44 citations · 78 across the 5 of their papers we have counts for
6 papers · 1 filter
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…
Effective grading refinement for locally linearly independent LR B-splines
Francesco Patrizi
We present a new refinement strategy for locally refined B-splines which ensures the local linear independence of the basis functions. The strategy also guarantees the spanning of…
Isogeometric de Rham complex discretization in solid toroidal domains
Francesco Patrizi, Deepesh Toshniwal
In this work we define a spline complex preserving the cohomological structure of the continuous de Rham complex when the underlying physical domain is a toroidal solid. In the spi…
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…
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…
Linear dependence of bivariate Minimal Support and Locally Refined B-splines over LR-meshes
Francesco Patrizi, Tor Dokken
The focus on locally refined spline spaces has grown rapidly in recent years due to the need in Isogeoemtric analysis (IgA) of spline spaces with local adaptivity: a property not o…