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 Scopus citations


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
Issue number4
StatePublished - Dec 1987



  • Octant
  • rational Bézier triangles
  • stereographic projection

ASJC Scopus subject areas

  • Modeling and Simulation
  • Automotive Engineering
  • Aerospace Engineering
  • Computer Graphics and Computer-Aided Design

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