Dimension of trivariate \(C^1\) splines on bipyramid cells

DOI10.1016/j.cagd.2015.12.001zbMath1418.41006OpenAlexW2215252493MaRDI QIDQ1632490

Devan DiMatteo, Tatyana Sorokina, Julien Colvin

Publication date: 14 December 2018

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2015.12.001

zbMATH Keywords

dimensionbipyramidcellsupersmoothnesstrivariate spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multidimensional problems (41A63) Spline approximation (41A15)

Related Items (1)

A Lower Bound for Splines on Tetrahedral Vertex Stars

Uses Software

• MDS

Cites Work

• Unnamed Item
• Bounds on the dimension of trivariate spline spaces: a homological approach
• \(C^1\) quintic splines on type-4 tetrahedral partitions
• Intrinsic supersmoothness of multivariate splines
• A lower bound for the dimension of trivariate spline spaces
• Bounds on the dimensions of trivariate spline spaces
• Local cohomology of bivariate splines
• Multivariate splines and the Bernstein-Bézier form of a polynomial
• Lower Bound on the Dimension of Trivariate Splines on Cells
• Spline Functions on Triangulations
• Upper and Lower Bounds on the Dimension of Multivariate Spline Spaces
• Homology of Smooth Splines: Generic Triangulations and a Conjecture of Strang

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