Construction of superconvergent quasi-interpolants using new normalized \(C^2\) cubic B-splines
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Publication:1998214
DOI10.1016/j.matcom.2020.07.009OpenAlexW3040817650MaRDI QIDQ1998214
A. Rahouti, Abdelhafid Serghini, Ahmed Tijini
Publication date: 6 March 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.2020.07.009
Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Approximations and expansions (41Axx)
Related Items (3)
A new approach to deal with \(C^2\) cubic splines and its application to super-convergent quasi-interpolation ⋮ On \(C^2\) cubic quasi-interpolating splines and their computation by subdivision via blossoming ⋮ A super-superconvergent cubic spline quasi-interpolant
Cites Work
- Bivariate \(C ^{2}\) cubic spline quasi-interpolants on uniform Powell-Sabin triangulations of a rectangular domain
- A normalized basis for reduced Clough-Tocher splines
- Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions
- Normalized trivariate B-splines on Worsey-Piper split and quasi-interpolants
- Blossoms are polar forms
- 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 calculating normalized Powell-Sabin B-splines
- An always successful method in univariate convex \(C^ 2\) 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
- \( \mathcal{C}^1\) superconvergent quasi-interpolation based on polar forms
- Computation of Hermite interpolation in terms of B-spline basis using polar forms
- On Shape Preserving Quadratic Spline Interpolation
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