Conversion of Dupin cyclide patches into rational biquadratic Bézier form

Sebti Foufou, Lionel Garnier, Michael J. Pratt

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper uses the symmetry properties of circles and Bernstein polynomials to establish a series of interesting barycentric properties of rational biquadratic Bézier patches. A robust algorithm is presented, based on these properties, for the conversion of Dupin cyclide patches into Bézier form. A set of conversion examples illustrates the use of this algorithm.

Original languageEnglish (US)
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages201-218
Number of pages18
DOIs
StatePublished - Dec 1 2005
Event11th IMA International Conference - Mathematics of Surfaces XI - Loughborough, United Kingdom
Duration: Sep 5 2005Sep 7 2005

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3604 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other11th IMA International Conference - Mathematics of Surfaces XI
CountryUnited Kingdom
CityLoughborough
Period9/5/059/7/05

Fingerprint

Dupin cyclide
Patch
Centrobaric
Bernstein Polynomials
Robust Algorithm
Polynomials
Circle
Symmetry
Series
Form

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Foufou, S., Garnier, L., & Pratt, M. J. (2005). Conversion of Dupin cyclide patches into rational biquadratic Bézier form. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (pp. 201-218). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3604 LNCS). https://doi.org/10.1007/11537908_12

Conversion of Dupin cyclide patches into rational biquadratic Bézier form. / Foufou, Sebti; Garnier, Lionel; Pratt, Michael J.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2005. p. 201-218 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3604 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Foufou, S, Garnier, L & Pratt, MJ 2005, Conversion of Dupin cyclide patches into rational biquadratic Bézier form. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3604 LNCS, pp. 201-218, 11th IMA International Conference - Mathematics of Surfaces XI, Loughborough, United Kingdom, 9/5/05. https://doi.org/10.1007/11537908_12
Foufou S, Garnier L, Pratt MJ. Conversion of Dupin cyclide patches into rational biquadratic Bézier form. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2005. p. 201-218. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/11537908_12
Foufou, Sebti ; Garnier, Lionel ; Pratt, Michael J. / Conversion of Dupin cyclide patches into rational biquadratic Bézier form. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2005. pp. 201-218 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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