\(C^r\) rational splines over a triangulation
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Publication:1025020
DOI10.1016/j.jmaa.2009.03.004zbMath1167.41002OpenAlexW1998929493MaRDI QIDQ1025020
Alain Le Méhauté, Jean Claude Koua Brou
Publication date: 18 June 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.03.004
Numerical computation using splines (65D07) Approximation by rational functions (41A20) Approximation with constraints (41A29) Spline approximation (41A15)
Related Items (2)
Rational finite elements of class \(C^{k}\) over a quadrangulation ⋮ A surface modeling method by using \(C^2\) piecewise rational spline interpolation
Cites Work
- \(C^ r\)-finite elements of Powell-Sabin type on the three direction mesh
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- A rational finite element basis
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- Interpolation polynomials on the triangle
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- A Characterization of Certain $C^1 $ Discrete Triangular Interpolants
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- Minimum Norm Interpolation in Triangles
- Scattered Data Interpolation: Tests of Some Method
- On Cubic and Quartic Clough–Tocher Finite Elements
- Piecewise Quadratic Approximations on Triangles
- Macro-elements and stable local bases for splines on Powell-Sabin triangulations
- Finite element with high degree of regularity
- Macro-elements and stable local bases for splines on Clough-Tocher triangulations
- Smooth macro-elements based on Powell--Sabin triangle splits
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