Injectivity conditions of rational Bezier surfaces

Zhao Xuan-Yi; Zhu Chun-Gang

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Injectivity conditions of rational Bezier surfaces

机译：有理Bezier曲面的内射条件

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摘要

Rational Bezier surface is a common fitting tool in Computer Aided Geometric Design. The injectivity of curve/surface implies the one-to-one property and there is no self-intersection of curve/surface. In this paper, we propose a geometric method for checking the injectivity of rational Bezier surface based on its control points. (C) 2015 Elsevier Ltd. All rights reserved.

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来源
《Computers & Graphics》 |2015年第10期|17-25|共9页
作者
Zhao Xuan-Yi; Zhu Chun-Gang;
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作者单位

Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China;

Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Rational Bezier surface; Injectivity; Self-intersection;

机译：有理Bezier曲面;内射性;自相交;

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Injectivity conditions of rational Bezier surfaces

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