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Electronic Proceedings in Theoretical Computer Science
Article . 2024 . Peer-reviewed
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arXiv.org e-Print Archive
Preprint . 2024
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Improving Angular Speed Uniformity by Piecewise Radical Reparameterization

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 22 Jan 2024 English Publisher:Open Publishing AssociationJournal:Electronic Proceedings in Theoretical Computer Science, volume 398, pages 165-178 (eissn: 2075-2180, Copyright policy )Funded by:NSF | AF: Small: Collaborative ...
Authors: Hong, Hoon; Wang, Dongming; Yang, Jing;

doi: 10.4204/eptcs.398.19

arXiv: 2401.11910

Improving Angular Speed Uniformity by Piecewise Radical Reparameterization

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.

Comment: In Proceedings ADG 2023, arXiv:2401.10725

Related Organizations
Keywords

I.3.3, I.3.5, Computer Science - Computational Geometry

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
gold