Optimal mollifiers for spherical deconvolution

DOI10.1088/0266-5611/31/8/085001zbMath1405.65182OpenAlexW2099443235MaRDI QIDQ3450353

Michael Quellmalz, Ralf Hielscher

Publication date: 3 November 2015

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

Full work available at URL: https://doi.org/10.1088/0266-5611/31/8/085001

zbMATH Keywords

spherical harmonicsstatistical inverse problemsspherical Radon transformspherical deconvolution

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for inverse problems for integral equations (65R32) Inverse problems for integral equations (45Q05)

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Total Variation-Based Reconstruction and Phase Retrieval for Diffraction Tomography ⋮ Approximation properties of the double Fourier sphere method ⋮ Reconstructing a function on the sphere from its means along vertical slices ⋮ An SVD in Spherical Surface Wave Tomography ⋮ The cone-beam transform and spherical convolution operators ⋮ Sliced optimal transport on the sphere ⋮ The Funk-Radon transform for hyperplane sections through a common point ⋮ A generalization of the Funk–Radon transform ⋮ Fast cross-validation in harmonic approximation

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