Pseudoaffinity, de Boor algorithm, and blossoms
type: Item
instance of: scholarly article
title: Pseudoaffinity, de Boor algorithm, and blossoms
zbMATH Open document ID: 1122.65019
author: Marie-Laurence Mazure
published in: Advances in Computational Mathematics
publication date: 2007-04-26T00:00:00Z
review text: Several theorems dealing with the question if symmetry, \(n\)-pseudoaffinity and diagonal property imply the existence of blossoms are given. The main result states, under assumption of ability to associate with any spline a function of \(n\)-variables, defined on the set of admissible \(n\)-tuples, that is symmetric, \(n\)-pseudoaffine, and that has diagonal and differentiability property, that blossoms exist in the spline space defined on the set of admissible \(n\)-tuples.
reviewed by: Ljubiša Kocić
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 5146137
zbMATH Keywords: B-spline bases
zbMATH Keywords: blossoming
zbMATH Keywords: Chebyshev spaces
zbMATH Keywords: Chebyshev splines
zbMATH Keywords: geometric design
zbMATH Keywords: pseudoaffinity
MaRDI profile type: Publication
full work available at URL: s10444-005-7450-0
OpenAlex ID: W2086462976
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DOI: 10.1007/S10444-005-7450-0
description: scientific article; zbMATH DE number 5146137