Fast Laplace transforms for the exponential Radon transform

DOI10.1007/s00041-017-9533-yzbMath1444.65071OpenAlexW2593757074WikidataQ59611671 ScholiaQ59611671MaRDI QIDQ1746600

Marcus Carlsson, Fredrik Andersson, Viktor V. Nikitin

Publication date: 25 April 2018

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-017-9533-y

zbMATH Keywords

exponential Radon transformfast Laplace transform

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for wavelets (65T60) Numerical methods for integral transforms (65R10) Numerical methods for inverse problems for integral equations (65R32)

Cites Work

• On the inversion of the attenuated Radon transform
• Two-dimensional tomography problems and the theory of \(A\)-analytic functions
• An inversion formula for the attenuated \(X\)-ray transformation
• On the exponential Radon transform and its extension to certain functions spaces
• Novikov's inversion formula for the attenuated Radon transform -- a new approach
• An explicit inversion formula for the exponential Radon transform using data from \(180^\circ\)
• On the fast Fourier transform of functions with singularities
• Range conditions for the exponential Radon transform
• Algorithms for unequally spaced fast Laplace transforms
• A new exact inversion method for exponential Radon transform using the harmonic analysis of the Euclidean motion group
• Inversion of the attenuated Radon transform
• Cormack-type inversion of exponential Radon transform
• Cormack-type inversion of attenuated Radon transform
• The inversion problem and applications of the generalized radon transform
• The Exponential Radon Transform
• Fast Fourier Transforms for Nonequispaced Data
• Accelerating the Nonuniform Fast Fourier Transform

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