Fourier transform of Bernstein--Bézier polynomials
type: Item
instance of: scholarly article
title: Fourier transform of Bernstein--Bézier polynomials
zbMATH Open document ID: 1166.42004
author: Tian-Xiao He
author: Qingtang Jiang
author: Charles K. Chui
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-12-07T00:00:00Z
review text: This paper gives the explicit formulae of the Fourier transform of bivariate polynomials on a triangle and univariate polynomials on an interval in terms of Bernstein-Bézier coefficients. Some applications to refinable bivariate splines on triangles. In fact it gives the Fourier transform approach to computing subdivision (or refinement) masks.
Mathematics Subject Classification ID: 42A38
Mathematics Subject Classification ID: 33C15
zbMATH DE Number: 5078926
zbMATH Keywords: Fourier transform
zbMATH Keywords: Bernstein-Bézier polynomials
zbMATH Keywords: minimal support
zbMATH Keywords: quasi-minimal support
zbMATH Keywords: refinement
reviewed by: Lizhong Peng
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.01.072
OpenAlex ID: W2001362536
cites work: Stationary subdivision
cites work: On minimal and quasi-minimal supported bivariate splines
cites work: Q3198776
cites work: Q4440834
cites work: Surface subdivision schemes generated by refinable bivariate spline function vectors
cites work: Refinable bivariate quartic $C^2$-splines for multi-level data representation and surface display
cites work: Refinable bivariate quartic and quintic \(C^{2}\)-splines for quadrilateral subdivisions
cites work: Q4515165
DOI: 10.1016/J.JMAA.2006.01.072
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description: scientific article; zbMATH DE number 5078926