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arXiv · 2307.09627

Multivariate polynomial splines on generalized oranges

Maritza Sirvent·Tatyana Sorokina·Nelly Villamizar·Beihui Yuan
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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-Bézier tools.

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Maritza Sirvent, Tatyana Sorokina, Nelly Villamizar, Beihui Yuan. 2023-06-09. Multivariate polynomial splines on generalized oranges. https://arxiv.org/abs/2307.09627

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