Minimal energy spherical splines on Clough-Tocher triangulations for Hermite interpolation

DOI10.1016/J.APNUM.2011.06.008zbMath1251.65010OpenAlexW2051275175MaRDI QIDQ435992

Victoria Baramidze

Publication date: 13 July 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2011.06.008

zbMATH Keywords

convergenceenergy minimizationnumerical experimentsClough-Tocher macro-elementHermite interpolating splineminimal energy spherical splinesspherical Hermite interpolation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (2)

Hermite parametric surface interpolation based on Argyris element ⋮ Hermite interpolation by triangular cubic patches with small Willmore energy

Cites Work

• Unnamed Item
• On convergence rate of the augmented Lagrangian algorithm for nonsymmetric saddle point problems
• Bernstein-Bézier polynomials on spheres and sphere-like surfaces
• On the approximation order of splines on spherical triangulations
• Fitting scattered data on sphere-like surfaces using spherical splines
• Hybrid Bézier patches on sphere-like surfaces
• Error bounds for minimal energy bivariate polynomial splines
• Filling polygonal holes using \(C^{1}\) cubic triangular spline patches
• Energy minimization method for scattered data Hermite interpolation
• Interpolation and scattered data fitting on manifolds using projected Powell-Sabin splines
• Spline Functions on Triangulations
• Dimension and Local Bases of Homogeneous Spline Spaces
• Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines
• Spherical Splines for Data Interpolation and Fitting

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