Scattered data interpolation subject to piecewise quadratic range restrictions
type: Item
instance of: scholarly article
title: Scattered data interpolation subject to piecewise quadratic range restrictions
zbMATH Open document ID: 0861.65009
DOI: 10.1016/0377-0427(96)00044-1
author: Matthias Herrmann
author: Bernd Mulansky
author: Jochen W. Schmidt
published in: Journal of Computational and Applied Mathematics
publication date: 1997-05-19T00:00:00Z
review text: The authors describe the construction of univariate and bivariate \(C^1\) interpolants to scattered data in the case where the range of the interpolant is restricted a priori by lower and upper obstacles given as piecewise quadratic functions. This is, indeed, a realistic assumption in many applications and the problem of nonnegative interpolation can be seen as a special case of this. In many important cases the resulting systems are shown to be solvable. The solutions are usually not unique; the selection of a visually pleasant one is then based on the minimization of a choice functional. For an implementation of the algorithm the reader is referred to the Diplomarbeit of the first author. However, the paper contains a graphical description of an interesting application.
Mathematics Subject Classification ID: 65D05
zbMATH DE Number: 947632
zbMATH Keywords: scattered data interpolation
zbMATH Keywords: quadratic range restrictions
zbMATH Keywords: spline
reviewed by: Willy J. F. Govaerts
MaRDI profile type: Publication
full work available at URL: 0377-0427(96)00044-1
OpenAlex ID: W2070404097
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Wikidata QID: Q127186431
description: scientific article; zbMATH DE number 947632