A normalized basis for \(\mathcal{C}^1\) cubic super spline space on Powell-Sabin triangulation
From MaRDI portal
Publication:2229834
DOI10.1016/j.matcom.2013.04.020OpenAlexW2051049383MaRDI QIDQ2229834
M. Lamnii, H. Mraoui, Ahmed Zidna, Ahmed Tijini
Publication date: 18 February 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2013.04.020
Best approximation, Chebyshev systems (41A50) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25)
Related Items
Quartic splines on Powell-Sabin triangulations ⋮ A new B-spline representation for cubic splines over Powell-Sabin triangulations ⋮ A B-spline basis for \(C^1\) quadratic splines on triangulations with a 10-split ⋮ A construction of a bivariate \(C^2\) spline approximant with minimal degree on arbitrary triangulation ⋮ Constructing B-spline representation of quadratic Sibson-Thomson splines ⋮ A normalized basis for condensed \(\mathcal{C}^1\) Powell-Sabin-12 splines ⋮ Construction and analysis of cubic Powell-Sabin B-splines ⋮ On stable representations of Bell elements ⋮ Construction of a normalized basis of a univariate quadratic $C^1$ spline space and application to the quasi-interpolation ⋮ Super-smooth cubic Powell-Sabin splines on three-directional triangulations: B-spline representation and subdivision ⋮ Cubic spline quasi-interpolants on powell-sabin partitions ⋮ \(\mathcal{C}^1\) cubic splines on Powell-Sabin triangulations ⋮ Three recipes for quasi-interpolation with cubic Powell-Sabin splines ⋮ A geometric characterization of Powell-Sabin triangulations allowing the construction of \(C^2\) quartic splines ⋮ A construction of edge B-spline functions for a \(C^1\) polynomial spline on two triangles and its application to Argyris type splines ⋮ New approach to study splines by blossoming method and application to the construction of a bivariate \(C^1\) quartic quasi-interpolant ⋮ A normalized representation of super splines of arbitrary degree on Powell-Sabin triangulations ⋮ Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions ⋮ Interpolation with \(C^2\) quartic macro-elements based on \(10\)-splits ⋮ On \(C^2\) cubic quasi-interpolating splines and their computation by subdivision via blossoming
Cites Work
- Unnamed Item
- Unnamed Item
- A normalized basis for quintic Powell-Sabin splines
- A normalized basis for reduced Clough-Tocher splines
- An explicit quasi-interpolation scheme based on \(C^1\) quartic splines on type-1 triangulations
- Blossoms are polar forms
- \(C^{2}\) piecewise cubic quasi-interpolants on a 6-direction mesh
- A bivariate \(C^1\) cubic super spline space on Powell-Sabin triangulation
- Polar forms and quadratic spline quasi-interpolants on Powell-Sabin partitions
- The dimension of bivariate spline spaces of smoothness r for degree \(d\geq 4r+1\)
- On calculating normalized Powell-Sabin B-splines
- Spline Functions on Triangulations
- Scattered Data Interpolation: Tests of Some Method
- On Lattices Admitting Unique Lagrange Interpolations
This page was built for publication: A normalized basis for \(\mathcal{C}^1\) cubic super spline space on Powell-Sabin triangulation
