Improved error estimate for extraordinary Catmull–Clark subdivision surface patches

被引：1

作者：

Zhangjin Huang

Guoping Wang

机构：

[1] Peking University,School of Electronic Engineering and Computer Science

[2] Ministry of Education,Key Laboratory of High Confidence Software Technologies

来源：

The Visual Computer | 2007年 / 23卷

关键词：

Catmull–Clark subdivision surfaces; Error estimate; Subdivision depth; Adaptive subdivision;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Based on an optimal estimate of the convergence rate of the second order norm, an improved error estimate for extraordinary Catmull–Clark subdivision surface (CCSS) patches is proposed. If the valence of the extraordinary vertex of an extraordinary CCSS patch is even, a tighter error bound and, consequently, a more precise subdivision depth for a given error tolerance, can be obtained. Furthermore, examples of adaptive subdivision illustrate the practicability of the error estimation approach.

引用

页码：1005 / 1014

页数：9

共 8 条

[1]

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[2]

Clark J.(2006)Subdivision depth computation for Catmull-Clark subdivision surfaces Comput. Aided Des. Appl. 3 485-494

[3]

Cheng F.(1978)Behaviour of recursive subdivision surfaces near extraordinary points Comput. Aided Des. 10 356-360

[4]

Yong J.(2001)Tight linear envelopes for splines Numer. Math. 89 735-748

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