Article
Fourier transform of Bernstein–Bézier polynomials
Journal of Mathematical Analysis and Applications
(2007)
Abstract
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.
Keywords
- Fourier transform,
- Bernstein-B´ezier polynomials,
- minimal support,
- quasi-minimal support,
- refinement.
Disciplines
Publication Date
2007
Publisher Statement
The Journal of Mathematical Analysis and Applications is published by Elsevier, http://www.journals.elsevier.com/journal-of-mathematical-analysis-and-applications/.
Citation Information
Tian-Xiao He, Charles K. Chui and Qingtang Jiang. "Fourier transform of Bernstein–Bézier polynomials" Journal of Mathematical Analysis and Applications Vol. 325 (2007) Available at: http://works.bepress.com/qingtang-jiang/31/