| Multi-degree reduction of tensor product Bézier surfaces with conditions of corners interpolations |
| |
| 引用本文： | 陈国栋,王国谨.Multi-degree reduction of tensor product Bézier surfaces with conditions of corners interpolations[J].中国科学F辑(英文版),2002,45(1):51-58. |
| |
| 作者姓名： | 陈国栋 王国谨 |
| |
| 作者单位： | CHEN Guodong & WANG GuojinState Key Laboratory of CAD&CG，Institute of Computer Images and Graphics，Zhejiang University，Hangzhou 310027，China |
| |
| 基金项目： | This work was supported by the National Natural Science Foundation of China (Grant No. 69973041) Natural Science Foundation of Zhejiang Province (Grant No. 698025) and the Foundation of State Key Basic Research 973 Project (Grant No. G1998030600). |
| |
| 摘 要： | This paper studies the multi-degree reduction of tensor product B(?)zier surfaces with any degree interpolation conditions of four corners, which is urgently to be resolved in many CAD/CAM systems. For the given conditions of corners interpolation, this paper presents one intuitive method of degree reduction of parametric surfaces. Another new approximation algorithm of multi-degree reduction is also presented with the degree elevation of surfaces and the Chebyshev polynomial approximation theory. It obtains the good approximate effect and the boundaries of degree reduced surface can preserve the prescribed continuities. The degree reduction error of the latter algorithm is much smaller than that of the first algorithm. The error bounds of degree reduction of two algorithms are also presented .
|
Multi-degree reduction of tensor product Bézier surfaces with conditions of corners interpolations |
| |
| Guodong Chen and Guojin Wang.Multi-degree reduction of tensor product Bézier surfaces with conditions of corners interpolations[J].Science in China(Information Sciences),2002,45(1):51-58. |
| |
| Authors: | Guodong Chen and Guojin Wang |
| |
| Affiliation: | State Key Laboratory of CAD&CG, Institute of Computer Images and Graphics, Zhejiang University, Hangzhou 310027, China Correspondence should be addressed to Wang Guojin (email: amawgj@mail.hz.zj.cn) |
| |
| Abstract: | This paper studies the multi-degree reduction of tensor product B(?)zier surfaces with any degree interpolation conditions of four corners, which is urgently to be resolved in many CAD/CAM systems. For the given conditions of corners interpolation, this paper presents one intuitive method of degree reduction of parametric surfaces. Another new approximation algorithm of multi-degree reduction is also presented with the degree elevation of surfaces and the Chebyshev polynomial approximation theory. It obtains the good approximate effect and the boundaries of degree reduced surface can preserve the prescribed continuities. The degree reduction error of the latter algorithm is much smaller than that of the first algorithm. The error bounds of degree reduction of two algorithms are also presented . |
| |
| Keywords: | corner interpolation multi-degree reduction approximation tensor product surfaces |
| 本文献已被 CNKI 万方数据 SpringerLink 等数据库收录！ |
