Singular value decomposition for the cone-beam transform in the ball

DOI10.1515/jiip-2013-0067zbMath1309.44001OpenAlexW2319508941MaRDI QIDQ2340096

Sergeĭ Gavrilovich Kazantsev

Publication date: 16 April 2015

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2013-0067

zbMATH Keywords

singular value decomposition (SVD)cone-beam transformbipolar spherical harmonics (BiPoSH)three-dimensional Zernike polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Radon transform (44A12) Numerical methods for integral transforms (65R10) Spherical harmonics (33C55) Numerical methods for inverse problems for integral equations (65R32)

Related Items (8)

Funk-Minkowski transform and spherical convolution of Hilbert type in reconstructing functions on the sphere ⋮ The cone-beam transform and spherical convolution operators ⋮ Singular Value Decomposition of the Wave Forward Operator with Radial Variable Coefficients ⋮ Orthogonal function series formulae for inversion of the conical Radon transform with a fixed central axis ⋮ Singular value decomposition of the attenuated conical Radon transform with a fixed central axis and opening angle ⋮ Orthogonal function series formulas for inversion of the spherical Radon transform ⋮ Singular value decomposition of the longitudinal ray transform of vector fields in a ball in cone beam coordinates ⋮ Commuting integral and differential operators and the master symmetries of the Korteweg–de Vries equation

This page was built for publication: Singular value decomposition for the cone-beam transform in the ball