| An orthogonal basis for the hyperbolic hybrid polynomial space |
| |
| 作者单位： | HUANG Yu（Department of Mathematics, Zhejiang University, Hangzhou, 310027, China） ;
WANG GuoZhao（Department of Mathematics, Zhejiang University, Hangzhou, 310027, China） ; |
| |
| 基金项目： | 国家自然科学基金;国家重点基础研究发展计划(973计划) |
| |
| 摘 要： | Motivated by the wide usage of the Tchebyshev basis and Legendre basis in the algebra polynomial space, we construct an orthogonal basis with the properties of the H-Bézier basis in the hyperbolic hybrid polynomial space, which is similar to the Legendre basis and holds remarkable properties. Moreover, we derive the transformation matrices that map the H-Bézier basis and the orthogonal basis forms into each other. An example for approximating the degree reduction of the H- Bézier curves is sketched to illustrate the utility of the orthogonal basis.
|
| 关 键 词： | H-Bézier basis |
| 收稿时间： | 3 October 2004 |
| 修稿时间： | 18 August 2006 |
An orthogonal basis for the hyperbolic hybrid polynomial space |
| |
| Authors: | Huang Yu Wang GuoZhao |
| |
| Affiliation: | Department of Mathematics, Zhejiang University, Hangzhou, 310027, China |
| |
| Abstract: | Motivated by the wide usage of the Tchebyshev basis and Legendre basis in the algebra polynomial space, we construct an orthogonal
basis with the properties of the H-Bézier basis in the hyperbolic hybrid polynomial space, which is similar to the Legendre
basis and holds remarkable properties. Moreover, we derive the transformation matrices that map the H-Bézier basis and the
orthogonal basis forms into each other. An example for approximating the degree reduction of the H-Bézier curves is sketched
to illustrate the utility of the orthogonal basis.
Supported by the National Natural Science Foundation of China (Grant No. 60473130) and the National “973” Key Basic Research
Project (Grant No. 2004CB318006) |
| |
| Keywords: | orthogonal basis basis transformations degree reduction |
| 本文献已被 万方数据 SpringerLink 等数据库收录！ |
