# Matrix.AffineTransformation2D(Single,Vector2,Single,Vector2) Method (Microsoft.DirectX)

Builds a 2-D affine transformation matrix in the xy plane.

Definition

Visual Basic Public Shared Function AffineTransformation2D( _    ByVal scaling As Single, _    ByVal rotationCenter As Vector2, _    ByVal rotation As Single, _    ByVal translation As Vector2 _) As Matrix public static Matrix AffineTransformation2D(    float scaling,    Vector2 rotationCenter,    float rotation,    Vector2 translation); public: static Matrix AffineTransformation2D(    float scaling,    Vector2 rotationCenter,    float rotation,    Vector2 translation); public static function AffineTransformation2D(    scaling : float,    rotationCenter : Vector2,    rotation : float,    translation : Vector2) : Matrix;

Parameters

 scaling System.Single Scaling factor. A value of zero indicates no scaling. rotationCenter Microsoft.DirectX.Vector2 A Vector2 structure that represents a point identifying the center of rotation. Use an empty Vector2 for no rotation. rotation System.Single Angle of rotation. A value of zero indicates no rotation translation Microsoft.DirectX.Vector2 A Vector2 structure that represents the translation. Use Vector2.Empty to specify no translation.

Return Value

Microsoft.DirectX.Matrix
A Matrix structure that is an affine transformation matrix.

Remarks

The AffineTransformation2D method calculates the affine transformation matrix using the following formula, with matrix concatenation evaluated in left-to-right order.

Mout = Ms * (Mrc)-1 * Mr * Mrc * Mt

where:

• Mout = output matrix (this instance)
• Ms = scaling matrix (scaling)
• Mrc = center of rotation matrix (rotationCenter)
• Mr = rotation matrix (rotation)
• Mt = translation matrix (translation)

For 3-D affine transformations, use AffineTransformation.

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