Scattered data interpolation on the 2-dimensional surface through Shepard-like technique

In the current paper, the problem of interpolation of scattered data on two-dimensional surfaces is considered by proposing an extension to the Shepard method and its modified version to surfaces. Each proposed operator is a linear combination of basis functions whose coefficients are the values of...

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Bibliographic Details
Published inMathematical Modeling and Computing Vol. 11; no. 1; pp. 277 - 289
Main Authors Zerroudi, B., Tayeq, H., El Harrak, A.
Format Journal Article
LanguageEnglish
Published 2024
Online AccessGet full text
ISSN2312-9794
2415-3788
DOI10.23939/mmc2024.01.277

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Summary:In the current paper, the problem of interpolation of scattered data on two-dimensional surfaces is considered by proposing an extension to the Shepard method and its modified version to surfaces. Each proposed operator is a linear combination of basis functions whose coefficients are the values of the function or its Taylor of first-order expansions at the interpolation points using both functional and derivative data. Numerical tests are given to show the interpolation performance, where several numerical results show a good approximation accuracy of the proposed operator.
ISSN:2312-9794
2415-3788
DOI:10.23939/mmc2024.01.277