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Improving Angular Speed Uniformity by Piecewise Radical Reparameterization

  • Hoon Hong
  • , Dongming Wang
  • , Jing Yang*
  • *Corresponding author for this work
  • North Carolina State University
  • Guangxi Minzu University

Research output: Contribution to journalConference articlepeer-review

Abstract

For a rational parameterization of a curve, it is desirable that its angular speed is as uniform as possible. Hence, given a rational parameterization, one wants to find re-parameterization with better uniformity. One natural way is to use piecewise rational reparameterization. However, it turns out that the piecewise rational reparameterization does not help when the angular speed of the given rational parameterization is zero at some points on the curve. In this paper, we show how to overcome the challenge by using piecewise radical reparameterization.

Original languageEnglish
Pages (from-to)165-178
Number of pages14
JournalElectronic Proceedings in Theoretical Computer Science, EPTCS
Volume398
DOIs
StatePublished - 22 Jan 2024
Event14th International Conference on Automated Deduction in Geometry, ADG 2023 - Belgrade, Serbia
Duration: 20 Sep 202322 Sep 2023

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