Construction of a normalized basis of a univariate quadratic $C^1$ spline space and application to the quasi-interpolation
From MaRDI portal
Publication:6189472
DOI10.5269/bspm.43267OpenAlexW4200091840MaRDI QIDQ6189472
Abdelhafid Serghini, A. Rahouti, Ahmed Tijini
Publication date: 8 February 2024
Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5269/bspm.43267
Cites Work
- Unnamed Item
- Unnamed Item
- Bivariate \(C ^{2}\) cubic spline quasi-interpolants on uniform Powell-Sabin triangulations of a rectangular domain
- Superconvergent trivariate quadratic spline quasi-interpolants on Worsey-Piper split
- Superconvergent quadratic spline quasi-interpolants on Powell-Sabin partitions
- Computing quasi-interpolants from the B-form of B-splines
- A normalized basis for quintic Powell-Sabin splines
- A normalized basis for reduced Clough-Tocher splines
- Quasi-interpolation operators based on the trivariate seven-direction \(C^2\) quartic box spline
- On the construction of trivariate near-best quasi-interpolants based on \(C^2\) quartic splines on type-6 tetrahedral partitions
- 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
- 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
- On Hermite interpolation with B-splines
- B-splines for cardinal Hermite interpolation
- On calculating normalized Powell-Sabin B-splines
- Cardinal interpolation and spline functions. V. The B-splines for cardinal Hermite interpolation
- Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants
- Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations
- New approach to study splines by blossoming method and application to the construction of a bivariate \(C^1\) quartic quasi-interpolant
- \( \mathcal{C}^1\) superconvergent quasi-interpolation based on polar forms
- Trivariate spline quasi-interpolants based on simplex splines and polar forms
- Computation of Hermite interpolation in terms of B-spline basis using polar forms
- A normalized basis for \(\mathcal{C}^1\) cubic super spline space on Powell-Sabin triangulation
- Constructing B-spline representation of quadratic Sibson-Thomson splines
- Construction of quintic Powell-Sabin spline quasi-interpolants based on blossoming
- Local quasi-interpolants based on special multivariate quadratic spline space over a refined quadrangulation
- On Shape Preserving Quadratic Spline Interpolation
- Constructing Good Coefficient Functionals for Bivariate C 1 Quadratic Spline Quasi-Interpolants
- On shape preserving \(C^2\) Hermite interpolation
This page was built for publication: Construction of a normalized basis of a univariate quadratic $C^1$ spline space and application to the quasi-interpolation