38 citations · 111 across the 15 of their papers we have counts for
5 papers · 1 filter
A general formulation of reweighted least squares fitting
Carlotta Giannelli, Sofia Imperatore, Lisa Maria Kreusser +3
We present a generalized formulation for reweighted least squares approximations. The goal of this article is twofold: firstly, to prove that the solution of such problem can be ex…
An algebraic framework for geometrically continuous splines
Angelos Mantzaflaris, Bernard Mourrain, Nelly Villamizar +1
Geometrically continuous splines are piecewise polynomial functions defined on a collection of patches which are stitched together through transition maps. They are called -…
Completeness characterization of Type-I box splines
Nelly Villamizar, Angelos Mantzaflaris, Bert Jüttler
We present a completeness characterization of box splines on three-directional triangulations, also called Type-I box spline spaces, based on edge-contact smoothness properties. Fo…
A lower bound for the dimension of tetrahedral splines in large degree
Michael DiPasquale, Nelly Villamizar
We derive a formula which is a lower bound on the dimension of trivariate splines on a tetrahedral partition which are continuously differentiable of order in large enough degr…
Dimension of polynomial splines of mixed smoothness on T-meshes
Deepesh Toshniwal, Nelly Villamizar
In this paper we study the dimension of splines of mixed smoothness on axis-aligned T-meshes. This is the setting when different orders of smoothness are required across the edges…