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On de Casteljau-type algorithms for rational B´ezier curves
Type of publication: Misc
Citation:
Year: 2014
Abstract: We consider the space of rational functions of degree n with a common denominator. It is shown that the corresponding rational B´ezier curves admit up to 1 + n! different de Casteljau-type algorithms, depending on the ordering of the elementary factors of the polynomial. Our observations generalize recent results of Han, Chu and Qiu [2], which cover the case of denominators of the formQn i=1(1− t+qi−1t) where q is a positive constant, to rational curves with general denominators.
Preprint project: NCMM
Preprint year: 2014
Preprint number: 13
Preprint ID: NCMM/2014/13
Keywords: De Casteljau algorithm, degree elevation, Lupa¸s numbers, rational Bernstein functions, rational B´ezier curves
Authors Jüttler, Bert
Šír, Zbyněk
Added by: [JP]
Total mark: 0
Attachments
  • NCMM_13_14.pdf
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