Local quasi-interpolants based on special multivariate quadratic spline space over a refined quadrangulation

DOI10.1016/j.amc.2013.04.027zbMath1305.41013OpenAlexW2025642553MaRDI QIDQ2513902

M. Lamnii, H. Mraoui, Ahmed Zidna

Publication date: 29 January 2015

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.04.027

zbMATH Keywords

refinementquasi-interpolationmultivariate splinequadrangulationblossoms

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (5)

Computing the range of values of real functions using B-spline form ⋮ A normalized basis for condensed \(\mathcal{C}^1\) Powell-Sabin-12 splines ⋮ 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 ⋮ Cubic spline quasi-interpolants on powell-sabin partitions

Cites Work

• A normalized basis for quintic Powell-Sabin splines
• A normalized basis for reduced Clough-Tocher splines
• Quadratic spline quasi-interpolants on Powell-Sabin partitions
• Blossoms are polar forms
• Polar forms and quadratic spline quasi-interpolants on Powell-Sabin partitions
• On calculating normalized Powell-Sabin B-splines
• Special multivariate quadratic spline space
• On Lattices Admitting Unique Lagrange Interpolations
• On the Approximation Power of Splines on Triangulated Quadrangulations

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