1 citations · 1 across the 4 of their papers we have counts for
4 papers
Counting the dimension of splines of mixed smoothness: A general recipe, and its application to meshes of arbitrary topologies
Deepesh Toshniwal, Michael DiPasquale
In this paper we study the dimension of bivariate polynomial splines of mixed smoothness on polygonal meshes. Here, "mixed smoothness" refers to the choice of different orders of s…
A generalization of Wilf's conjecture for Generalized Numerical Semigroups
Carmelo Cisto, Michael DiPasquale, Gioia Failla +3
A numerical semigroup is a submonoid of with finite complement in . A generalized numerical semigroup is a submonoid of with finite compleme…
Regularity of Mixed Spline Spaces
Michael DiPasquale
We derive bounds on the regularity of the algebra of mixed splines over a central polytopal complex . As a consequence we bound t…
Associated Primes of Spline Complexes
Michael DiPasquale
The spline complex whose top homology is the algebra of mixed splines over the fan was introduced by Schenck-Stillm…