#798 – Rotation Transforms Using Homogeneous Coordinates

You can apply a rotation transform to a 2D point using a 2 x 2 transformation, multiplying it by a 2 x 1 point matrix.  This results in a second 2 x 1 point matrix that represents the transformed (rotated) point.

798-001

In WPF, however, rotation transforms are done using homogeneous coordinates, which means that we multiply a 3 x 3 transformation matrix by a 3 x 1 point matrix.

798-002

In the resulting 3 x 1 matrix, the first and second rows contain the x and y values of the transformed (rotated) point.

About Sean
Software developer in the Twin Cities area, passionate about .NET technologies. Equally passionate about my own personal projects related to family history and preservation of family stories and photos.

One Response to #798 – Rotation Transforms Using Homogeneous Coordinates

  1. Pingback: Dew Drop – April 15, 2013 (#1,527) | Alvin Ashcraft's Morning Dew

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