The octant of a sphere as a non-degenerate triangular Bézier patch

G. Farin, B. Piper, A. J. Worsey

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

We construct a symmetric rational quartic map from the standard triangle onto an octant of a sphere. The surface is non-degenerate: all Bézier points are distinct and their associated weights are positive.

Original languageEnglish (US)
Pages (from-to)329-332
Number of pages4
JournalComputer Aided Geometric Design
Volume4
Issue number4
DOIs
StatePublished - 1987

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Quartic
Patch
Triangular
Triangle
Distinct
Standards

Keywords

  • Octant
  • rational Bézier triangles
  • stereographic projection

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Geometry and Topology
  • Modeling and Simulation

Cite this

The octant of a sphere as a non-degenerate triangular Bézier patch. / Farin, G.; Piper, B.; Worsey, A. J.

In: Computer Aided Geometric Design, Vol. 4, No. 4, 1987, p. 329-332.

Research output: Contribution to journalArticle

Farin, G. ; Piper, B. ; Worsey, A. J. / The octant of a sphere as a non-degenerate triangular Bézier patch. In: Computer Aided Geometric Design. 1987 ; Vol. 4, No. 4. pp. 329-332.
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