Improving Angular Speed Uniformity by Optimal C⁰ Piecewise Reparameterization

Abstract : We adapt the C° piecewise Möbius transformation to compute a C° 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.
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Conference papers
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https://hal.inria.fr/hal-00779259
Contributor : Dongming Wang <>
Submitted on : Monday, January 21, 2013 - 9:49:27 PM
Last modification on : Thursday, March 21, 2019 - 1:12:39 PM

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

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