Rational bezier form of hodographs of rational bezier curves and surfaces

D. -S. Kim; T. Jang; H. Shin; J. Y. Park

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Rational bezier form of hodographs of rational bezier curves and surfaces

机译：有理贝塞尔曲线和曲面的全息图的有理贝塞尔曲线形式

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Applications of rational Bezier curves or surfaces often require the computation of derivatives. Even though there are several algorithms or representations for the derivatives of rational Bezier curves or surfaces, their advantages and disadvantages have not been explicitly discussed from the viewpoint of computational requirements. This paper presents the representation of the hodographs of rational Bezier curves and surfaces in rational Bezier curves and surfaces with appropriate degrees. In addition, this paper presents the evaluation of the performances of different representations.

机译：有理贝塞尔曲线或曲面的应用通常需要计算导数。即使有理贝塞尔曲线或曲面的导数有几种算法或表示形式，但从计算要求的角度来看，它们的优缺点尚未得到明确讨论。本文介绍了有理贝塞尔曲线和曲面在具有适当度数的情况下的象形图表示。此外，本文还介绍了不同表示形式的性能评估。

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《Computer-Aided Design》 |2001年第4期|共10页
作者
D. -S. Kim; T. Jang; H. Shin; J. Y. Park;
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原文格式 PDF
正文语种 eng
中图分类计算机的应用;
关键词
Derivative; Rational bezier curve and surface; Hodograph;

机译：导数;有理贝塞尔曲线和曲面;Hodograph;

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1. Rational bezier form of hodographs of rational bezier curves and surfaces [J] . D. -S. Kim, T. Jang, H. Shin, Computer-Aided Design . 2001,第4期

机译：有理贝塞尔曲线和曲面的全息图的有理贝塞尔曲线形式
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Rational bezier form of hodographs of rational bezier curves and surfaces

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