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negate the matrix and all three scaling factors

Negate the matrix and all three scaling factors

VII.1 DECOMPOSING A MATRIX INTO SIMPLE TRANSFORMATIONS

be solved easily for px, py, pz, and pw Since some of the later steps will not work if this partition is singular, this is not a serious defect.

R =



cos β { }cos γ{ }

cos β { }sin γ{ }

sin α { }sin β { }sin γ{ }

−sin β[ ]

sin α { }cos β { }

0 0

0

322

cos α ± γ {  }

−sin α ± γ {  }

GRAPHICS GEMS II Edited by JAMES ARVO

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