Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations
type: Item
instance of: scholarly article
title: Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations
zbMATH Open document ID: 1264.41014
author: Hendrik Speleers
published in: Constructive Approximation
publication date: 2013-03-04T00:00:00Z
review text: Piecewise polynomial splines in two dimensions are considered with given smoothness and polynomial degree, being \(r\) and \(3r-1\), respectively. The piecewise structure is defined on a triangulation and the refinement takes place using the Powell-Sabin split. Among other results, efficient and stable methods for computing Bernstein-Bézier forms are derived, normalised Powell-Sabin B-splines are considered and practical issues are discussed.
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 6141006
zbMATH Keywords: smooth Powell-Sabin splines
zbMATH Keywords: normalized B-splines
zbMATH Keywords: macro-elements
zbMATH Keywords: control points
zbMATH Keywords: control polynomials
zbMATH Keywords: Bernstein-Bézier form
reviewed by: Martin D. Buhmann
MaRDI profile type: Publication
full work available at URL: s00365-011-9151-x
OpenAlex ID: W2069851814
cites work: Q3139555
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DOI: 10.1007/S00365-011-9151-X
description: scientific article; zbMATH DE number 6141006