Improving Angular Speed Uniformity by Optimal C⁰ Piecewise Reparameterization

Jing Yang Dongming Wang 1, 2 Hoon Hong
2 PolSys - Polynomial Systems
LIP6 - Laboratoire d'Informatique de Paris 6, Inria Paris-Rocquencourt
Abstract : We adapt the C 0 piecewise Möbius transformation to compute a C 0 piecewise-rational reparameterization of any plane curve that approximates to the arc-angle parameterization of the curve. The method proposed on the basis of this transformation can achieve highly accurate approximation to the arc-angle parameterization. A mechanism is developed to optimize the transformation using locally optimal partitioning of the unit interval. Experimental results are provided to show the effectiveness and efficiency of the reparameterization method.
Type de document :
Communication dans un congrès
14th International Workshop on Computer Algebra in Scientific Computing, Sep 2012, Maribor, Slovenia. Springer, 7442, pp.349-360, 2012, Lecture Notes in Computer Science. <10.1007/978-3-642-32973-9_29>
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https://hal.inria.fr/hal-00779259
Contributeur : Dongming Wang <>
Soumis le : lundi 21 janvier 2013 - 21:49:27
Dernière modification le : mardi 20 septembre 2016 - 01:04:09

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Jing Yang, Dongming Wang, Hoon Hong. Improving Angular Speed Uniformity by Optimal C⁰ Piecewise Reparameterization. 14th International Workshop on Computer Algebra in Scientific Computing, Sep 2012, Maribor, Slovenia. Springer, 7442, pp.349-360, 2012, Lecture Notes in Computer Science. <10.1007/978-3-642-32973-9_29>. <hal-00779259>

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