Fast Laplace Transforms for the Exponential Radon Transform
(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:
https://lup.lub.lu.se/record/19305fd7-51e2-4763-b3a4-dc3295540594
- author
- Andersson, Fredrik LU ; Carlsson, Marcus LU and Nikitin, Viktor V. LU
- organization
- publishing date
- 2018-04-01
- 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
- 2022-05-10 23:34:14
@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}}, keywords = {{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}}, doi = {{10.1007/s00041-017-9533-y}}, volume = {{24}}, year = {{2018}}, }