Fourier transform of Bernstein–Bézier polynomials

Tian-Xiao He, Charles K. Chui, Qingtang Jiang

Research output: Journal ArticleArticlepeer-review


Explicit formulae, in terms of Bernstein–Bézier coefficients, of the Fourier transform of bivariate polynomials on a triangle and univariate polynomials on an interval are derived in this paper. Examples are given and discussed to illustrate the general theory. Finally, this consideration is related to the study of refinement masks of spline function vectors.

Original languageAmerican English
JournalJournal of Mathematical Analysis and Applications
StatePublished - 2007


  • Fourier transform
  • Bernstein-B´ezier polynomials
  • minimal support
  • quasi-minimal support
  • refinement.


  • Applied Mathematics
  • Mathematics

Cite this