正则环细分曲面上的精确界

Guorong Zhou, Yuhua Zhang, Mingming Shan, Youzhi Wang, Yaohan Zhang, Xiao-Ming Zeng
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引用次数: 0

摘要

提出了一种区域划分算法,并对规则环细分曲面的基函数进行了计算。通过该算法,我们得到了规则环路细分曲面块与其控制网格之间的精确边界。该边界由控制顶点的一阶差的最大欧几里德范数给出。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An exact bound on regular Loop subdivision surface
We propose an algorithm of region division and computations for the basis functions of regular Loop subdivision surface. By means of this algorithm we obtain an exact bound between regular Loop subdivision surface patch and its control mesh. The bound is given by maximum Euclidean norm of the first differences of the control vertices of the surface patch.
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