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Sat Oct 4 23:33:09 1997 UTC (23 years, 10 months ago) by monnier
File size: 1107 byte(s)
Sat Oct 4 23:33:09 1997 UTC (23 years, 10 months ago) by monnier
File size: 1107 byte(s)
Initial revision
(* spline-sig.sml * * COPYRIGHT (c) 1991 by AT&T Bell Laboratories See COPYRIGHT file for details. *) signature SPLINE = sig structure G : GEOMETRY (* curve: * Given four points (p0,p1,p2,p3), return a list of points corresponding to * to a Bezier cubic section, starting at p0, ending at p3, with p1, p2 as * control points. *) val curve : (G.point * G.point * G.point * G.point) -> G.point list (* simpleBSpline: * Compute a simple B-spline with the given control points. *) val simpleBSpline : G.point list -> G.point list (* bSpline: * bSpline ([p1]@l@[pn]) == simpleBSpline ([p1,p1,p1]@l@[pn,pn,pn]) * The replication of p1 and pn constrains the resultant spline * to connect p1 and pn. *) val bSpline : G.point list -> G.point list (* closedBSpline: * Compute a closed B-spline. * closedBSpline (l as a::b::c::_) = simpleBSpline (l@[a,b,c]) * Note that the first and last points of the result are the same. *) val closedBSpline : G.point list -> G.point list end (* SPLINE *)
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