| 摘要: |
| 研究了有理曲面的hybrid多项式逼近和Hermite多项式逼近的关系.在权系数的某些假定下,得到hybrid多项式逼近和Hermite多项式逼近均收敛的充分必要条件. |
| 关键词: 有理Bézier曲面 多项式逼近 Hermite逼近 hybrid逼近 收敛性. |
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| 基金项目:Supported by the National Natural Science Foundation under Gra nt No.19992895 (国家自然科学基金); the Natural Science Foundation of Zhejiang Pr ovince of China under Grant No.698025 (浙江省自然科学基金); Foundation of State Key Basic Research 973 Program under Grant No.G1998030600 (973国家重点基础研究发展项目基金) |
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| Two Types of Polynomial Approximation to Rat ional Surfaces and Their Convergence |
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LIU Li gang,WANG Guo jin
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| Abstract: |
| This paper investigates the relationship between the hybrid polynomial approximation and the Hermite polynomial approximation for rational surfaces. Under some assumptions of the control point weights, the paper derives the general necessary and sufficient conditions for which both the hybrid polynomial approximation and the Hermite polynomial approximation converge to the rational surface. |
| Key words: rational Bézier surface polynomial approximation Hermite approximation hybrid approximation convergence |
