Convergence of discrete and penalized least squares spherical splines

DOI10.1016/j.jat.2011.03.001zbMath1229.41004OpenAlexW1973036125MaRDI QIDQ719351

Victoria Baramidze, Ming-Jun Lai

Publication date: 10 October 2011

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2011.03.001

zbMATH Keywords

Least squares splinesSpherical splines

Mathematics Subject Classification ID

Spline approximation (41A15) Harmonic analysis and spherical functions (43A90)

Related Items (2)

Nonnegative data interpolation by spherical splines ⋮ The convergence of three \(L_{1}\) spline methods for scattered data interpolation and fitting

Cites Work

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• Bernstein-Bézier polynomials on spheres and sphere-like surfaces
• On the approximation order of splines on spherical triangulations
• Bounds on projections onto bivariate polynomial spline spaces with stable local bases
• Fitting scattered data on sphere-like surfaces using spherical splines
• Error bounds for minimal energy bivariate polynomial splines
• Approximate interpolation with applications to selecting smoothing parameters
• Spline Functions on Triangulations
• Dimension and Local Bases of Homogeneous Spline Spaces
• Spherical Splines for Data Interpolation and Fitting

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