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 | |
| Added by: | [JP] |
| Total mark: | 0 |
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