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Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.9 P.1561-1565


Rational offset approximation of rational Bézier curves

Author(s):  CHENG Min, WANG Guo-jin

Affiliation(s):  Department of Mathematics, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   gjwang@hzcnc.com

Key Words:  Rational Bé, zier curve, Parametric speed, Offset, Rational approximation

CHENG Min, WANG Guo-jin. Rational offset approximation of rational Bézier curves[J]. Journal of Zhejiang University Science A, 2006, 7(9): 1561-1565.

@article{title="Rational offset approximation of rational Bézier curves",
author="CHENG Min, WANG Guo-jin",
journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T Rational offset approximation of rational Bézier curves
%A WANG Guo-jin
%J Journal of Zhejiang University SCIENCE A
%V 7
%N 9
%P 1561-1565
%@ 1673-565X
%D 2006
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.A1561

T1 - Rational offset approximation of rational Bézier curves
A1 - CHENG Min
A1 - WANG Guo-jin
J0 - Journal of Zhejiang University Science A
VL - 7
IS - 9
SP - 1561
EP - 1565
%@ 1673-565X
Y1 - 2006
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2006.A1561

The problem of parametric speed approximation of a rational curve is raised in this paper. offset curves are widely used in various applications. As for the reason that in most cases the offset curves do not preserve the same polynomial or rational polynomial representations, it arouses difficulty in applications. Thus approximation methods have been introduced to solve this problem. In this paper, it has been pointed out that the crux of offset curve approximation lies in the approximation of parametric speed. Based on the Jacobi polynomial approximation theory with endpoints interpolation, an algebraic rational approximation algorithm of offset curve, which preserves the direction of normal, is presented.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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