Bounding Interval Rational Bézier Curves with Interval Polynomial Bézier Curves

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Permanent URL	http://hdl.lib.byu.edu/1877/2406
Title	Bounding Interval Rational Bézier Curves with Interval Polynomial Bézier Curves
BYU Creator	Sederberg, Thomas W.
Creator	Chen, Falai Lou, Wenping
Keywords	Bézier curve; bounding; hybrid; perturbation; linear programming
Description/Abstract	In this paper, we put forward and study the problem of bounding an interval rational Bézier curve with an interval polynomial Bézier curve. We propose three different methods—Hybrid Method, Perturbation Method and Linear Programming Method to solve this problem. Examples are illustrated to compare the three different methods. The empirical results show that the Perturbation Method and the Linear Programming Method produce much tighter bounds than the Hybrid Method, though they are computationally several times more expensive.
Source	Falai Chen, Thomas W. Sederberg and Wenping Lou, "Bounding interval rational Bézier curves with interval polynomial Bézier curves" Geometric modeling and processing 2000, IEEE Computer Society, 328-336, 2000.;
Publisher	IEEE
Date Original	2000
Date Digital	2010-09-02
Language	English eng en
Publication Type	Articles
Type	Text
Format	application/pdf
Owning Institution	Brigham Young University
BYU College	College of Physical and Mathematical Sciences
BYU Department	Computer Science
Copyright Status	(c) 2000 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.;
Copyright Use Information	http://www.lib.byu.edu/generic_copyright.html

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Bounding Interval Rational Bézier Curves with Interval Polynomial Bézier Curves

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