文章基本信息

标题：Approximation of minimal toric Bézier patch
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作者：Lan-Yin Sun ; Chun-Gang Zhu
期刊名称：Advances in Mechanical Engineering
印刷版ISSN：1687-8140
电子版ISSN：1687-8140
出版年度：2016
卷号：8
期号：6
DOI：10.1177/1687814016654667
语种：English
出版社：Sage Publications Ltd.
摘要：Toric Bézier patches are a multi-sided generalization of classical rational Bézier patches which are widely used in free-form surface modeling. In this article, we study the problem of finding the patch with minimal area among all possible toric Bézier patches with the given boundaries, that is, the Plateau–toric Bézier problem, and obtain an approximation of minimal toric Bézier patch. Some representative examples are given to verify our results.
关键词：Toric Bézier patch; minimal surface; Dirichlet functional