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Catmull-Clark细分曲面的误差分析
Error Analysis for Catmull-Clark Subdivision Surfaces

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Catmull-Clark细分曲面的误差分析.pdf (128.1Kb)
Date
2004-01-30
Author
曾晓明
杨军
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  • 数学科学-已发表论文 [2662]
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Abstract
运用引入相邻点的方法和计算控制点的一阶差分的新的技术,研究Catmull Clark曲面细分过程的误差估计问题.证明了Catmull Clark曲面的控制网格按指数速率收敛于极限曲面;并给出关于Catmull Clark曲面误差估计的一个计算公式.本文的技术亦可适用于Doo Sabin曲面等细分曲面.
 
This paper studies error estimate of Catmull-Clark subdivision surfaces. The authors prove that the control polyhedron of Catmull-Clark surface converge to its limit surface in an exponential rate, and give a computing formula for error estimate of Catmull-Clark surfaces by using new methods of neighbor points of control points and first order difference of control points. The technique of this paper can be generalized to Doo-Sabin surfaces and other free form surfaces.
 
Citation
厦门大学学报(自然科学版),2004,(01):7-9
URI
https://dspace.xmu.edu.cn/handle/2288/154930

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