The Dimension of the Space of Smooth Splines of Degree 8 on Tetrahedral Partitions

DOI10.1007/978-1-4614-0772-0_19zbMath1250.41004OpenAlexW152596679MaRDI QIDQ2912187

Baocai Yin, Ben Kamau, Feng-Shan Liu, Xi-Quan Shi

Publication date: 14 September 2012

Published in: Springer Proceedings in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-0772-0_19

zbMATH Keywords

spline space of degree \(d\) and smoothness \(r\)

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items (1)

The generic dimensions of the space of smooth splines of degree 7 on tetrahedral partitions

Cites Work

• The generic dimensions of the space of smooth splines of degree 7 on tetrahedral partitions
• The dimension of bivariate spline spaces of smoothness r for degree \(d\geq 4r+1\)
• The singularity of Morgan-Scott triangulation
• An Explicit Basis for $C^1 $ Quartic Bivariate Splines
• A Nodal Basis for C 1 Piecewise Polynomials of Degree n ≥5
• The Generic Dimension of the Space of $C^1$ Splines of Degree $d \geq 8$ on Tetrahedral Decompositions
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