3 papers
math.NA2025
LR B-spline perspective for RM B-splines: construction and effortless refinements
Francesco Patrizi
Reachable Minimally supported (RM) B-splines have been recently introduced as a novel B-spline--like basis. They feature local linear independence and admit a fast de Boor--like ev…
math.NA2020
Adaptive refinement with locally linearly independent LR B-splines: Theory and applications
Francesco Patrizi, Carla Manni, Francesca Pelosi +1
In this paper we describe an adaptive refinement strategy for LR B-splines. The presented strategy ensures, at each iteration, local linear independence of the obtained set of LR B…
math.NA2019
Transfinite mean value interpolation over polygons
Michael S. Floater, Francesco Patrizi
Mean value interpolation is a method for fitting a smooth function to piecewise-linear data prescribed on the boundary of a polygon of arbitrary shape, and has applications in comp…