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1995
In this chapter we define nonrational B-spline curves and surfaces, study their properties, and derive expressions for their derivatives. For brevity we drop the word nonrational for the remainder of this chapter. The primary goal is to acquire an intuitive understanding of B-spline curves and surfaces, and to that end the reader should carefully study
Les Piegl, Wayne Tiller
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In this chapter we define nonrational B-spline curves and surfaces, study their properties, and derive expressions for their derivatives. For brevity we drop the word nonrational for the remainder of this chapter. The primary goal is to acquire an intuitive understanding of B-spline curves and surfaces, and to that end the reader should carefully study
Les Piegl, Wayne Tiller
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1974
Publisher Summary An example of a highly successful computerized design system is Systeme UNISURF, which was developed by P.Bezier at Regie Renault. The essence of the success of Bezier's system is that it combines modern approximation theory and geometry in a way that provides the designer with computerized analogs of his conventional design and ...
William J. Gordon, Richard F. Riesenfeld
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Publisher Summary An example of a highly successful computerized design system is Systeme UNISURF, which was developed by P.Bezier at Regie Renault. The essence of the success of Bezier's system is that it combines modern approximation theory and geometry in a way that provides the designer with computerized analogs of his conventional design and ...
William J. Gordon, Richard F. Riesenfeld
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Uniform trigonometric polynomial B-spline curves
Science in China Series F Information Sciences, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yonggang Lü, Guozhao Wang, Xunnian Yang
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Local Energy Fairing of B-spline Curves
1995An 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 ...
Matthias Eck 0002, Jan Hadenfeld
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