On transfinite interpolations with respect to convex domains
type: Item
instance of: scholarly article
title: On transfinite interpolations with respect to convex domains
zbMATH Open document ID: 1215.65026
published in: Computer Aided Geometric Design
publication date: 2011-03-22T00:00:00Z
review text: A compact formula for generating transfinite interpolants on convex domains (polytopes) is presented. It is based on Coons map and on barycentric blending functions. The interpolants are proved to be affinely stable in a second theorem. Thereby, an improvement over the usual approaches (e.g. with tensor products) is obtained. Some practical examples are presented as well.
reviewed by: Martin D. Buhmann
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 5869142
zbMATH Keywords: transfinite interpolation
zbMATH Keywords: hyperplane arrangement
zbMATH Keywords: polytope
zbMATH Keywords: numerical examples
zbMATH Keywords: Coons map
zbMATH Keywords: barycentric blending functions
author: H. Maharavo Randrianarivony
MaRDI profile type: Publication
full work available at URL: j.cagd.2010.10.003
OpenAlex ID: W2031357298
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DOI: 10.1016/J.CAGD.2010.10.003
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description: scientific article; zbMATH DE number 5869142