Recursive Formulae for Hermite Polynomial Approximations to Rational Bézier Curves

Authors:
Ligang Liu;Guojin Wang
Affiliations:
-;-
Venue:
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
Year:
2000

Citing 0
Cited 4

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Approximating uniform rational B-spline curves by polynomial B-spline curves

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Abstract

This paper presents the algorithms for calculating the control points of Hermite polynomial approximation to rational Bézier curves and the recursive formulae between different degrees Hermite polynomial approximations based on the close relationship between hybrid polynomial approximation and Hermite polynomial approximation. The error bound for the Hermite polynomial approximation is also obtained.