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Fast Laplace Transforms for the Exponential Radon Transform

Andersson, Fredrik LU ; Carlsson, Marcus LU and Nikitin, Viktor V. LU (2018) In Journal of Fourier Analysis and Applications 24(2). p.431-450
Abstract

The Fourier slice theorem for the standard Radon transform generalizes to a Laplace counterpart when considering the exponential Radon transform. We show how to use this fact in combination with algorithms for the unequally spaced fast Laplace transform to construct fast and accurate methods for computing both the forward exponential Radon transform and the corresponding back-projection operator.

Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Exponential Radon transform, Fast Laplace transform, Incomplete data
in
Journal of Fourier Analysis and Applications
volume
24
issue
2
pages
20 pages
publisher
Springer
external identifiers
  • scopus:85014787578
ISSN
1069-5869
DOI
10.1007/s00041-017-9533-y
language
English
LU publication?
yes
id
19305fd7-51e2-4763-b3a4-dc3295540594
date added to LUP
2018-05-03 08:21:24
date last changed
2019-01-06 13:53:18
@article{19305fd7-51e2-4763-b3a4-dc3295540594,
  abstract     = {<p>The Fourier slice theorem for the standard Radon transform generalizes to a Laplace counterpart when considering the exponential Radon transform. We show how to use this fact in combination with algorithms for the unequally spaced fast Laplace transform to construct fast and accurate methods for computing both the forward exponential Radon transform and the corresponding back-projection operator.</p>},
  author       = {Andersson, Fredrik and Carlsson, Marcus and Nikitin, Viktor V.},
  issn         = {1069-5869},
  keyword      = {Exponential Radon transform,Fast Laplace transform,Incomplete data},
  language     = {eng},
  month        = {04},
  number       = {2},
  pages        = {431--450},
  publisher    = {Springer},
  series       = {Journal of Fourier Analysis and Applications},
  title        = {Fast Laplace Transforms for the Exponential Radon Transform},
  url          = {http://dx.doi.org/10.1007/s00041-017-9533-y},
  volume       = {24},
  year         = {2018},
}