Curvature monotony condition for rational quadratic B-spline curves

  • Zhong Li*
  • , Lizhuang Ma
  • , Dereck Meek
  • , Wuzheng Tan
  • , Zhihong Mao
  • , Mingxi Zhao
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations

Abstract

The monotone curvature condition for rational quadratic B-spline curves is studied in this paper. At first, we present the necessary and sufficient conditions of monotone curvature for the uniform rational quadratic B-spline segment and we compare it to the curvature condition of rational quadratic Bezier curve. Then, we give the sufficient condition of monotone curvature for the nonuniform rational quadratic B-spline segment. At last, we obtain the condition of monotone curvature for general rational quadratic B-spline curves with any number of control points.

Original languageEnglish
Title of host publicationComputational Science and Its Applications - ICCSA 2006
Subtitle of host publicationInternational Conference, Proceedings - Part I
PublisherSpringer Verlag
Pages1118-1126
Number of pages9
ISBN (Print)354034070X, 9783540340706
DOIs
StatePublished - 2006
Externally publishedYes
EventICCSA 2006: International Conference on Computational Science and Its Applications - Glasgow, United Kingdom
Duration: 8 May 200611 May 2006

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3980 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceICCSA 2006: International Conference on Computational Science and Its Applications
Country/TerritoryUnited Kingdom
CityGlasgow
Period8/05/0611/05/06

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