Computing quasi-interpolants from the B-form of B-splines
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Publication:554517
DOI10.1016/j.matcom.2010.12.005zbMath1221.65030OpenAlexW1988972186MaRDI QIDQ554517
Publication date: 4 August 2011
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2010.12.005
error estimatesnumerical examplesB-splinesdifferential quasi-interpolantsdiscrete quasi-interpolantsapproximation powerB-formBernstein-Bézier representationintegral quasi-interpolants
Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spline approximation (41A15)
Related Items (7)
A superconvergent cubic spline quasi-interpolant and application ⋮ Superconvergent local quasi-interpolants based on special multivariate quadratic spline space over a refined quadrangulation ⋮ Construction of a normalized basis of a univariate quadratic $C^1$ spline space and application to the quasi-interpolation ⋮ \( \mathcal{C}^1\) superconvergent quasi-interpolation based on polar forms ⋮ Superconvergent spline quasi-interpolants and an application to numerical integration ⋮ Multiquadric trigonometric spline quasi-interpolation for numerical differentiation of noisy data: a stochastic perspective ⋮ Approximation orders and shape preserving properties of the multiquadric trigonometric B-spline quasi-interpolant
Cites Work
- On Chebyshev-type integral quasi-interpolation operators
- Translates of multivariate splines
- Box splines
- On measuring the efficiency of kernel operators in \(L_p(\mathbb R^d)\)
- On Chebyshev-type discrete quasi-interpolants
- Minimizing the quasi-interpolation error for bivariate discrete quasi-interpolants
- Spline Functions on Triangulations
- Scattered Data Interpolation: Tests of Some Method
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