Matrix Matrix Matrix Struct
Represents a 3 × 3 affine transformation matrix used for transformations in two-dimensional space.
public struct Matrix
public struct Matrix
Public Structure Matrix
Windows 10 (introduced v10.0.10240.0)
Windows.Foundation.UniversalApiContract (introduced v1)
A 3×3 matrix is used for transformations in a two-dimensional x-y plane. Affine transformation matrices can be multiplied to form any number of linear transformations, such as rotation and skew (shear), followed by translation. An affine transformation matrix has its final column equal to (0, 0, 1), so only the members in the first two columns need to be specified. Note that vectors are expressed as row-vectors, not column vectors.
A Matrix is stored using row-major order and has the following structure:
The members in the last row, OffsetX and OffsetY, represent translation values.
In methods and properties, the transformation matrix is usually specified as a vector with only six members, as follows: (M11, M12, M21, M22, OffsetX, OffsetY)
Although you can use a Matrix structure directly to translate individual points, or with a MatrixTransform to transform objects, the Windows Runtime also provides a set of classes that can transform objects without working directly with matrices:
Matrix is the property value for the MatrixTransform.Matrix property. Related types can be used for transformation matrices in three-dimensional space and then used for a projection. See Matrix3D and Matrix3DProjection.
Language projections and members of Matrix
If you are using a Microsoft .NET language (C# or Microsoft Visual Basic), or in Visual C++ component extensions (C++/CX) then Matrix has non-data members available, and its data members are exposed as read-write properties, not fields.
If you are programming with C++ using the Windows Runtime Template Library (WRL), then only the data member fields exist as members of Matrix, and you cannot use the utility methods or properties listed in the members table. WRL code can access similar utility methods that exist on the MatrixHelper class.
This example XAML defines a Matrix that provides data for a MatrixTransform applied to a rectangular shape. In this case, the matrix combines an offset (OffsetX and OffsetY) and a skew (M12). Note that this same effect could have been produced by combining a TranslateTransform and a SkewTransform. Whether to use a single Matrix or combinations of discrete transforms is a matter of coding style; the results are identical.
<Rectangle Width="60" Height="60" Fill="Blue"> <Rectangle.RenderTransform> <MatrixTransform> <MatrixTransform.Matrix > <!-- This matrix transforms the x,y position of the rectangle and skews it. --> <Matrix OffsetX="30" OffsetY="100" M12="0.5" /> </MatrixTransform.Matrix> </MatrixTransform> </Rectangle.RenderTransform> </Rectangle>