arXiv subjects

María José Ibáñez

Publications and source records attributed to María José Ibáñez.

2 recordsLinked to original sources

arXiv2025

Multinode Shepard Functions and Tensor Product Polynomial Interpolation: Applications to Digital Elevation Models

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.

math.NA↗

arXiv2024

Construction of 2D explicit cubic quasi-interpolating splines in Bernstein-Bézier form

In this paper, the construction of $C^{1}$ cubic quasi-interpolants on a three-direction mesh of $\RR^{2}$ is addressed. The quasi-interpolating splines are defined by directly setting their Bernstein-Bézier coefficients relative to each triangle from point and gradient values in order to reproduce the polynomials of the highest possible degree. Moreover, additional global properties are required. Finally, we provide some numerical tests confirming the approximation properties.

math.NA↗