A Shepard-like Hermite interpolation operator with fourth approximation order

Barrera Rosillo, Domingo; Nouisser, Otheman; Zerroudi, Benaissa

doi:10.1016/j.cam.2025.117158

1-s2.0-S0377042725006727-main.pdf (1.275Mb)

Identificadores

URI: https://hdl.handle.net/10481/107731

DOI: 10.1016/j.cam.2025.117158

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Editorial

Elsevier

Materia

Scattered data interpolation

Interpolation algorithms

Shepard method

Fecha

2026-05-15

Referencia bibliográfica

Barrera, D., Nouisser, O., & Zerroudi, B. (2026). A Shepard-like Hermite interpolation operator with fourth approximation order. Journal of Computational and Applied Mathematics, 477(117158), 117158. https://doi.org/10.1016/j.cam.2025.117158

Patrocinador

MCINN/ AEI/10.13039/501100011033/ (CEX2020-001105-M)

Resumen

From a first order Hermite interpolant on a triangle written in terms of barycentric coordinates, a Shepard-like interpolation is defined. It achieves fourth order of approximation. Its performance is checked by considering well-known test functions as well different Delaunay triangulations. The novel operator is compared to a Shepard-type operator and to a Hermite cubic interpolant over a Powell–Sabin partition.

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DMA - Artículos

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