Improving Angular Speed Uniformity by C¹ Piecewise Reparameterization

Jing Yang 1 Dongming Wang 2 Hoon Hong 3
1 School of Mathematics and Systems Science
2 PolSys - Polynomial Systems
LIP6 - Laboratoire d'Informatique de Paris 6, Inria Paris-Rocquencourt
3 NCSU - Department of Mathematics [Raleigh]
Abstract : We show how to compute a C 1 piecewise-rational reparameterization that closely approximates to the arc-angle parameterization of any plane curve by C 1 piecewise Möbius transformation. By making use of the information provided by the first derivative of the angular speed function, the unit interval is partitioned such that the obtained reparameterization has high uniformity and continuous angular speed. An iteration process is used to refine the interval partition. Experimental results are presented to show the performance of the proposed method and the geometric behavior of the computed reparameterizations.
Type de document :
Communication dans un congrès
Tetsuo Ida; Jacques Fleuriot. ADG 2012 - 9th International Workshop Automated Deduction in Geometry, Sep 2012, Edinburgh, United Kingdom. Springer, ADG 2012: Automated Deduction in Geometry, 7993, pp.33-47, 2013, Lecture Notes in Computer Science. 〈10.1007/978-3-642-40672-0_3〉
Liste complète des métadonnées
https://hal.inria.fr/hal-00913415
Contributeur : Dongming Wang <>
Soumis le : mardi 3 décembre 2013 - 16:23:11
Dernière modification le : jeudi 22 novembre 2018 - 14:34:39

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Jing Yang, Dongming Wang, Hoon Hong. Improving Angular Speed Uniformity by C¹ Piecewise Reparameterization. Tetsuo Ida; Jacques Fleuriot. ADG 2012 - 9th International Workshop Automated Deduction in Geometry, Sep 2012, Edinburgh, United Kingdom. Springer, ADG 2012: Automated Deduction in Geometry, 7993, pp.33-47, 2013, Lecture Notes in Computer Science. 〈10.1007/978-3-642-40672-0_3〉. 〈hal-00913415〉

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