Reconstruction of surfaces from a not large data set by interpolation

Many papers discuss the problem of recovering a function when a set of data is known on a domain Ω ⊂ R^2. Most of these papers assume that the size of the data set is large. At our knowledge, little or practically nothing is said about the case in which the sample has a size that is moderate. In thi...

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Bibliographic Details
Main Authors: Mira Bozzini, Licia Lenarduzzi
Format: Article
Language:English
Published: Sapienza Università Editrice 2005-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2005(2)/223-239.pdf
Description
Summary:Many papers discuss the problem of recovering a function when a set of data is known on a domain Ω ⊂ R^2. Most of these papers assume that the size of the data set is large. At our knowledge, little or practically nothing is said about the case in which the sample has a size that is moderate. In this paper we tackle this problem. We indicate a way for its solution and hence we give a concrete example. Some numerical experiments are shown.
ISSN:1120-7183
2532-3350