| 参数曲面用插值三角平面片逼近的误差估计 |
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| 引用本文： | 章仁江,王国瑾.参数曲面用插值三角平面片逼近的误差估计[J].计算数学,2004,26(2):169-178. |
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| 作者姓名： | 章仁江 王国瑾 |
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| 作者单位： | 1. 浙江大学数学系,杭州,310027；浙江大学CAD＆CG国家重点实验室,杭州,310027；中国计量学院数学系,杭州,310018
2. 浙江大学数学系,杭州,310027；浙江大学CAD＆CG国家重点实验室,杭州,3l0027 |
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| 基金项目： | 国家自然科学基金(No.60333010,No.60373033)，国家重点基础研究973项目(No.2002CB312101)资助. |
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| 摘 要： | Triangulation, subdivision and intersection of the surface are the basic and common operations in Computer Aided Design and computer graphics. A complicated surface can be approximated by some triangular patches. The key technique of this problem is the estimate of the approximate error, this work improves the previous result and obtains a new result. These results are valuable for improving the triangulation and subdivision algorithm of parametric surface in the design system.
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| 关 键 词： | 误差估计 参数曲面 三角剖分 离散 逼近 |
THE ERROR ESTIMATES FOR APPROXIMATING PARAMETRIC SURFACE BY INTERPOLATED PLANE TRIANGULAR PATCH |
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| Zhang Renjiang.THE ERROR ESTIMATES FOR APPROXIMATING PARAMETRIC SURFACE BY INTERPOLATED PLANE TRIANGULAR PATCH[J].Mathematica Numerica Sinica,2004,26(2):169-178. |
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| Authors: | Zhang Renjiang |
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| Institution: | Zhang Renjiang
(Department of Mathematics, Zhejiang University, Hangzhou, 310027;
State key laboratory of CAD&CG, Zhejiang University, Hangzhou, 310027;
Department of Mathematics, China Institute of Metrology, Zhejiang, Hangzhou, 310018)
Wang Guojin
(Department of Mathematics, Zhejiang University, Hangzhou, 310027; State key laboratory of CAD&CG, Zhejiang University, Hangzhou, 310027) |
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| Abstract: | Triangulation, subdivision and intersection of the surface are the basic and common operations in Computer Aided Design and computer graphics. A complicated surface can be approximated by some triangular patches. The key technique of this problem is the estimate of the approximate error, this work improves the previous result and obtains a new result. These results are valuable for improving the triangulation and subdivision algorithm of parametric surface in the design system. |
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| Keywords: | Parametric surfaces Triangulation Subdivision Approximation |
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