Multivariate polynomial splines on generalized oranges

• DOI: 10.1016/j.jat.2024.106016
• Publication Date: 2024-01-15T23:52:22Z
• Authors: Maritza Sirvent; Tatyana Sorokina; Nelly Villamizar; Beihui Yuan
• Keywords: Spline (mechanical)

We consider spaces of multivariate splines defined on a particular type simplicial partitions that we call (generalized) oranges. Such are composed finite number maximal faces with exactly one shared medial face. reduce the problem finding dimension oranges to computing dimensions simpler, lower-dimensional projected use both algebraic and Bernstein-Bézier tools.