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arXiv · 2508.07764

Multinode Shepard Functions and Tensor Product Polynomial Interpolation: Applications to Digital Elevation Models

Domingo Barrera·Francesco Dell'Accio·Filomena Di Tommaso·Salah Eddargani·María José Ibáñez·Francesco Larosa·Federico Nudo·Juan F. Reinoso
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Abstract

The paper presents an in-depth exploration of the multinode Shepard interpolant on a regular rectangular grid, demonstrating its efficacy in reconstructing surfaces from DEM data. Additionally, we study the approximation order associated to this interpolant and present a detailed algorithm for reconstructing surfaces. Numerical tests showcase the effectiveness of the proposed algorithm.

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Domingo Barrera, Francesco Dell'Accio, Filomena Di Tommaso, Salah Eddargani, María José Ibáñez, Francesco Larosa, Federico Nudo, Juan F. Reinoso. 2025-08-11. Multinode Shepard Functions and Tensor Product Polynomial Interpolation: Applications to Digital Elevation Models. https://arxiv.org/abs/2508.07764

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