Improving Angular Speed Uniformity by C¹ Piecewise Reparameterization - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2013

Improving Angular Speed Uniformity by C¹ Piecewise Reparameterization

Dongming Wang
  • Fonction : Auteur
  • PersonId : 835371
Hoon Hong
  • Fonction : Auteur
  • PersonId : 935617

Résumé

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.

Dates et versions

hal-00913415 , version 1 (03-12-2013)

Identifiants

Citer

Jing Yang, Dongming Wang, Hoon Hong. Improving Angular Speed Uniformity by C¹ Piecewise Reparameterization. ADG 2012 - 9th International Workshop Automated Deduction in Geometry, Sep 2012, Edinburgh, United Kingdom. pp.33-47, ⟨10.1007/978-3-642-40672-0_3⟩. ⟨hal-00913415⟩
90 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More