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

In: Computer Mathematics

Author

Listed:
  • 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)

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.

Suggested Citation

  • Jing Yang & Dongming Wang & Hoon Hong, 2014. "ImUp: A Maple Package for Uniformity-Improved Reparameterization of Plane Curves," Springer Books, in: Ruyong Feng & Wen-shin Lee & Yosuke Sato (ed.), Computer Mathematics, edition 127, pages 437-451, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-43799-5_29
    DOI: 10.1007/978-3-662-43799-5_29
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