Exact cone beam reconstruction formulae for functions and their gradients for spherical and flat detectors

DOI10.1088/0266-5611/32/11/115005zbMath1357.44001OpenAlexW2522477460MaRDI QIDQ2835436

Alfred K. Louis

Publication date: 2 December 2016

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

Full work available at URL: https://doi.org/10.1088/0266-5611/32/11/115005

zbMATH Keywords

inversion formulaefeature reconstructioncone beam tomographydirect calculation of derivatives

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Radon transform (44A12)

Related Items (5)

Funk-Minkowski transform and spherical convolution of Hilbert type in reconstructing functions on the sphere ⋮ The cone-beam transform and spherical convolution operators ⋮ Resolution of 2 Dimensional Reconstruction of Functions with Nonsmooth Edges from Discrete Radon Transform Data ⋮ Analysis of resolution of tomographic-type reconstruction from discrete data for a class of distributions ⋮ Singular value decomposition of the longitudinal ray transform of vector fields in a ball in cone beam coordinates

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