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Computing the derivative of NURBS with respect to a knot |
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| Authors: | Les A Piegl Wayne Tiller |
| Affiliation: | a Department of Computer Science & Engineering, University of South Florida, 4202 Fowler Avenue, ENG 118, Tampa, FL 33620, USA b GeomWare, Inc., 3036 Ridgetop Road, Tyler, TX 75703, USA |
| Abstract: | Algorithms for computing the derivative of NURBS with respect to a knot are presented. Rational and nonrational curves and surfaces as well as basis functions are differentiated with respect to a knot. The derivative entities are computed by control point or basis function differencing divided by appropriate knot spans. |
| Keywords: | B-splines Differentiation Symbolic operators |
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