Struct Transform2D

Represents a 2D transformation.

[DataContract]
[AvailableSinceVersion(7, 6, 0, 0)]
public struct Transform2D

The transformation is defined by a 3x3 matrix that operates as multiplier on column vectors containing homogeneous coordinates:

[ R00 R01 Tx ]

[ R10 R11 Ty ]

[ Px Py Si ]

That transforms (X, Y, H) into (X', Y', H') as follows:

X' = R00 * X + R01 * Y + Tx * H

Y' = R10 * X + R11 * Y + Ty * H

H' = Px * X + Py * Y + Si * H

R is a non singular transformation matrix, that contains the rotation, reflection, non-uniform scaling and shearing components.

T is a translation vector.

P represents the perspective terms in viewing transformations. It must be zero in transformations used for modeling.

Si is the inverse of the global scale factor, it has to be greater than zero.

In the case of conventional coordinates, H is equal to one, and the coordinates of the transformed point are (X'/H', Y'/H').

For instance here is the transformation matrix corresponding to the rotation of angle "a" around the origin point:

[ cos(a) -sin(a) 0 ]

[ sin(a) cos(a) 0 ]

[ 0 0 1 ]

This structure is available since v7.6.

Name	Description
Transform2D(double, double, double, double, double, double, double, double, double)	Initializes a new instance of the Transform2D structure.

Name	Description
Identity	Indentity transformation.
Px	Perspective factor along X.
Py	Perspective factor along Y.
R00	Rotation[0,0].
R01	Rotation[0,1].
R10	Rotation[1,0].
R11	Rotation[1,1].
Si	Inverse of the global scale factor.
Tx	Translation along X.
Ty	Translation along Y.

Name	Description
SetRotation(Point3D, double)	Sets the transformation as the rotation about a specified point with a specified angle.
SetTranslation(Vector2D)	Sets the transformation as the translation along a specified vector.