Composition and Inversion of Transformations

[Hill: p. 222-224. Foley & van Dam: p. 208-210, 222-226]
A series of transformations can be accumulated into a single transformation matrix.

Suppose our object is defined as follows:

Suppose we wish to place the object in our scene like this:

This can be accomplished in several ways, one of which is:

Substituting (1) in (2) gives:







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