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Approximate conversion of Bézier curves

Published online by Cambridge University Press:  17 April 2009

Yungeom Park ,
U Jin Choi  and
Ha-Jine Kimn
Yungeom Park
Affiliation:
Department of Mathematics Korea AdvancedInstitute of Science and TechnologyGu-sung Dong, Yu-sung Gu Taejon 305-701 Republic of Korea
U Jin Choi
Affiliation:
Department of MathematicsKorea Advanced Institute of Science and TechnologyGu-sung Dong, Yu-sung Gu Taejon 305-701 Republic of Korea
Ha-Jine Kimn
Affiliation:
Department of Computer ScienceA-Jou UniversitySuwon Republic of Korea
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Abstract

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The methods for generating a polynomial Bézier approximation of degree n − 1 to an nth degree Bézier curve, and error analysis, are presented. The methods are based on observations of the geometric properties of Bézier curves. The approximation agrees at the two endpoints up to a preselected smoothness order. The methods allow a detailed error analysis, providing a priori bounds of the point-wise approximation error. The error analysis for other authors’ methods is also presented.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 51 , Issue 1 , February 1995 , pp. 153 - 162
Copyright
Copyright © Australian Mathematical Society 1995

References

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