3 papers
math.NA2024
Data dependent Moving Least Squares
David Levin, José M. Ramón, Juan Ruiz-Alvarez +1
In this paper, we address a data dependent modification of the moving least squares (MLS) problem. We propose a novel approach by replacing the traditional weight functions with ne…
math.NA2024
Weighted Essentially Non-Oscillatory Shepard method
David Levin, José M. Ramón, Juan Ruiz-Alvarez +1
Shepard method is a fast algorithm that has been classically used to interpolate scattered data in several dimensions. This is an important and well-known technique in numerical an…
math.NA2024
Linear minimum-variance approximants for noisy data
Sergio López Ureña, Dionisio F. Yáñez
Inspired by recent developments in subdivision schemes founded on the Weighted Least Squares technique, we construct linear approximants for noisy data in which the weighting strat…