Abstract
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 /-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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Eck, M., Hadenfeld, J. (1995). Local Energy Fairing of B-spline Curves. In: Hagen, H., Farin, G., Noltemeier, H. (eds) Geometric Modelling. Computing Supplement, vol 10. Springer, Vienna. https://doi.org/10.1007/978-3-7091-7584-2_9
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DOI: https://doi.org/10.1007/978-3-7091-7584-2_9
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