ImUp: A Maple Package for Uniformity-Improved Reparameterization of Plane Curves

Jing Yang (), Dongming Wang () and Hoon Hong ()
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Jing Yang: Beihang University, LMIB – School of Mathematics and Systems Science
Dongming Wang: CNRS – Université Pierre et Marie Curie, Laboratoire D’Informatique de Paris 6
Hoon Hong: North Carolina State University, Department of Mathematics

A chapter in Computer Mathematics, 2014, pp 437-451 from Springer

Abstract: Abstract We present a software package for computing piecewise rational reparameterizations of parametric plane curves, which have improved uniformities of angular speed. The package ImUp is implemented in Maple on the basis of some recently developed algorithms of reparameterization using piecewise Möbius transformations. We discuss some implementation issues and illustrate the capability and performance of the public functions of ImUp with examples and experiments. It is shown that the quality of plots of plane curves may be effectively improved by means of reparameterization using ImUp.

Keywords: Parametric plane curve; Angular speed uniformity; Möbius transformation; ImUp package; Piecewise reparameterization (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-43799-5_29

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DOI: 10.1007/978-3-662-43799-5_29

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