A non-linear approximation method on the sphere

DOI10.1007/s13137-014-0063-3zbMath1305.65094OpenAlexW1983165570MaRDI QIDQ483098

Volker Michel, Roger Telschow

Publication date: 15 December 2014

Published in: GEM - International Journal on Geomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13137-014-0063-3

zbMATH Keywords

spherical harmonicregularizationorthogonal polynomialsmultiresolution analysisnumerical examplesspheregreedy algorithmwaveletreproducing kernelscattered datascaling functionnonlinear approximationmatching pursuit

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Algorithms for approximation of functions (65D15) Spherical harmonics (33C55) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Numerical approximation and evaluation of special functions (33F05)

Related Items (9)

Linear and nonlinear approximation of spherical radial basis function networks ⋮ On the convergence theorem for the regularized functional matching pursuit (RFMP) algorithm ⋮ Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions ⋮ A greedy algorithm for nonlinear inverse problems with an application to nonlinear inverse gravimetry ⋮ The Regularized Orthogonal Functional Matching Pursuit for Ill-Posed Inverse Problems ⋮ A first approach to learning a best basis for gravitational field modelling ⋮ The regularized weak functional matching pursuit for linear inverse problems ⋮ Spherical Harmonics Based Special Function Systems and Constructive Approximation Methods ⋮ Regularized functional matching pursuit for the spherical multiple-shell electro-magnetoencephalography problem

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