Distances with rational triangular Bézier surfaces

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


In this paper, we give the matrix form for the degree elevation of rational triangular Bézier surfaces. We use the L2 measure to find a formula for the distance between two rational triangular Bézier surfaces. A polynomial triangular Bézier surface approximation of a rational triangular Bézier surface based on the least-squares method is given. The final formulas contain only Bézier points and matrix of degree elevation.

Original languageEnglish
Pages (from-to)379-386
Number of pages8
JournalApplied Mathematics and Computation
Issue number2
Publication statusPublished - Jan 14 2005
Externally publishedYes


  • Computer aided geometric design
  • Degree raising
  • Generalized Bernstein polynomials
  • Rational triangular Bézier surfaces

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


Dive into the research topics of 'Distances with rational triangular Bézier surfaces'. Together they form a unique fingerprint.

Cite this