A New Piecewise Rational Reparameterization Method

Feng Hua Guo

doi:10.4028/www.scientific.net/AMR.734-737.3057

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 734-737A New Piecewise Rational Reparameterization Method

A New Piecewise Rational Reparameterization Method

Abstract:

A new piecewise rational re-parameterization of a polynomial curve is presented. The method relies on a parametric polygonal decomposition method. With the proposed piecewise rational re-parameterization method, the optimal parameterization can be reached, and the optimal parameterizations asymptotic convergence to the arc-length parameterization is analyzed. Computing instances demonstrates the efficiency of the proposed method.

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Periodical:

Advanced Materials Research (Volumes 734-737)

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3057-3060

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https://doi.org/10.4028/www.scientific.net/AMR.734-737.3057

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Online since:

August 2013

Authors:

Feng Hua Guo*

Keywords:

Arc-Length Parameterization, Rational Parameterization, Unit Speed

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* - Corresponding Author

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