Taylor theorem for planar curves

Abedallah Rababah

doi:10.1090/S0002-9939-1993-1151815-2

Taylor theorem for planar curves

Abedallah Rababah

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

Abstract

We describe an approximation method for planar curves that significantly improves the standard rate obtained by local Taylor approximations. The method exploits the freedom in the choice of the parametrization and achieves the order 4m/3 where m is the degree of the approximating polynomial parametrization. Moreover, we show for a particular set of curves that the optimal rate 2m is possible.

Original language	English
Pages (from-to)	803-811
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	119
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1993-1151815-2
Publication status	Published - Nov 1993
Externally published	Yes

Keywords

Approximation order
Computer aided geometric design
Planar curves
Taylor polynomial

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-1993-1151815-2

Cite this

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title = "Taylor theorem for planar curves",

abstract = "We describe an approximation method for planar curves that significantly improves the standard rate obtained by local Taylor approximations. The method exploits the freedom in the choice of the parametrization and achieves the order 4m/3 where m is the degree of the approximating polynomial parametrization. Moreover, we show for a particular set of curves that the optimal rate 2m is possible.",

keywords = "Approximation order, Computer aided geometric design, Planar curves, Taylor polynomial",

author = "Abedallah Rababah",

year = "1993",

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AB - We describe an approximation method for planar curves that significantly improves the standard rate obtained by local Taylor approximations. The method exploits the freedom in the choice of the parametrization and achieves the order 4m/3 where m is the degree of the approximating polynomial parametrization. Moreover, we show for a particular set of curves that the optimal rate 2m is possible.

KW - Approximation order

KW - Computer aided geometric design

KW - Planar curves

KW - Taylor polynomial

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 3

ER -

Taylor theorem for planar curves

Abstract

Keywords

ASJC Scopus subject areas

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