Surface design using locally interpolating subdivision schemes
type: Item
instance of: scholarly article
title: Surface design using locally interpolating subdivision schemes
zbMATH Open document ID: 0963.65022
author: A. Levin
published in: Journal of Approximation Theory
publication date: 2001-06-19T00:00:00Z
review text: The author constructs several non-uniform subdisivision schemes, that generate limit surfaces interpolating some of the original points only. This is done by applying a non-interpolatory subdivision scheme almost everywhere, except for areas around special control points where another local stencil is used. It is shown how to modify known subdivision schemes so that the limit surfaces generated by them interpolate given normal vectors at given interpolation points.
reviewed by: Antonio López-Carmona
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D05
zbMATH DE Number: 1455760
zbMATH Keywords: interpolation
zbMATH Keywords: subdivision schemes
zbMATH Keywords: surface design
MaRDI profile type: Publication
full work available at URL: jath.1999.3444
OpenAlex ID: W1991824744
cites work: Stationary subdivision
cites work: Box splines
cites work: Q4026009
cites work: A butterfly subdivision scheme for surface interpolation with tension control
cites work: Analysis of uniform binary subdivision schemes for curve design
cites work: Q3488625
cites work: Multidimensional Interpolatory Subdivision Schemes
cites work: Subdivision Schemes Determined by Coefficients of a Hurwitz Polynomial
DOI: 10.1006/JATH.1999.3444
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description: scientific article; zbMATH DE number 1455760