@misc{10481/106744,
year = {2026},
month = {3},
url = {https://hdl.handle.net/10481/106744},
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.},
organization = {European Union – NextGenerationEU},
organization = {MCIN/AEI/10.13039/501100011033 - European Union
NextGenerationEU/PRTR (Project PID2022-139586NB-44)},
organization = {Consejería de Universidad, Investigación e Innovación of the Junta de Andalucía, Spain (Project QUAL21-011)},
organization = {MCINN/AEI/ (CEX2020-001105-M)},
publisher = {Elsevier B.V.},
keywords = {Multinode Shepard functions},
keywords = {Tensor product interpolation},
keywords = {Digital Elevation Model},
title = {Multinode Shepard functions and tensor product polynomial interpolation: Applications to Digital Elevation Models},
doi = {10.1016/j.cam.2025.117036},
author = {Barrera Rosillo, Domingo and Dell’Accio, Francesco and Di Tommaso, Filomena and Eddargani, Salah and Ibáñez Pérez, María José and Larosa, Francesco and Nudo, Federico and Reinoso Gordo, Juan Francisco},
}