Degree reduction of triangular Bézier surfaces with Cα-vertices

Research output: Contribution to journalArticlepeer-review


The issue of Cα-degree reduction of triangular Bézier surfaces is exposed. It is anticipated that both triangular Bézier surfaces are Cα-continuous at the vertices. The Euclidean norm as well as the L2-norm is used. The final solutions are given in terms of the matrix of degree raising, the Gram matrix, and the Bézier points. Moreover, it is shown that the solutions using both norms are equivalent.

Original languageEnglish
Pages (from-to)1055-1066
Number of pages12
JournalInternational Journal of Mathematical Analysis
Issue number21-24
Publication statusPublished - 2010
Externally publishedYes


  • Bivariate Bernstein polynomials
  • Cα-continuity
  • Cα-degree reduction
  • Triangular Bézier surfaces

ASJC Scopus subject areas

  • General Mathematics


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