Local Energy Fairing of B-Spline Curves

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