An abstract formulation of variational refinement
type: Item
instance of: scholarly article
title: An abstract formulation of variational refinement
zbMATH Open document ID: 1074.41010
author: Scott N. Kersey
published in: Journal of Approximation Theory
publication date: 2005-02-22T00:00:00Z
review text: The author develops an abstract approach to variational refinement of closed (periodic) curves that meet arbitrary convex constraints. Using closed-periodic piecewise linear (B-spline) curves he combines the abstract spline theory with near-interpolatory refinement techniques. The characterization, existence and uniqueness of the solutions are investigated in a general framework, and it is applied to the discretized thin beam and interval weighted splines.
Mathematics Subject Classification ID: 41A29
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 2137002
zbMATH Keywords: variational refinement
zbMATH Keywords: subdivisions
zbMATH Keywords: abstract splines
reviewed by: Margit Lenard
MaRDI profile type: Publication
full work available at URL: j.jat.2004.07.006
OpenAlex ID: W2088165157
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DOI: 10.1016/J.JAT.2004.07.006
description: scientific article; zbMATH DE number 2137002