The Multinode Shepard Method: MATLAB Implementation

Authors

  • 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

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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

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