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Approximate conversion of Bézier curves
Published online by Cambridge University Press: 17 April 2009
Abstract
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
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