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Figure 6.20. The 4×4 matrix for 3D transforms

Thismatrixcorrespondstothematrix3dfunction,whichaccepts 16 arguments,

oneforeachvalueofthe 4 × 4 matrix.Two-dimensionaltransformscanalsobeex-

pressedusinga 3 × 3 matrix,seeninFigure6.21.

Figure 6.21. A 3×3 matrix used for 2D transforms

This 3 × 3 matrixcorrespondstothematrixtransformfunction.Thematrix()

functionacceptssixparameters,oneeachforvaluesathroughf.

Eachtransformfunctioncanbedescribedusingamatrixandthematrixormatrix3d

functions.Figure6.22showsthe 4 × 4 matrixforthescale3dfunction,wheresx,sy,

andszarethescalingfactorsoftheX,Y,andZdimensionsrespectively.

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