Fourier transform of Bernstein-Bezier polynomials

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:325

Article

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

关键词: Fourier transform;    Bernstein-Bezier polynomials;    minimal support;    quasi-minimal support;    refinement;   

DOI  :  10.1016/j.jmaa.2006.01.072

来源: Elsevier

【 摘 要 】

Explicit formulae, in terms of Bernstein-Bezier 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. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free