New approach to study splines by blossoming method and application to the construction of a bivariate \(C^1\) quartic quasi-interpolant
From MaRDI portal
Publication:2006629
DOI10.1016/j.camwa.2015.12.014zbMath1443.65016OpenAlexW2222749184MaRDI QIDQ2006629
Ahmed Tijini, Abdelhafid Serghini
Publication date: 11 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.12.014
Numerical computation using splines (65D07) Interpolation in approximation theory (41A05) Spline approximation (41A15)
Related Items (2)
A construction of a bivariate \(C^2\) spline approximant with minimal degree on arbitrary triangulation ⋮ Construction of a normalized basis of a univariate quadratic $C^1$ spline space and application to the quasi-interpolation
Cites Work
- Superconvergent trivariate quadratic spline quasi-interpolants on Worsey-Piper split
- Superconvergent quadratic spline quasi-interpolants on Powell-Sabin partitions
- An explicit quasi-interpolation scheme based on \(C^1\) quartic splines on type-1 triangulations
- Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions
- Normalized trivariate B-splines on Worsey-Piper split and quasi-interpolants
- Quadratic spline quasi-interpolants on Powell-Sabin partitions
- Superconvergent local quasi-interpolants based on special multivariate quadratic spline space over a refined quadrangulation
- De Boor-Fix functionals and polar forms
- Blossoms are polar forms
- Optimal bivariate \(C^{1}\) cubic quasi-interpolation on a type-2 triangulation
- A general method for constructing quasi-interpolants from B-splines
- Polar forms and quadratic spline quasi-interpolants on Powell-Sabin partitions
- On near-best discrete quasi-interpolation on a four-directional mesh
- A characterization theorem of multivariate splines in blossoming form
- Blossoming Marsden's identity
- On the evaluation of box splines
- Stable evaluation of box-splines
- Geometric interpretation of smoothness conditions of triangular polynomial patches
- A Markov inequality in several dimensions
- A normalized basis for \(\mathcal{C}^1\) cubic super spline space on Powell-Sabin triangulation
- Near-best quasi-interpolants associated with \(H\)-splines on a three-direction mesh
- Minimizing the quasi-interpolation error for bivariate discrete quasi-interpolants
- Bivariate Simplex Spline Quasi-Interpolants
- Spline Functions on Triangulations
- An Explicit Basis for $C^1 $ Quartic Bivariate Splines
- Blossoming Begets B-Spline Bases Built Better by B-Patches
- Construction of local 𝐶¹ quartic spline elements for optimal-order approximation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: New approach to study splines by blossoming method and application to the construction of a bivariate \(C^1\) quartic quasi-interpolant
