General variational approach to the interpolation problem
type: Item
instance of: scholarly article
title: General variational approach to the interpolation problem
zbMATH Open document ID: 0663.65007
DOI: 10.1016/0898-1221(88)90255-6
author: H. Mitášová
author: Lubos Mitas
publication date: 1988-01-01T00:00:00Z
review text: In many classes a smooth interpolant is wanted for (possibly scattered) data in d-space. Then an interpolant is determined such that a functional is minimized which provides a measure of the smoothness. In this concept, e.g. the theory of thin plate splines has been developed. The flexibility of this known method is demonstrated in the paper.
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 4084827
zbMATH Keywords: smooth interpolation
zbMATH Keywords: thin plate splines
reviewed by: D. Braess
MaRDI profile type: Publication
full work available at URL: 0898-1221(88)90255-6
OpenAlex ID: W2075258897
cites work: Q3795136
cites work: A practical guide to splines
cites work: Scattered Data Interpolation: Tests of Some Method
cites work: Q5540873
cites work: Multivariate interpolation at arbitrary points made simple
cites work: Construction of surface spline interpolants of scattered data over finite domains
cites work: Interpolatory Tension Splines with Automatic Selection of Tension Factors
cites work: A Class of Cubic Splines Obtained Through Minimum Conditions
cites work: Method for smooth approximation of data
cites work: Properties of splines in tension
cites work: Q4723134
cites work: Q3671491
cites work: Q5558293
cites work: Smooth interpolation of scattered data by local thin plate splines
cites work: A triangle-based \(C^ 1\) interpolation method
cites work: Interpolation and approximation of 3-D and 4-D scattered data
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 4084827