Spline quasi-interpolation in the Bernstein basis on the Powell-Sabin 6-split of a type-1 triangulation

DOI10.1016/j.cam.2022.115011MaRDI QIDQ6098968

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Publication date: 19 June 2023

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

zbMATH Keywords

Bernstein-Bézier formPowell-Sabin splitquasi-interpolation schemes

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Approximations and expansions (41Axx)

Cites Work

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• An explicit quasi-interpolation scheme based on \(C^1\) quartic splines on type-1 triangulations
• Quadratic spline quasi-interpolants on Powell-Sabin partitions
• Polar forms and quadratic spline quasi-interpolants on Powell-Sabin partitions
• Quadratic spherical spline quasi-interpolants on Powell-Sabin partitions
• Quasi-interpolation by \(C^1\) quartic splines on type-1 triangulations
• \(C^1\)-quartic butterfly-spline interpolation on type-1 triangulations
• Point and differential \(C^1\) quasi-interpolation on three direction meshes
• Quasi-interpolation by quadratic piecewise polynomials in three variables
• Local quasi-interpolation by cubic C1 splines on type-6 tetrahedral partitions
• A first-order blending method for triangles based upon cubic interpolation
• Scattered Data Interpolation: Tests of Some Method
• Piecewise Quadratic Approximations on Triangles

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