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.
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Yang, J., Wang, D., Hong, H. (2012). Improving Angular Speed Uniformity by Optimal C 0 Piecewise Reparameterization. In: Gerdt, V.P., Koepf, W., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2012. Lecture Notes in Computer Science, vol 7442. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32973-9_29
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DOI: https://doi.org/10.1007/978-3-642-32973-9_29
Publisher Name: Springer, Berlin, Heidelberg
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