A numerical optimization approach to generate smoothing spherical splines

DOI10.1016/j.geomphys.2016.10.007zbMath1354.65025OpenAlexW2537985265MaRDI QIDQ347414

Mohammad Hasan, M. Dambrine

Publication date: 30 November 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.10.007

zbMATH Keywords

algorithmgeodesicsleast squaresEuclidean spherenonlinear constrained optimizationgeometric smoothing splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Multidimensional problems (41A63) Spline approximation (41A15)

Related Items

Data fitting on manifolds with composite Bézier-like curves and blended cubic splines

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A gradient-descent method for curve fitting on Riemannian manifolds
• Geometric mean and geodesic regression on Grassmannians
• Higher-order smoothing splines versus least squares problems on Riemannian manifolds
• Gauss's first argument for least squares
• On the geometry of Riemannian cubic polynomials.
• A tutorial history of least squares with applications to astronomy and geodesy
• The dynamic interpolation problem: on Riemannian manifolds, Lie groups, and symmetric spaces
• Smoothing by spline functions.
• Spline Interpolation and Smoothing on the Sphere
• Riemannian Means as Solutions of Variational Problems
• Geodesic regression on spheres from a numerical optimization viewpoint
• Cubic Splines on Curved Spaces
• Fitting Smooth Paths to Speherical Data
• Interior Methods for Nonlinear Optimization
• Splines of class C^k on non-euclidean spaces