Construction of rational curves with rational rotation-minimizing frames via Möbius transformations

Michael Barton*, Bert Jüttler, Wenping Wang

*Corresponding author for this work

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

13 Scopus citations

Abstract

We show that Möbius transformations preserve the rotation-minimizing frames which are associated with space curves. In addition, these transformations are known to preserve the class of rational Pythagorean- hodograph curves and rational frames. Based on these observations we derive an algorithm for G 1 Hermite interpolation by rational Pythagorean-hodograph curves with rational rotation-minimizing frames.

Original languageEnglish (US)
Title of host publicationMathematical Methods for Curves and Surfaces - 7th International Conference, MMCS 2008, Revised Selected Papers
Pages15-25
Number of pages11
DOIs
StatePublished - Apr 1 2010
Event7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2008 - Tonsberg, Norway
Duration: Jun 26 2008Jul 1 2008

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5862 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2008
CountryNorway
CityTonsberg
Period06/26/0807/1/08

Keywords

  • Möbius transformations
  • Pythagorean-hodograph curve
  • Rational rotation-minimizing frame

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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