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A matrix-free algorithm for multiple wavelength fluorescence tomography

Zacharopoulos, AD; Svenmarker, P; Axelsson, J; Schweiger, M; Arridge, SR; Andersson-Engels, S; (2009) A matrix-free algorithm for multiple wavelength fluorescence tomography. Optics express , 17 (5) 3025 - 3035. 10.1364/OE.17.003025. Green and gold open access

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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.

Type:Article
Title:A matrix-free algorithm for multiple wavelength fluorescence tomography
Open access status:An open access publication. A version is also available from UCL Discovery.
DOI:10.1364/OE.17.003025
Publisher version:http://dx.doi.org/10.1364/OE.17.003025
Language:English
Additional information:This paper was published in Optics Express and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://dx.doi.org/10.1364/OE.17.003025. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
Keywords:Diffuse optical tomography, Large data sets, Image-reconstruction, Optimization, Media
UCL classification:UCL > School of BEAMS > Faculty of Engineering Science > Computer Science

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