Dimension of mixed splines on polytopal cells
From MaRDI portal
Publication:4600716
DOI10.1090/mcom/3224zbMath1420.13065OpenAlexW2544129794MaRDI QIDQ4600716
Publication date: 12 January 2018
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/mcom/3224
Syzygies, resolutions, complexes and commutative rings (13D02) Polyhedral manifolds (52B70) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25) Computational homological algebra (13P20)
Related Items (6)
Semialgebraic splines ⋮ A lower bound for the dimension of tetrahedral splines in large degree ⋮ Bivariate semialgebraic splines ⋮ Counting the dimension of splines of mixed smoothness. A general recipe, and its application to planar meshes of arbitrary topologies ⋮ Algebraic methods to study the dimension of supersmooth spline spaces ⋮ A Lower Bound for Splines on Tetrahedral Vertex Stars
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- From spline approximation to Roth's equation and Schur functors
- Lattice-supported splines on polytopal complexes
- Equivariant Chow cohomology of toric varieties
- Splines with boundary conditions
- The dimension of bivariate spline spaces of smoothness r for degree \(d\geq 4r+1\)
- Super spline spaces of smoothness \(r\) and degree \(d\geq{} 3r+2\)
- Modules of piecewise polynomials and their freeness
- Fat points, inverse systems, and piecewise polynomial functions
- Local cohomology of bivariate splines
- A family of ideals of minimal regularity and the Hilbert series of \(C^r(\widehat\Delta)\)
- A spectral sequence for splines
- Cohomology vanishing and a problem in approximation theory
- Smooth planar \(r\)-splines of degree 2\(r\)
- Homological techniques for the analysis of the dimension of triangular spline spaces
- On the dimension of bivariate spline spaces of smoothness r and degree \(d=3r+1\)
- A dimension series for multivariate splines
- Piecewise polynomials on polyhedral complexes
- An Explicit Basis for $C^1 $ Quartic Bivariate Splines
- Lectures on Polytopes
- The Geometry of Syzygies
- Nonexistence of Star-Supported Spline Bases
- Homology of Smooth Splines: Generic Triangulations and a Conjecture of Strang
- A practical guide to splines.
- Associated primes of spline complexes
This page was built for publication: Dimension of mixed splines on polytopal cells
