Multivariate polynomial splines on generalized oranges
Combinatorics
2023-07-20 v1
Abstract
We consider spaces of multivariate splines defined on a particular type of simplicial partitions that we call (generalized) oranges. Such partitions are composed of a finite number of maximal faces with exactly one shared medial face. We reduce the problem of finding the dimension of splines on oranges to computing dimensions of splines on simpler, lower-dimensional partitions that we call projected oranges. We use both algebraic and Bernstein-B\'ezier tools.
Cite
@article{arxiv.2307.09627,
title = {Multivariate polynomial splines on generalized oranges},
author = {Maritza Sirvent and Tatyana Sorokina and Nelly Villamizar and Beihui Yuan},
journal= {arXiv preprint arXiv:2307.09627},
year = {2023}
}
Comments
18 pages, 3 figures