Appendix F - Standard Basis Matrices

In this section the required RenderMan Interface  basis matrices (used for bicubic patches). 

RtBasis RiBezierBasis = 
{
    -1,  3, -3, 1,
     3, -6,  3, 0,
    -3,  3,  0, 0,
     1,  0,  0, 0
};

RtBasis RiBSplineBasis =
{ 
    -1/6.,  3/6., -3/6.,  1/6.,
     3/6., -6/6.,  3/6.,  0,
    -3/6.,  0,     3/6.,  0,
     1/6.,  4/6.,  1/6.,  0
};

RtBasis RiCatmullRomBasis =
{
    -1/2.,  3/2., -3/2.,  1/2.,
     2/2., -5/2.,  4/2., -1/2.,
    -1/2.,  0,     1/2.,  0,
     0,     2/2.,  0,     0
};

RtBasis RiHermiteBasis =
{
     2,  1, -2,  1,
    -3, -2,  3, -1,
     0,  1,  0,  0,
     1,  0,  0,  0
};

RtBasis RiPowerBasis =
{
     1,  0,  0,  0,
     0,  1,  0,  0,
     0,  0,  1,  0,
     0,  0,  0,  1
};

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