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

dc.contributor.authorBarrera Rosillo, Domingo 
dc.contributor.authorDell’Accio, Francesco
dc.contributor.authorDi Tommaso, Filomena
dc.contributor.authorEddargani, Salah
dc.contributor.authorIbáñez Pérez, María José 
dc.contributor.authorLarosa, Francesco
dc.contributor.authorNudo, Federico
dc.contributor.authorReinoso Gordo, Juan Francisco 
dc.date.accessioned2025-10-01T10:17:00Z
dc.date.available2025-10-01T10:17:00Z
dc.date.issued2026-03-15
dc.identifier.citationBarrera, 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.2025.117036es_ES
dc.identifier.urihttps://hdl.handle.net/10481/106744
dc.description.abstractThe 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.sponsorshipEuropean Union – NextGenerationEUes_ES
dc.description.sponsorshipMCIN/AEI/10.13039/501100011033 - European Union NextGenerationEU/PRTR (Project PID2022-139586NB-44)es_ES
dc.description.sponsorshipConsejería de Universidad, Investigación e Innovación of the Junta de Andalucía, Spain (Project QUAL21-011)es_ES
dc.description.sponsorshipMCINN/AEI/ (CEX2020-001105-M)es_ES
dc.language.isoenges_ES
dc.publisherElsevier B.V.es_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectMultinode Shepard functionses_ES
dc.subjectTensor product interpolationes_ES
dc.subjectDigital Elevation Modeles_ES
dc.titleMultinode Shepard functions and tensor product polynomial interpolation: Applications to Digital Elevation Modelses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1016/j.cam.2025.117036
dc.type.hasVersionVoRes_ES


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