The Multinode Shepard Method: MATLAB Implementation

  • Francesco Dell'Accio University of Calabria
  • Filomena Di Tommaso University of Calabria
  • Francesco Larosa University of Calabria
Keywords: Multivariate Lagrange interpolation, Multinode Shepard method, Rational Interpolant

Abstract

The multinode Shepard method is an extension of inverse distance weighting, developed as a generalization of the triangular Shepard method to further improve interpolation accuracy in situations where the classic Shepard method results are limited. In particular, it considers multiple nodes for local interpolation, offering greater flexibility and improved accuracy in estimates. In this paper, we present two algorithms for computing the multinode Shepard interpolant, providing the related pseudocodes and MATLAB implementations.

Author Biographies

Francesco Dell'Accio, University of Calabria

Department of Mathematics and Computer Science

Francesco Larosa, University of Calabria

Department of Mathematics and Computer Science

Published
2024-09-06
How to Cite
Dell’Accio, F., Di Tommaso, F., & Larosa, F. (2024). The Multinode Shepard Method: MATLAB Implementation. Journal of Approximation Software, 1(2). Retrieved from https://ojs.unito.it/index.php/JAS/article/view/10782
Issue
Vol. 1 No. 2 (2024)
Section
Articles

Copyright (c) 2024 Filomena Di Tommaso, Francesco Dell'Accio, Francesco Larosa

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

JAS only considers unpublished manuscripts.

JAS is committed to electronic open-access publishing since its foundation in 2023 and has chosen to apply the Creative Commons Attribution License (CCAL) CC-BY to all articles.

Under the Creative Commons Attribution License, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles in JAS, provided that the original authors and source are credited.