Multivariate splines and the Bernstein-Bézier form of a polynomial
From MaRDI portal
Publication:1632476
DOI10.1016/j.cagd.2015.11.007zbMath1418.41003OpenAlexW2194207844MaRDI QIDQ1632476
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.2015.11.007
Numerical computation using splines (65D07) Multidimensional problems (41A63) Spline approximation (41A15)
Related Items
Dimension of trivariate \(C^1\) splines on bipyramid cells ⋮ On the dimension of trivariate spline spaces with the highest order smoothness on 3D T-meshes ⋮ Multivariate polynomial splines on generalized oranges
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two condensed macro-elements with full approximation power
- Two tetrahedral \(C^1\) cubic macro elements
- A \(C^1\) quadratic trivariate macro-element space defined over arbitrary tetrahedral partitions
- The dimension of bivariate spline spaces of smoothness r for degree \(d\geq 4r+1\)
- Dual bases for spline spaces on cells
- On the dimension of bivariate spline spaces of smoothness r and degree \(d=3r+1\)
- Instability in the Dimension of Spaces of Bivariate Piecewise Polynomials of Degree $2r$ and Smoothness Order r
- Spline Functions on Triangulations
- 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
- Piecewise polynomials and the finite element method
- Upper and Lower Bounds on the Dimension of Multivariate Spline Spaces
- Homology of Smooth Splines: Generic Triangulations and a Conjecture of Strang
