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

dc.contributor.author	Barrera Rosillo, Domingo
dc.contributor.author	Dell’Accio, Francesco
dc.contributor.author	Di Tommaso, Filomena
dc.contributor.author	Eddargani, Salah
dc.contributor.author	Ibáñez Pérez, María José
dc.contributor.author	Larosa, Francesco
dc.contributor.author	Nudo, Federico
dc.contributor.author	Reinoso Gordo, Juan Francisco
dc.date.accessioned	2025-10-01T10:17:00Z
dc.date.available	2025-10-01T10:17:00Z
dc.date.issued	2026-03-15
dc.identifier.citation	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	es_ES
dc.identifier.uri	https://hdl.handle.net/10481/106744
dc.description.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.	es_ES
dc.description.sponsorship	European Union – NextGenerationEU	es_ES
dc.description.sponsorship	MCIN/AEI/10.13039/501100011033 - European Union NextGenerationEU/PRTR (Project PID2022-139586NB-44)	es_ES
dc.description.sponsorship	Consejería de Universidad, Investigación e Innovación of the Junta de Andalucía, Spain (Project QUAL21-011)	es_ES
dc.description.sponsorship	MCINN/AEI/ (CEX2020-001105-M)	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Elsevier B.V.	es_ES
dc.rights	Atribución 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.subject	Multinode Shepard functions	es_ES
dc.subject	Tensor product interpolation	es_ES
dc.subject	Digital Elevation Model	es_ES
dc.title	Multinode Shepard functions and tensor product polynomial interpolation: Applications to Digital Elevation Models	es_ES
dc.type	journal article	es_ES
dc.rights.accessRights	open access	es_ES
dc.identifier.doi	10.1016/j.cam.2025.117036
dc.type.hasVersion	VoR	es_ES

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