Multinode Shepard functions and tensor product polynomial interpolation: Applications to Digital Elevation Models

Barrera Rosillo, Domingo; Dell’Accio, Francesco; Di Tommaso, Filomena; Eddargani, Salah; Ibáñez Pérez, María José; Larosa, Francesco; Nudo, Federico; Reinoso Gordo, Juan Francisco

doi:10.1016/j.cam.2025.117036

1-s2.0-S0377042725005503-main.pdf (3.188Mb)

Identificadores

URI: https://hdl.handle.net/10481/106744

DOI: 10.1016/j.cam.2025.117036

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Editorial

Elsevier B.V.

Materia

Multinode Shepard functions

Tensor product interpolation

Digital Elevation Model

Fecha

2026-03-15

Referencia bibliográfica

Barrera, D., Dell’Accio, F., Di Tommaso, F., Eddargani, S., Ibáñez, M. J., Larosa, F., Nudo, F., & Reinoso, J. F. (2026). Multinode Shepard functions and tensor product polynomial interpolation: Applications to Digital Elevation Models. Journal of Computational and Applied Mathematics, 475(117036), 117036. https://doi.org/10.1016/j.cam.2025.117036

Patrocinador

European Union – NextGenerationEU; MCIN/AEI/10.13039/501100011033 - European Union NextGenerationEU/PRTR (Project PID2022-139586NB-44); Consejería de Universidad, Investigación e Innovación of the Junta de Andalucía, Spain (Project QUAL21-011); MCINN/AEI/ (CEX2020-001105-M)

Resumen

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.

Colecciones

OpenAIRE (Open Access Infrastructure for Research in Europe)

Excepto si se señala otra cosa, la licencia del ítem se describe como Atribución 4.0 Internacional