Inversion algorithms for the spherical Radon and cosine transform

DOI10.1088/0266-5611/27/3/035015zbMath1221.65324OpenAlexW2057202849MaRDI QIDQ3086016

Martin Riplinger, Malte Spiess, Alfred K. Louis, Evgueni Spodarev

Publication date: 29 March 2011

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1feb37f7f0cbcdfdf7bc80089bf4d91ad36c3105

zbMATH Keywords

numerical resultsnumerical examplesinverse problemsinversion algorithmspherical Radon transformnumerical reconstructionspherical cosine transform

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for integral transforms (65R10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Numerical methods for trigonometric approximation and interpolation (65T40) Numerical methods for inverse problems for integral equations (65R32)

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Funk-Minkowski transform and spherical convolution of Hilbert type in reconstructing functions on the sphere ⋮ Three-Dimensional Image Reconstruction from Compton Camera Data ⋮ Reconstructing a function on the sphere from its means along vertical slices ⋮ Approximate image reconstruction in landscape reflection imaging ⋮ Sliced optimal transport on the sphere ⋮ A discrete Funk transform on the cubed sphere ⋮ Approximate inverse for the common offset acquisition geometry in 2D seismic imaging ⋮ A generalization of the Funk–Radon transform ⋮ Asymptotic Properties of the Approximate Inverse Estimator for Directional Distributions ⋮ On a Mixture Model for Directional Data on the Sphere

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