Local Energy Fairing of B-Spline Curves

Matthias Eck and Jan Hadenfeld

An automatic algorithm for fairing B-spline curves of general order is presented. This work was motivated by a method of Farin and Sapidis about fairing planar cubic B-spline curves by subsequently removing and reinserting knots. Instead our new algorithm is based on the idea of subsequently changing one control point of a given B-spline curve so that the new curve minimizes the integral of the squared l-th derivative of the B-spline curve. How to proceed, if a tolerance is given and must be kept, is also discussed.

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Computing Supplementum 10, Geometric Modelling, Springer, 1995, 129-147.