A new approach to deal with \(C^2\) cubic splines and its application to super-convergent quasi-interpolation

DOI10.1016/j.matcom.2021.12.003OpenAlexW4200505195MaRDI QIDQ2076764

Yanyan Li

Publication date: 22 February 2022

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2021.12.003

zbMATH Keywords

Hermite interpolationnormalized B-splinesBernstein-Bézier representationcontrol polynomialssuper-convergent quasi-interpolants

Mathematics Subject Classification ID

Numerical analysis (65-XX) Approximations and expansions (41-XX)

Related Items (2)

Spline quasi‐interpolation in the Bernstein basis and its application to digital elevation models ⋮ On \(C^2\) cubic quasi-interpolating splines and their computation by subdivision via blossoming

Cites Work

• Raising the approximation order of multivariate quasi-interpolants
• A normalized representation of super splines of arbitrary degree on Powell-Sabin triangulations
• Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions
• A superconvergent cubic spline quasi-interpolant and application
• Compactly supported fundamental functions for spline interpolation
• Construction of superconvergent quasi-interpolants using new normalized \(C^2\) cubic B-splines
• A novel construction of B-spline-like bases for a family of many knot spline spaces and their application to quasi-interpolation
• \( \mathcal{C}^1\) superconvergent quasi-interpolation based on polar forms
• Computation of Hermite interpolation in terms of B-spline basis using polar forms
• Spline Functions on Triangulations
• On Shape Preserving Quadratic Spline Interpolation
• Piecewise Quadratic Approximations on Triangles
• On shape preserving \(C^2\) Hermite interpolation

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