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A matrix-free algorithm for multiple wavelength fluorescence tomography

Zacharopoulos, Athanasios D.; Svenmarker, Pontus LU ; Axelsson, Johan LU ; Schweiger, Martin; Arridge, Simon R. and Andersson-Engels, Stefan LU (2009) In Optics Express 17(5). p.3025-3035
Abstract
In the recent years, there has been an increase in applications of non-contact diffusion optical tomography. Especially when the objective is the recovery of fluorescence targets. The non-contact acquisition systems with the use of a CCD-camera produce much denser sampled boundary data sets than fibre-based systems. When model-based reconstruction methods are used, that rely on the inversion of a derivative operator, the large number of measurements poses a challenge since the explicit formulation and storage of the Jacobian matrix could be in general not feasible. This problem is aggravated further in applications, where measurements at multiple wavelengths are used. We present a matrix-free model-based reconstruction method, that... (More)
In the recent years, there has been an increase in applications of non-contact diffusion optical tomography. Especially when the objective is the recovery of fluorescence targets. The non-contact acquisition systems with the use of a CCD-camera produce much denser sampled boundary data sets than fibre-based systems. When model-based reconstruction methods are used, that rely on the inversion of a derivative operator, the large number of measurements poses a challenge since the explicit formulation and storage of the Jacobian matrix could be in general not feasible. This problem is aggravated further in applications, where measurements at multiple wavelengths are used. We present a matrix-free model-based reconstruction method, that addresses the problems of large data sets and reduces the computational cost and memory requirements for the reconstruction. The idea behind the matrix-free method is that information about the Jacobian matrix could be available through matrix times vector products so that the creation and storage of big matrices can be avoided. We tested the method for multiple wavelength fluorescence tomography with simulated and experimental data from phantom experiments, and we found substantial benefits in computational times and memory requirements. (C) 2009 Optical Society of America (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Optics Express
volume
17
issue
5
pages
3025 - 3035
publisher
OSA
external identifiers
  • wos:000264090900004
  • scopus:61549112827
ISSN
1094-4087
DOI
10.1364/OE.17.003042
language
English
LU publication?
yes
id
6b379f0d-bfab-4ecf-a037-19cd4862b1f8 (old id 1404618)
date added to LUP
2009-06-12 12:40:26
date last changed
2017-09-10 04:21:41
@article{6b379f0d-bfab-4ecf-a037-19cd4862b1f8,
  abstract     = {In the recent years, there has been an increase in applications of non-contact diffusion optical tomography. Especially when the objective is the recovery of fluorescence targets. The non-contact acquisition systems with the use of a CCD-camera produce much denser sampled boundary data sets than fibre-based systems. When model-based reconstruction methods are used, that rely on the inversion of a derivative operator, the large number of measurements poses a challenge since the explicit formulation and storage of the Jacobian matrix could be in general not feasible. This problem is aggravated further in applications, where measurements at multiple wavelengths are used. We present a matrix-free model-based reconstruction method, that addresses the problems of large data sets and reduces the computational cost and memory requirements for the reconstruction. The idea behind the matrix-free method is that information about the Jacobian matrix could be available through matrix times vector products so that the creation and storage of big matrices can be avoided. We tested the method for multiple wavelength fluorescence tomography with simulated and experimental data from phantom experiments, and we found substantial benefits in computational times and memory requirements. (C) 2009 Optical Society of America},
  author       = {Zacharopoulos, Athanasios D. and Svenmarker, Pontus and Axelsson, Johan and Schweiger, Martin and Arridge, Simon R. and Andersson-Engels, Stefan},
  issn         = {1094-4087},
  language     = {eng},
  number       = {5},
  pages        = {3025--3035},
  publisher    = {OSA},
  series       = {Optics Express},
  title        = {A matrix-free algorithm for multiple wavelength fluorescence tomography},
  url          = {http://dx.doi.org/10.1364/OE.17.003042},
  volume       = {17},
  year         = {2009},
}