/usr/share/radiance/cubic.cal is in radiance-materials 4R1+20120125-1.1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 | {
Cubic Basis Functions
}
bezier(p1, p2, p3, p4, t) = p1 * (1+t*(-3+t*(3-t))) +
p2 * 3*t*(1+t*(-2+t)) +
p3 * 3*t*t*(1-t) +
p4 * t*t*t ;
hermite(p0, p1, r0, r1, t) = p0 * ((2*t-3)*t*t+1) +
p1 * (-2*t+3)*t*t +
r0 * (((t-2)*t+1)*t) +
r1 * ((t-1)*t*t);
bspline(pp, p0, p1, pn, t) = pp * (1/6+t*(-1/2+t*(1/2-1/6*t))) +
p0 * (2/3+t*t*(-1+1/2*t)) +
p1 * (1/6+t*(1/2+t*(1/2-1/2*t))) +
pn * (1/6*t*t*t) ;
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