Matrix.AffineTransformation2D Method

Language:

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

C# public static Matrix AffineTransformation2D(
    float scaling,
    Vector2 rotationCenter,
    float rotation,
    Vector2 translation
);

C++ public:
static Matrix AffineTransformation2D(
    float scaling,
    Vector2 rotationCenter,
    float rotation,
    Vector2 translation
);

JScript public static function AffineTransformation2D(
    scaling : float,
    rotationCenter : Vector2,
    rotation : float,
    translation : Vector2
) : Matrix;

Visual Basic	Public Shared Function AffineTransformation2D( _ ByVal scaling As Single, _ ByVal rotationCenter As Vector2, _ ByVal rotation As Single, _ ByVal translation As Vector2 _ ) As Matrix
C#	public static Matrix AffineTransformation2D( float scaling, Vector2 rotationCenter, float rotation, Vector2 translation );
C++	public: static Matrix AffineTransformation2D( float scaling, Vector2 rotationCenter, float rotation, Vector2 translation );
JScript	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.
M_out = M_s * (M_rc)^-1 * M_r * M_rc * M_t
where:
M_out = output matrix (this instance)
M_s = scaling matrix (scaling)
M_rc = center of rotation matrix (rotationCenter)
M_r = rotation matrix (rotation)
M_t = translation matrix (translation)

For 3-D affine transformations, use AffineTransformation.

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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.