Distance for degree raising and reduction of triangular Bézier surfaces

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26 Citations (Scopus)

Abstract

The problem of degree reduction and degree raising of triangular Bézier surfaces is considered. The L2 and l2 measures of distance combined with the least-squares method are used to get a formula for the Bézier points. The methods use the matrix representations of the degree reduction and degree raising.

Original languageEnglish
Pages (from-to)233-241
Number of pages9
JournalJournal of Computational and Applied Mathematics
Volume158
Issue number2
DOIs
Publication statusPublished - Sep 15 2003
Externally publishedYes

Keywords

  • Computer-aided geometric design
  • Degree raising
  • Degree reduction
  • Generalized Bernstein polynomials
  • Triangular Bézier surfaces

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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