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math.NA2025
Multinode Shepard Functions and Tensor Product Polynomial Interpolation: Applications to Digital Elevation Models
Domingo Barrera, Francesco Dell'Accio, Filomena Di Tommaso +5
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.…
math.NA2024
Construction of 2D explicit cubic quasi-interpolating splines in Bernstein-Bézier form
Domingo Barrera, Salah Eddargani, MarÃa José Ibáñez +1
In this paper, the construction of cubic quasi-interpolants on a three-direction mesh of $\RR^{2}$ is addressed. The quasi-interpolating splines are defined by directly set…
math.NA2024
Normalized B-spline-like representation for low-degree Hermite osculatory interpolation problems
M. Boushabi, S. Eddargani, M. J. Ibáñez +1
This paper deals with Hermite osculatory interpolating splines. For a partition of a real interval endowed with a refinement consisting in dividing each subinterval into two small…