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Image Reconstruction for Diffuse Optical Tomography Based on Radiative Transfer Equation

Diffuse optical tomography is a novel molecular imaging technology for small animal studies. Most known reconstruction methods use the diffusion equation (DA) as forward model, although the validation of DA breaks down in certain situations. In this work, we use the radiative transfer equation as fo...

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Detalles Bibliográficos
Autores principales: Bi, Bo, Han, Bo, Han, Weimin, Tang, Jinping, Li, Li
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4310238/
https://www.ncbi.nlm.nih.gov/pubmed/25648064
http://dx.doi.org/10.1155/2015/286161
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author Bi, Bo
Han, Bo
Han, Weimin
Tang, Jinping
Li, Li
author_facet Bi, Bo
Han, Bo
Han, Weimin
Tang, Jinping
Li, Li
author_sort Bi, Bo
collection PubMed
description Diffuse optical tomography is a novel molecular imaging technology for small animal studies. Most known reconstruction methods use the diffusion equation (DA) as forward model, although the validation of DA breaks down in certain situations. In this work, we use the radiative transfer equation as forward model which provides an accurate description of the light propagation within biological media and investigate the potential of sparsity constraints in solving the diffuse optical tomography inverse problem. The feasibility of the sparsity reconstruction approach is evaluated by boundary angular-averaged measurement data and internal angular-averaged measurement data. Simulation results demonstrate that in most of the test cases the reconstructions with sparsity regularization are both qualitatively and quantitatively more reliable than those with standard L (2) regularization. Results also show the competitive performance of the split Bregman algorithm for the DOT image reconstruction with sparsity regularization compared with other existing L (1) algorithms.
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spelling pubmed-43102382015-02-03 Image Reconstruction for Diffuse Optical Tomography Based on Radiative Transfer Equation Bi, Bo Han, Bo Han, Weimin Tang, Jinping Li, Li Comput Math Methods Med Research Article Diffuse optical tomography is a novel molecular imaging technology for small animal studies. Most known reconstruction methods use the diffusion equation (DA) as forward model, although the validation of DA breaks down in certain situations. In this work, we use the radiative transfer equation as forward model which provides an accurate description of the light propagation within biological media and investigate the potential of sparsity constraints in solving the diffuse optical tomography inverse problem. The feasibility of the sparsity reconstruction approach is evaluated by boundary angular-averaged measurement data and internal angular-averaged measurement data. Simulation results demonstrate that in most of the test cases the reconstructions with sparsity regularization are both qualitatively and quantitatively more reliable than those with standard L (2) regularization. Results also show the competitive performance of the split Bregman algorithm for the DOT image reconstruction with sparsity regularization compared with other existing L (1) algorithms. Hindawi Publishing Corporation 2015 2015-01-14 /pmc/articles/PMC4310238/ /pubmed/25648064 http://dx.doi.org/10.1155/2015/286161 Text en Copyright © 2015 Bo Bi et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Bi, Bo
Han, Bo
Han, Weimin
Tang, Jinping
Li, Li
Image Reconstruction for Diffuse Optical Tomography Based on Radiative Transfer Equation
title Image Reconstruction for Diffuse Optical Tomography Based on Radiative Transfer Equation
title_full Image Reconstruction for Diffuse Optical Tomography Based on Radiative Transfer Equation
title_fullStr Image Reconstruction for Diffuse Optical Tomography Based on Radiative Transfer Equation
title_full_unstemmed Image Reconstruction for Diffuse Optical Tomography Based on Radiative Transfer Equation
title_short Image Reconstruction for Diffuse Optical Tomography Based on Radiative Transfer Equation
title_sort image reconstruction for diffuse optical tomography based on radiative transfer equation
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4310238/
https://www.ncbi.nlm.nih.gov/pubmed/25648064
http://dx.doi.org/10.1155/2015/286161
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