort, {1, 3}, Containers::Array<char>{data, 3*6}, &state};
 
+        CORRADE_COMPARE(a.dataFlags(), DataFlag::Owned|DataFlag::Mutable);
         CORRADE_VERIFY(!a.isCompressed());
         CORRADE_COMPARE(a.format(), pixelFormatWrap(GL::PixelFormat::RGB));
         CORRADE_COMPARE(a.formatExtra(), UnsignedInt(GL::PixelType::UnsignedShort));
         CORRADE_COMPARE(a.pixelSize(), 6);
         CORRADE_COMPARE(a.size(), (Vector2i{1, 3}));
-        CORRADE_COMPARE(a.data(), data);
+        CORRADE_COMPARE(static_cast<const void*>(a.data().data()), data);
         CORRADE_COMPARE(a.data().size(), 3*6);
+        CORRADE_COMPARE(static_cast<const void*>(&a.pixels<Math::Vector3<UnsignedShort>>()[0][0]), data);
+        CORRADE_COMPARE(static_cast<const void*>(a.mutableData().data()), data);
+        CORRADE_COMPARE(a.mutableData().size(), 3*6);
+        CORRADE_COMPARE(static_cast<const void*>(&a.mutablePixels<Math::Vector3<UnsignedShort>>()[0][0]), data);
         CORRADE_COMPARE(a.importerState(), &state);
     }
 
@@ -236,14 +286,19 @@ void ImageDataTest::constructImplementationSpecific() {
         int state;
         ImageData2D a{PixelStorage{}.setAlignment(1), 666, 1337, 6, {1, 3}, Containers::Array<char>{data, 3*6}, &state};
 
+        CORRADE_COMPARE(a.dataFlags(), DataFlag::Owned|DataFlag::Mutable);
         CORRADE_VERIFY(!a.isCompressed());
         CORRADE_COMPARE(a.storage().alignment(), 1);
         CORRADE_COMPARE(a.format(), pixelFormatWrap(GL::PixelFormat::RGB));
         CORRADE_COMPARE(a.formatExtra(), UnsignedInt(GL::PixelType::UnsignedShort));
         CORRADE_COMPARE(a.pixelSize(), 6);
         CORRADE_COMPARE(a.size(), (Vector2i{1, 3}));
-        CORRADE_COMPARE(a.data(), data);
+        CORRADE_COMPARE(static_cast<const void*>(a.data().data()), data);
         CORRADE_COMPARE(a.data().size(), 3*6);
+        CORRADE_COMPARE(static_cast<const void*>(&a.pixels<Math::Vector3<UnsignedShort>>()[0][0]), data);
+        CORRADE_COMPARE(static_cast<const void*>(a.mutableData().data()), data);
+        CORRADE_COMPARE(a.mutableData().size(), 3*6);
+        CORRADE_COMPARE(static_cast<const void*>(&a.mutablePixels<Math::Vector3<UnsignedShort>>()[0][0]), data);
         CORRADE_COMPARE(a.importerState(), &state);
     }
 }
@@ -255,12 +310,15 @@ void ImageDataTest::constructCompressedGeneric() {
         ImageData2D a{CompressedPixelFormat::Bc1RGBAUnorm, {4, 4},
             Containers::Array<char>{data, 8}, &state};
 
+        CORRADE_COMPARE(a.dataFlags(), DataFlag::Owned|DataFlag::Mutable);
         CORRADE_VERIFY(a.isCompressed());
         CORRADE_COMPARE(a.compressedStorage().compressedBlockSize(), Vector3i{0});
         CORRADE_COMPARE(a.compressedFormat(), CompressedPixelFormat::Bc1RGBAUnorm);
         CORRADE_COMPARE(a.size(), (Vector2i{4, 4}));
-        CORRADE_COMPARE(a.data(), data);
+        CORRADE_COMPARE(static_cast<const void*>(a.data().data()), data);
         CORRADE_COMPARE(a.data().size(), 8);
+        CORRADE_COMPARE(static_cast<const void*>(a.mutableData().data()), data);
+        CORRADE_COMPARE(a.mutableData().size(), 8);
         CORRADE_COMPARE(a.importerState(), &state);
     } {
         auto data = new char[8];
@@ -269,12 +327,15 @@ void ImageDataTest::constructCompressedGeneric() {
             CompressedPixelFormat::Bc1RGBAUnorm, {4, 4},
             Containers::Array<char>{data, 8}, &state};
 
+        CORRADE_COMPARE(a.dataFlags(), DataFlag::Owned|DataFlag::Mutable);
         CORRADE_VERIFY(a.isCompressed());
         CORRADE_COMPARE(a.compressedStorage().compressedBlockSize(), Vector3i{4});
         CORRADE_COMPARE(a.compressedFormat(), CompressedPixelFormat::Bc1RGBAUnorm);
         CORRADE_COMPARE(a.size(), Vector2i(4, 4));
-        CORRADE_COMPARE(a.data(), data);
+        CORRADE_COMPARE(static_cast<const void*>(a.data().data()), data);
         CORRADE_COMPARE(a.data().size(), 8);
+        CORRADE_COMPARE(static_cast<const void*>(a.mutableData().data()), data);
+        CORRADE_COMPARE(a.mutableData().size(), 8);
         CORRADE_COMPARE(a.importerState(), &state);
     }
 }
@@ -288,18 +349,270 @@ void ImageDataTest::constructCompressedImplementationSpecific() {
             GL::CompressedPixelFormat::RGBS3tcDxt1, {4, 4},
             Containers::Array<char>{data, 8}, &state};
 
+        CORRADE_COMPARE(a.dataFlags(), DataFlag::Owned|DataFlag::Mutable);
         CORRADE_VERIFY(a.isCompressed());
         CORRADE_COMPARE(a.compressedStorage().compressedBlockSize(), Vector3i{4});
         CORRADE_COMPARE(a.compressedFormat(), compressedPixelFormatWrap(GL::CompressedPixelFormat::RGBS3tcDxt1));
         CORRADE_COMPARE(a.size(), (Vector2i{4, 4}));
-        CORRADE_COMPARE(a.data(), data);
+        CORRADE_COMPARE(static_cast<const void*>(a.data().data()), data);
         CORRADE_COMPARE(a.data().size(), 8);
+        CORRADE_COMPARE(static_cast<const void*>(a.mutableData().data()), data);
+        CORRADE_COMPARE(a.mutableData().size(), 8);
         CORRADE_COMPARE(a.importerState(), &state);
     }
 
     /* Manual properties not implemented yet */
 }
 
+void ImageDataTest::constructGenericNotOwned() {
+    auto&& instanceData = NotOwnedData[testCaseInstanceId()];
+    setTestCaseDescription(instanceData.name);
+
+    {
+        char data[4*4];
+        int state;
+        ImageData2D a{PixelFormat::RGBA8Unorm, {1, 3}, instanceData.dataFlags, data, &state};
+
+        CORRADE_COMPARE(a.dataFlags(), instanceData.dataFlags);
+        CORRADE_VERIFY(!a.isCompressed());
+        CORRADE_COMPARE(a.storage().alignment(), 4);
+        CORRADE_COMPARE(a.format(), PixelFormat::RGBA8Unorm);
+        CORRADE_COMPARE(a.formatExtra(), 0);
+        CORRADE_COMPARE(a.pixelSize(), 4);
+        CORRADE_COMPARE(a.size(), (Vector2i{1, 3}));
+        CORRADE_COMPARE(static_cast<const void*>(a.data().data()), data);
+        CORRADE_COMPARE(a.data().size(), 4*4);
+        CORRADE_COMPARE(static_cast<const void*>(&a.pixels<Color4ub>()[0][0]), data);
+        if(instanceData.dataFlags & DataFlag::Mutable) {
+            CORRADE_COMPARE(static_cast<const void*>(a.mutableData().data()), data);
+            CORRADE_COMPARE(a.mutableData().size(), 4*4);
+            CORRADE_COMPARE(static_cast<const void*>(&a.mutablePixels<Color4ub>()[0][0]), data);
+        }
+        CORRADE_COMPARE(a.importerState(), &state);
+    } {
+        char data[3*2];
+        int state;
+        ImageData2D a{PixelStorage{}.setAlignment(1),
+            PixelFormat::R16UI, {1, 3}, instanceData.dataFlags, data, &state};
+
+        CORRADE_COMPARE(a.dataFlags(), instanceData.dataFlags);
+        CORRADE_VERIFY(!a.isCompressed());
+        CORRADE_COMPARE(a.storage().alignment(), 1);
+        CORRADE_COMPARE(a.format(), PixelFormat::R16UI);
+        CORRADE_COMPARE(a.formatExtra(), 0);
+        CORRADE_COMPARE(a.pixelSize(), 2);
+        CORRADE_COMPARE(a.size(), (Vector2i{1, 3}));
+        CORRADE_COMPARE(static_cast<const void*>(a.data().data()), data);
+        CORRADE_COMPARE(a.data().size(), 3*2);
+        CORRADE_COMPARE(static_cast<const void*>(&a.pixels<UnsignedShort>()[0][0]), data);
+        if(instanceData.dataFlags & DataFlag::Mutable) {
+            CORRADE_COMPARE(static_cast<const void*>(a.mutableData().data()), data);
+            CORRADE_COMPARE(a.mutableData().size(), 3*2);
+            CORRADE_COMPARE(static_cast<const void*>(&a.mutablePixels<UnsignedShort>()[0][0]), data);
+        }
+        CORRADE_COMPARE(a.importerState(), &state);
+    }
+}
+
+void ImageDataTest::constructImplementationSpecificNotOwned() {
+    auto&& instanceData = NotOwnedData[testCaseInstanceId()];
+    setTestCaseDescription(instanceData.name);
+
+    /* Single format */
+    {
+        char data[3*12];
+        int state;
+        ImageData2D a{PixelStorage{}.setAlignment(1),
+            Vk::PixelFormat::R32G32B32F, {1, 3}, instanceData.dataFlags, data, &state};
+
+        CORRADE_COMPARE(a.dataFlags(), instanceData.dataFlags);
+        CORRADE_VERIFY(!a.isCompressed());
+        CORRADE_COMPARE(a.storage().alignment(), 1);
+        CORRADE_COMPARE(a.format(), pixelFormatWrap(Vk::PixelFormat::R32G32B32F));
+        CORRADE_COMPARE(a.formatExtra(), 0);
+        CORRADE_COMPARE(a.pixelSize(), 12);
+        CORRADE_COMPARE(a.size(), (Vector2i{1, 3}));
+        CORRADE_COMPARE(static_cast<const void*>(a.data().data()), data);
+        CORRADE_COMPARE(a.data().size(), 3*12);
+        CORRADE_COMPARE(static_cast<const void*>(&a.pixels<Color3>()[0][0]), data);
+        if(instanceData.dataFlags & DataFlag::Mutable) {
+            CORRADE_COMPARE(static_cast<const void*>(a.mutableData().data()), data);
+            CORRADE_COMPARE(a.mutableData().size(), 3*12);
+            CORRADE_COMPARE(static_cast<const void*>(&a.mutablePixels<Color3>()[0][0]), data);
+        }
+        CORRADE_COMPARE(a.importerState(), &state);
+    }
+
+    /* Format + extra */
+    {
+        char data[3*6];
+        int state;
+        ImageData2D a{PixelStorage{}.setAlignment(1),
+            GL::PixelFormat::RGB, GL::PixelType::UnsignedShort, {1, 3}, instanceData.dataFlags, data, &state};
+
+        CORRADE_COMPARE(a.dataFlags(), instanceData.dataFlags);
+        CORRADE_VERIFY(!a.isCompressed());
+        CORRADE_COMPARE(a.format(), pixelFormatWrap(GL::PixelFormat::RGB));
+        CORRADE_COMPARE(a.formatExtra(), UnsignedInt(GL::PixelType::UnsignedShort));
+        CORRADE_COMPARE(a.pixelSize(), 6);
+        CORRADE_COMPARE(a.size(), (Vector2i{1, 3}));
+        CORRADE_COMPARE(static_cast<const void*>(a.data().data()), data);
+        CORRADE_COMPARE(a.data().size(), 3*6);
+        CORRADE_COMPARE(static_cast<const void*>(&a.pixels<Math::Vector3<UnsignedShort>>()[0][0]), data);
+        if(instanceData.dataFlags & DataFlag::Mutable) {
+            CORRADE_COMPARE(static_cast<const void*>(a.mutableData().data()), data);
+            CORRADE_COMPARE(a.mutableData().size(), 3*6);
+            CORRADE_COMPARE(static_cast<const void*>(&a.mutablePixels<Math::Vector3<UnsignedShort>>()[0][0]), data);
+        }
+        CORRADE_COMPARE(a.importerState(), &state);
+    }
+
+    /* Manual pixel size */
+    {
+        char data[3*6];
+        int state;
+        ImageData2D a{PixelStorage{}.setAlignment(1), 666, 1337, 6, {1, 3}, instanceData.dataFlags, data, &state};
+
+        CORRADE_COMPARE(a.dataFlags(), instanceData.dataFlags);
+        CORRADE_VERIFY(!a.isCompressed());
+        CORRADE_COMPARE(a.storage().alignment(), 1);
+        CORRADE_COMPARE(a.format(), pixelFormatWrap(GL::PixelFormat::RGB));
+        CORRADE_COMPARE(a.formatExtra(), UnsignedInt(GL::PixelType::UnsignedShort));
+        CORRADE_COMPARE(a.pixelSize(), 6);
+        CORRADE_COMPARE(a.size(), (Vector2i{1, 3}));
+        CORRADE_COMPARE(static_cast<const void*>(a.data().data()), data);
+        CORRADE_COMPARE(a.data().size(), 3*6);
+        CORRADE_COMPARE(static_cast<const void*>(&a.pixels<Math::Vector3<UnsignedShort>>()[0][0]), data);
+        if(instanceData.dataFlags & DataFlag::Mutable) {
+            CORRADE_COMPARE(static_cast<const void*>(a.mutableData().data()), data);
+            CORRADE_COMPARE(a.mutableData().size(), 3*6);
+            CORRADE_COMPARE(static_cast<const void*>(&a.mutablePixels<Math::Vector3<UnsignedShort>>()[0][0]), data);
+        }
+        CORRADE_COMPARE(a.importerState(), &state);
+    }
+}
+
+void ImageDataTest::constructCompressedGenericNotOwned() {
+    auto&& instanceData = NotOwnedData[testCaseInstanceId()];
+    setTestCaseDescription(instanceData.name);
+
+    {
+        char data[8];
+        int state;
+        ImageData2D a{CompressedPixelFormat::Bc1RGBAUnorm, {4, 4},
+            instanceData.dataFlags, data, &state};
+
+        CORRADE_COMPARE(a.dataFlags(), instanceData.dataFlags);
+        CORRADE_VERIFY(a.isCompressed());
+        CORRADE_COMPARE(a.compressedStorage().compressedBlockSize(), Vector3i{0});
+        CORRADE_COMPARE(a.compressedFormat(), CompressedPixelFormat::Bc1RGBAUnorm);
+        CORRADE_COMPARE(a.size(), (Vector2i{4, 4}));
+        CORRADE_COMPARE(static_cast<const void*>(a.data().data()), data);
+        CORRADE_COMPARE(a.data().size(), 8);
+        if(instanceData.dataFlags & DataFlag::Mutable) {
+            CORRADE_COMPARE(static_cast<const void*>(a.mutableData().data()), data);
+            CORRADE_COMPARE(a.mutableData().size(), 8);
+        }
+        CORRADE_COMPARE(a.importerState(), &state);
+    } {
+        char data[8];
+        int state;
+        ImageData2D a{CompressedPixelStorage{}.setCompressedBlockSize(Vector3i{4}),
+            CompressedPixelFormat::Bc1RGBAUnorm, {4, 4},
+            instanceData.dataFlags, data, &state};
+
+        CORRADE_COMPARE(a.dataFlags(), instanceData.dataFlags);
+        CORRADE_VERIFY(a.isCompressed());
+        CORRADE_COMPARE(a.compressedStorage().compressedBlockSize(), Vector3i{4});
+        CORRADE_COMPARE(a.compressedFormat(), CompressedPixelFormat::Bc1RGBAUnorm);
+        CORRADE_COMPARE(a.size(), Vector2i(4, 4));
+        CORRADE_COMPARE(static_cast<const void*>(a.data().data()), data);
+        CORRADE_COMPARE(a.data().size(), 8);
+        if(instanceData.dataFlags & DataFlag::Mutable) {
+            CORRADE_COMPARE(static_cast<const void*>(a.mutableData().data()), data);
+            CORRADE_COMPARE(a.mutableData().size(), 8);
+        }
+        CORRADE_COMPARE(a.importerState(), &state);
+    }
+}
+
+void ImageDataTest::constructCompressedImplementationSpecificNotOwned() {
+    auto&& instanceData = NotOwnedData[testCaseInstanceId()];
+    setTestCaseDescription(instanceData.name);
+
+    /* Format with autodetection */
+    {
+        char data[8];
+        int state;
+        ImageData2D a{CompressedPixelStorage{}.setCompressedBlockSize(Vector3i{4}),
+            GL::CompressedPixelFormat::RGBS3tcDxt1, {4, 4},
+            instanceData.dataFlags, data, &state};
+
+        CORRADE_COMPARE(a.dataFlags(), instanceData.dataFlags);
+        CORRADE_VERIFY(a.isCompressed());
+        CORRADE_COMPARE(a.compressedStorage().compressedBlockSize(), Vector3i{4});
+        CORRADE_COMPARE(a.compressedFormat(), compressedPixelFormatWrap(GL::CompressedPixelFormat::RGBS3tcDxt1));
+        CORRADE_COMPARE(a.size(), (Vector2i{4, 4}));
+        CORRADE_COMPARE(static_cast<const void*>(a.data().data()), data);
+        CORRADE_COMPARE(a.data().size(), 8);
+        if(instanceData.dataFlags & DataFlag::Mutable) {
+            CORRADE_COMPARE(static_cast<const void*>(a.mutableData().data()), data);
+            CORRADE_COMPARE(a.mutableData().size(), 8);
+        }
+        CORRADE_COMPARE(a.importerState(), &state);
+    }
+
+    /* Manual properties not implemented yet */
+}
+
+void ImageDataTest::constructGenericNotOwnedFlagOwned() {
+    char data[4*4];
+
+    std::ostringstream out;
+    Error redirectError{&out};
+    ImageData2D{PixelFormat::RGBA8Unorm, {1, 3}, DataFlag::Owned, data};
+    ImageData2D{PixelStorage{}.setAlignment(1), PixelFormat::R16UI, {1, 3}, DataFlag::Owned, data};
+    CORRADE_COMPARE(out.str(),
+        "Trade::ImageData: can't construct a non-owned instance with Trade::DataFlag::Owned\n"
+        "Trade::ImageData: can't construct a non-owned instance with Trade::DataFlag::Owned\n");
+}
+
+void ImageDataTest::constructImplementationSpecificNotOwnedFlagOwned() {
+    char data[3*12];
+
+    std::ostringstream out;
+    Error redirectError{&out};
+    ImageData2D{PixelStorage{}.setAlignment(1), Vk::PixelFormat::R32G32B32F, {1, 3}, DataFlag::Owned, data};
+    ImageData2D{PixelStorage{}.setAlignment(1), GL::PixelFormat::RGB, GL::PixelType::UnsignedShort, {1, 3}, DataFlag::Owned, data};
+    CORRADE_COMPARE(out.str(),
+        "Trade::ImageData: can't construct a non-owned instance with Trade::DataFlag::Owned\n"
+        "Trade::ImageData: can't construct a non-owned instance with Trade::DataFlag::Owned\n");
+}
+
+void ImageDataTest::constructCompressedGenericNotOwnedFlagOwned() {
+    char data[8];
+
+    std::ostringstream out;
+    Error redirectError{&out};
+    ImageData2D{CompressedPixelFormat::Bc1RGBAUnorm, {4, 4}, DataFlag::Owned, data};
+    ImageData2D{CompressedPixelStorage{}.setCompressedBlockSize(Vector3i{4}),
+        CompressedPixelFormat::Bc1RGBAUnorm, {4, 4}, DataFlag::Owned, data};
+    CORRADE_COMPARE(out.str(),
+        "Trade::ImageData: can't construct a non-owned instance with Trade::DataFlag::Owned\n"
+        "Trade::ImageData: can't construct a non-owned instance with Trade::DataFlag::Owned\n");
+}
+
+void ImageDataTest::constructCompressedImplementationSpecificNotOwnedFlagOwned() {
+    char data[8];
+
+    std::ostringstream out;
+    Error redirectError{&out};
+    ImageData2D a{CompressedPixelStorage{}.setCompressedBlockSize(Vector3i{4}),
+        GL::CompressedPixelFormat::RGBS3tcDxt1, {4, 4}, DataFlag::Owned, data};
+    CORRADE_COMPARE(out.str(),
+        "Trade::ImageData: can't construct a non-owned instance with Trade::DataFlag::Owned\n");
+}
+
 void ImageDataTest::constructInvalidSize() {
     std::ostringstream out;
     Error redirectError{&out};
@@ -343,6 +656,7 @@ void ImageDataTest::constructMoveGeneric() {
     CORRADE_COMPARE(a.data(), nullptr);
     CORRADE_COMPARE(a.size(), Vector2i{});
 
+    CORRADE_COMPARE(b.dataFlags(), DataFlag::Owned|DataFlag::Mutable);
     CORRADE_VERIFY(!b.isCompressed());
     CORRADE_COMPARE(b.storage().alignment(), 1);
     CORRADE_COMPARE(b.format(), PixelFormat::RGBA32F);
@@ -360,6 +674,7 @@ void ImageDataTest::constructMoveGeneric() {
     CORRADE_COMPARE(b.data(), data2);
     CORRADE_COMPARE(b.size(), (Vector2i{2, 6}));
 
+    CORRADE_COMPARE(c.dataFlags(), DataFlag::Owned|DataFlag::Mutable);
     CORRADE_VERIFY(!c.isCompressed());
     CORRADE_COMPARE(c.storage().alignment(), 1);
     CORRADE_COMPARE(c.format(), PixelFormat::RGBA32F);
@@ -384,6 +699,7 @@ void ImageDataTest::constructMoveImplementationSpecific() {
     CORRADE_COMPARE(a.data(), nullptr);
     CORRADE_COMPARE(a.size(), Vector2i{});
 
+    CORRADE_COMPARE(b.dataFlags(), DataFlag::Owned|DataFlag::Mutable);
     CORRADE_VERIFY(!b.isCompressed());
     CORRADE_COMPARE(b.storage().alignment(), 1);
     CORRADE_COMPARE(b.format(), pixelFormatWrap(GL::PixelFormat::RGB));
@@ -402,6 +718,7 @@ void ImageDataTest::constructMoveImplementationSpecific() {
     CORRADE_COMPARE(b.data(), data2);
     CORRADE_COMPARE(b.size(), Vector2i(2, 6));
 
+    CORRADE_COMPARE(c.dataFlags(), DataFlag::Owned|DataFlag::Mutable);
     CORRADE_VERIFY(!c.isCompressed());
     CORRADE_COMPARE(c.storage().alignment(), 1);
     CORRADE_COMPARE(c.format(), pixelFormatWrap(GL::PixelFormat::RGB));
@@ -424,6 +741,7 @@ void ImageDataTest::constructMoveCompressedGeneric() {
     CORRADE_COMPARE(a.data(), nullptr);
     CORRADE_COMPARE(a.size(), Vector2i{});
 
+    CORRADE_COMPARE(b.dataFlags(), DataFlag::Owned|DataFlag::Mutable);
     CORRADE_VERIFY(b.isCompressed());
     CORRADE_COMPARE(b.compressedStorage().compressedBlockSize(), Vector3i{4});
     CORRADE_COMPARE(b.compressedFormat(), CompressedPixelFormat::Bc3RGBAUnorm);
@@ -439,6 +757,7 @@ void ImageDataTest::constructMoveCompressedGeneric() {
     CORRADE_COMPARE(b.data(), data2);
     CORRADE_COMPARE(b.size(), (Vector2i{8, 4}));
 
+    CORRADE_COMPARE(c.dataFlags(), DataFlag::Owned|DataFlag::Mutable);
     CORRADE_VERIFY(c.isCompressed());
     CORRADE_COMPARE(c.compressedStorage().compressedBlockSize(), Vector3i{4});
     CORRADE_COMPARE(c.compressedFormat(), CompressedPixelFormat::Bc3RGBAUnorm);
@@ -459,6 +778,7 @@ void ImageDataTest::constructMoveCompressedImplementationSpecific() {
     CORRADE_COMPARE(a.data(), nullptr);
     CORRADE_COMPARE(a.size(), Vector2i{});
 
+    CORRADE_COMPARE(b.dataFlags(), DataFlag::Owned|DataFlag::Mutable);
     CORRADE_VERIFY(b.isCompressed());
     CORRADE_COMPARE(b.compressedStorage().compressedBlockSize(), Vector3i{4});
     CORRADE_COMPARE(b.compressedFormat(), compressedPixelFormatWrap(GL::CompressedPixelFormat::RGBS3tcDxt1));
@@ -474,6 +794,7 @@ void ImageDataTest::constructMoveCompressedImplementationSpecific() {
     CORRADE_COMPARE(b.data(), data2);
     CORRADE_COMPARE(b.size(), (Vector2i{8, 4}));
 
+    CORRADE_COMPARE(c.dataFlags(), DataFlag::Owned|DataFlag::Mutable);
     CORRADE_VERIFY(c.isCompressed());
     CORRADE_COMPARE(c.compressedStorage().compressedBlockSize(), Vector3i{4});
     CORRADE_COMPARE(c.compressedFormat(), compressedPixelFormatWrap(GL::CompressedPixelFormat::RGBS3tcDxt1));
@@ -493,6 +814,7 @@ void ImageDataTest::constructMoveAttachState() {
     CORRADE_COMPARE(a.data(), nullptr);
     CORRADE_COMPARE(a.size(), Vector2i{});
 
+    CORRADE_COMPARE(b.dataFlags(), DataFlag::Owned|DataFlag::Mutable);
     CORRADE_VERIFY(!b.isCompressed());
     CORRADE_COMPARE(b.storage().alignment(), 1);
     CORRADE_COMPARE(b.format(), pixelFormatWrap(GL::PixelFormat::RGB));
@@ -515,6 +837,7 @@ void ImageDataTest::constructMoveCompressedAttachState() {
     CORRADE_COMPARE(a.data(), nullptr);
     CORRADE_COMPARE(a.size(), Vector2i{});
 
+    CORRADE_COMPARE(b.dataFlags(), DataFlag::Owned|DataFlag::Mutable);
     CORRADE_VERIFY(b.isCompressed());
     CORRADE_COMPARE(b.compressedStorage().compressedBlockSize(), Vector3i{4});
     CORRADE_COMPARE(b.compressedFormat(), compressedPixelFormatWrap(GL::CompressedPixelFormat::RGBS3tcDxt1));
@@ -603,6 +926,31 @@ void ImageDataTest::dataRvalue() {
     CORRADE_COMPARE(released.data(), data);
 }
 
+void ImageDataTest::mutableAccessNotAllowed() {
+    const char data[4*4]{};
+    ImageData2D a{PixelFormat::RGBA8Unorm, {2, 2}, DataFlags{}, data};
+
+    std::ostringstream out;
+    Error redirectError{&out};
+    a.mutableData();
+    a.mutablePixels();
+    /* Can't do just MutableImageView2D(a) because the compiler then treats it
+       as a function. Can't do MutableImageView2D{a} because that doesn't work
+       on old Clang. So it's this mess, then. Sigh. */
+    auto b = MutableImageView2D(a);
+    static_cast<void>(b);
+    auto c = MutableCompressedImageView2D(a);
+    static_cast<void>(c);
+    /* a.mutablePixels<T>() calls non-templated mutablePixels(), so assume
+       there it will blow up correctly as well (can't test because it asserts
+       inside arrayCast() due to zero stride) */
+    CORRADE_COMPARE(out.str(),
+        "Trade::ImageData::mutableData(): the image is not mutable\n"
+        "Trade::ImageData::mutablePixels(): the image is not mutable\n"
+        "Trade::ImageData: the image is not mutable\n"
+        "Trade::ImageData: the image is not mutable\n");
+}
+
 void ImageDataTest::dataProperties() {
     ImageData3D image{
         PixelStorage{}
@@ -646,12 +994,12 @@ void ImageDataTest::pixels1D() {
     /* Full test is in ImageTest, this is just a sanity check */
 
     {
-        Containers::StridedArrayView1D<Color3ub> pixels = image.pixels<Color3ub>();
+        Containers::StridedArrayView1D<Color3ub> pixels = image.mutablePixels<Color3ub>();
         CORRADE_COMPARE(pixels.size(), 2);
         CORRADE_COMPARE(pixels.stride(), 3);
         CORRADE_COMPARE(pixels.data(), image.data() + 3*3);
     } {
-        Containers::StridedArrayView1D<const Color3ub> pixels = Containers::arrayCast<1, const Color3ub>(cimage.pixels());
+        Containers::StridedArrayView1D<const Color3ub> pixels = cimage.pixels<Color3ub>();
         CORRADE_COMPARE(pixels.size(), 2);
         CORRADE_COMPARE(pixels.stride(), 3);
         CORRADE_COMPARE(pixels.data(), cimage.data() + 3*3);
@@ -671,12 +1019,12 @@ void ImageDataTest::pixels2D() {
     /* Full test is in ImageTest, this is just a sanity check */
 
     {
-        Containers::StridedArrayView2D<Color3ub> pixels = image.pixels<Color3ub>();
+        Containers::StridedArrayView2D<Color3ub> pixels = image.mutablePixels<Color3ub>();
         CORRADE_COMPARE(pixels.size(), (Containers::StridedArrayView2D<Color3ub>::Size{4, 2}));
         CORRADE_COMPARE(pixels.stride(), (Containers::StridedArrayView2D<Color3ub>::Stride{20, 3}));
         CORRADE_COMPARE(pixels.data(), image.data() + 2*20 + 3*3);
     } {
-        Containers::StridedArrayView2D<const Color3ub> pixels = Containers::arrayCast<2, const Color3ub>(cimage.pixels());
+        Containers::StridedArrayView2D<const Color3ub> pixels = cimage.pixels<Color3ub>();
         CORRADE_COMPARE(pixels.size(), (Containers::StridedArrayView2D<const Color3ub>::Size{4, 2}));
         CORRADE_COMPARE(pixels.stride(), (Containers::StridedArrayView2D<const Color3ub>::Stride{20, 3}));
         CORRADE_COMPARE(pixels.data(), cimage.data() + 2*20 + 3*3);
@@ -697,7 +1045,7 @@ void ImageDataTest::pixels3D() {
     /* Full test is in ImageTest, this is just a sanity check */
 
     {
-        Containers::StridedArrayView3D<Color3ub> pixels = image.pixels<Color3ub>();
+        Containers::StridedArrayView3D<Color3ub> pixels = image.mutablePixels<Color3ub>();
         CORRADE_COMPARE(pixels.size(), (Containers::StridedArrayView3D<Color3ub>::Size{3, 4, 2}));
         CORRADE_COMPARE(pixels.stride(), (Containers::StridedArrayView3D<Color3ub>::Stride{140, 20, 3}));
         CORRADE_COMPARE(pixels.data(), image.data() + 140 + 2*20 + 3*3);