On convolutions of \(B\)-splines
type: Item
instance of: scholarly article
title: On convolutions of \(B\)-splines
zbMATH Open document ID: 0830.65006
DOI: 10.1016/0377-0427(94)90182-1
author: Kyrre Strøm
published in: Journal of Computational and Applied Mathematics
publication date: 1995-05-28T00:00:00Z
review text: The main subject of this paper is the convolution of spline functions. In particular, the author gives an expression for the convolution of a spline over nonuniform knots with \(B\)-splines as a linear combination of \(B\)-splines of higher order. The coefficients are expressed in terms of divided differences and can be evaluated by a stable recurrence relation. Convolutions of multidimensional splines by tensor-product \(B\)-splines, box-splines and simplex splines are also considered.
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 758540
zbMATH Keywords: shape-preserving approximation
zbMATH Keywords: convolution of spline functions
zbMATH Keywords: divided differences
zbMATH Keywords: recurrence relation
zbMATH Keywords: tensor-product \(B\)-splines
zbMATH Keywords: box- splines
zbMATH Keywords: simplex splines
reviewed by: Borislav D. Bojanov
MaRDI profile type: Publication
full work available at URL: 0377-0427(94)90182-1
OpenAlex ID: W2033319410
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description: scientific article; zbMATH DE number 758540