Rational Bezier form of hodographs of rational Bezier curves and surfaces

被引：5

作者：

Kim, DS

Jang, T

Shin, H

Park, JY

机构：

[1] Hanyang Univ, Dept Ind Engn, Sungdong Ku, Seoul 133791, South Korea

[2] Chrysler Corp, Tech Comp Ctr, Auburn Hills, MI USA

[3] Dongguk Univ, Dept Ind Engn, Seoul, South Korea

来源：

COMPUTER-AIDED DESIGN | 2001年 / 33卷 / 04期

关键词：

derivative; rational Bezier curve and surface; hodograph;

D O I：

10.1016/S0010-4485(00)00091-9

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

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. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：321 / 330

页数：10

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