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Distance for Bézier curves and degree reduction

Published online by Cambridge University Press:  17 April 2009

Byung-Gook Lee  and
Yunbeom Park
Byung-Gook Lee
Affiliation:
Department of Applied MathematicsDongseo UniversityPusan, 617–716Korea
Yunbeom Park
Affiliation:
Department of Mathematics EducationSeowon UniversityChongju, 361–742Korea
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Abstract

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An algorithmic approach to degree reduction of Bézier curves is presented. The algorithm is based on the matrix representations of the degree elevation and degree reduction processes. The control points of the approximation are obtained by the generalised least squares method. The computations are carried out by minimising the L2 and discrete l2 distance between the two curves.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 56 , Issue 3 , December 1997 , pp. 507 - 515
Copyright
Copyright © Australian Mathematical Society 1997

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