@misc{10481/107731, year = {2026}, month = {5}, url = {https://hdl.handle.net/10481/107731}, abstract = {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.}, organization = {MCINN/ AEI/10.13039/501100011033/ (CEX2020-001105-M)}, publisher = {Elsevier}, keywords = {Scattered data interpolation}, keywords = {Interpolation algorithms}, keywords = {Shepard method}, title = {A Shepard-like Hermite interpolation operator with fourth approximation order}, doi = {10.1016/j.cam.2025.117158}, author = {Barrera Rosillo, Domingo and Nouisser, Otheman and Zerroudi, Benaissa}, }