The Generic Dimension of the Space of $C^1$ Splines of Degree $d \geq 8$ on Tetrahedral Decompositions
From MaRDI portal
Publication:4202404
DOI10.1137/0730047zbMath0774.41012OpenAlexW2042271950MaRDI QIDQ4202404
Larry L. Schumaker, Peter Alfeld, Walter J. Whiteley
Publication date: 12 October 1993
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0730047
geometric techniquesrigidity theoryBernstein- Bézier methodsglobally differentiable piecewise polynomial functions
Related Items
Multivariate splines and the Bernstein-Bézier form of a polynomial, Algebraic methods in approximation theory, On the dimension of trivariate spline spaces with the highest order smoothness on 3D T-meshes, The Dimension of the Space of Smooth Splines of Degree 8 on Tetrahedral Partitions, A spectral sequence for splines, Lower Bound on the Dimension of Trivariate Splines on Cells, A lower bound for the dimension of tetrahedral splines in large degree, Multivariate polynomial splines on generalized oranges, Mini-workshop: Interpolation, approximation, and algebra. Abstracts from the mini-workshop held February 13--19, 2022, Bounds on the dimension of trivariate spline spaces: a homological approach, On structure of bivariate spline space of lower degree over arbitrary triangulation, Minimal energy surfaces using parametric splines, Bounds on the dimensions of trivariate spline spaces, Dimension of \(C^1\)-splines on type-6 tetrahedral partitions, A local Lagrange interpolation method based on $C^{1}$ cubic splines on Freudenthal partitions, Associated primes of spline complexes, The generic dimensions of the space of smooth splines of degree 7 on tetrahedral partitions, Bivariate spline spaces and minimal determining sets, A Lower Bound for Splines on Tetrahedral Vertex Stars, Quasi-interpolation by quadratic piecewise polynomials in three variables, Quasi-splines and their moduli
