Rotation Transforms for Computer Graphics by John Vince

Rotation Transforms for Computer Graphics by John Vince

Author:John Vince
Language: eng
Format: epub
Publisher: Springer London, London


We can use R β and to develop a composite transform for rotating a point about an arbitrary point (t x ,t y ) as follows:

(7.2)

where

Note that the transform sequence starts on the right next to the original coordinates, working leftwards.

Equation (7.2) expands to

Next, we multiply these matrices together to form a single matrix. Let’s begin by multiplying the R β and matrices, which produces

and finally we obtain

which is the same as the previous transform (7.1).

7.3.4 Rotate and Translate a Point



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