47 citations · 166 across the 18 of their papers we have counts for
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math.NA2019★ 7 cited
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…
math.AG2019★ 5 cited
Polynomial spline spaces of non-uniform bi-degree on T-meshes: Combinatorial bounds on the dimension
Deepesh Toshniwal, Bernard Mourrain, Thomas Hughes
Polynomial splines are ubiquitous in the fields of computer aided geometric design and computational analysis. Splines on T-meshes, especially, have the potential to be incredibly…