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Unformatted text preview: Composition or Concatenation of Transformations n rare to perform only one elementary transformation n composition of affine transformations is also affine n order transformations are applied in matters u matrix multiplication does not commute u example: translate then scale vs. scale then translate = 1 1 1 1 1 z y x z y x t t t s s s = 1 1 1 1 1 z y x z y x s s s t t t Composition or Concatenation of Transformations n reading left to right transformation matrices appear in reverse order u example: apply A then B then C u overall transformation is )) ( ( a A B C d d c C c b B b a A H H H H H H H H = = = = CBA T = Composition or Concatenation of Transformations (cont) n example: scale about arbitrary point P = (px, py, pz) u translate P to origin u scale u translate back to original point P...
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This note was uploaded on 02/13/2012 for the course CSE 4431 taught by Professor Burton during the Winter '12 term at York University.
 Winter '12
 BURTON

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