cal/cal/cubic.cal

{ RCSid $Id$ }
{
        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) ;
Revision:	1.2
Committed:	Wed Nov 21 18:10:45 2018 UTC (5 years, 6 months ago) by greg
Branch:	MAIN
CVS Tags:	rad5R4, rad5R3, HEAD
Changes since 1.1:	+1 -0 lines
Log Message:	Added missing RCSid tag
#	User	Rev	Content
1	greg	1.2	{ RCSid $Id$ }
2	greg	1.1	{
3			Cubic Basis Functions
4			}
5
6			bezier(p1, p2, p3, p4, t) = p1 * (1+t(-3+t(3-t))) +
7			p2 * 3t(1+t*(-2+t)) +
8			p3 * 3tt*(1-t) +
9			p4 * ttt ;
10
11			hermite(p0, p1, r0, r1, t) = p0 * ((2t-3)t*t+1) +
12			p1 * (-2t+3)t*t +
13			r0 * (((t-2)t+1)t) +
14			r1 * ((t-1)tt);
15
16			bspline(pp, p0, p1, pn, t) = pp * (1/6+t(-1/2+t(1/2-1/6*t))) +
17			p0 * (2/3+tt(-1+1/2*t)) +
18			p1 * (1/6+t(1/2+t(1/2-1/2*t))) +
19			pn * (1/6tt*t) ;