Near-best operators based on a \({\mathcal C}^2\) quartic spline on the uniform four-directional mesh

DOI10.1016/j.matcom.2007.08.005zbMath1131.41002OpenAlexW2087386673MaRDI QIDQ2479451

M. J. Ibáñez, El Bachir Ameur, Domingo Barrera, Driss Sbibih

Publication date: 26 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.matcom.2007.08.005

zbMATH Keywords

\(B\)-splinesrefinable function vectorsubdivision schemebox-splinesnear-best quasi-interpolants

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items (6)

Near-best \(C^2\) quartic spline quasi-interpolants on type-6 tetrahedral partitions of bounded domains ⋮ Quasi-interpolation operators based on the trivariate seven-direction \(C^2\) quartic box spline ⋮ Quasi-interpolation by \(C^1\) quartic splines on type-1 triangulations ⋮ Trivariate near-best blending spline quasi-interpolation operators ⋮ A trivariate near-best blending quadratic quasi-interpolant ⋮ On the construction of trivariate near-best quasi-interpolants based on \(C^2\) quartic splines on type-6 tetrahedral partitions

Cites Work

• Unnamed Item
• On minimal and quasi-minimal supported bivariate splines
• A new subdivision method for bivariate splines on the four-directional mesh
• Subdivision Scheme of Quartic Bivariate Splines on a Four-Directional Mesh

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