A Fast Reconstruction Algorithm for Fluorescence Optical Diffusion Tomography Based on Preiteration
Fluorescence optical diffusion tomography in the near-infrared (NIR) bandwidth is considered to be one of the most promising ways for noninvasive molecular-based imaging. Many reconstructive approaches to it utilize iterative methods for data inversion. However, they are time-consuming and they are...
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2007-01-01
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Series: | International Journal of Biomedical Imaging |
Online Access: | http://dx.doi.org/10.1155/2007/23219 |
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doaj-b836198a272143998d3bf2634199c94f2020-11-24T22:57:44ZengHindawi LimitedInternational Journal of Biomedical Imaging1687-41881687-41962007-01-01200710.1155/2007/2321923219A Fast Reconstruction Algorithm for Fluorescence Optical Diffusion Tomography Based on PreiterationXiaolei Song0Xiaoyun Xiong1Jing Bai2Department of Biomedical Engineering, Tsinghua University, Beijing 100084, ChinaDepartment 2, College of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, ChinaDepartment of Biomedical Engineering, Tsinghua University, Beijing 100084, ChinaFluorescence optical diffusion tomography in the near-infrared (NIR) bandwidth is considered to be one of the most promising ways for noninvasive molecular-based imaging. Many reconstructive approaches to it utilize iterative methods for data inversion. However, they are time-consuming and they are far from meeting the real-time imaging demands. In this work, a fast preiteration algorithm based on the generalized inverse matrix is proposed. This method needs only one step of matrix-vector multiplication online, by pushing the iteration process to be executed offline. In the preiteration process, the second-order iterative format is employed to exponentially accelerate the convergence. Simulations based on an analytical diffusion model show that the distribution of fluorescent yield can be well estimated by this algorithm and the reconstructed speed is remarkably increased.http://dx.doi.org/10.1155/2007/23219 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Xiaolei Song Xiaoyun Xiong Jing Bai |
spellingShingle |
Xiaolei Song Xiaoyun Xiong Jing Bai A Fast Reconstruction Algorithm for Fluorescence Optical Diffusion Tomography Based on Preiteration International Journal of Biomedical Imaging |
author_facet |
Xiaolei Song Xiaoyun Xiong Jing Bai |
author_sort |
Xiaolei Song |
title |
A Fast Reconstruction Algorithm for Fluorescence Optical Diffusion Tomography Based on Preiteration |
title_short |
A Fast Reconstruction Algorithm for Fluorescence Optical Diffusion Tomography Based on Preiteration |
title_full |
A Fast Reconstruction Algorithm for Fluorescence Optical Diffusion Tomography Based on Preiteration |
title_fullStr |
A Fast Reconstruction Algorithm for Fluorescence Optical Diffusion Tomography Based on Preiteration |
title_full_unstemmed |
A Fast Reconstruction Algorithm for Fluorescence Optical Diffusion Tomography Based on Preiteration |
title_sort |
fast reconstruction algorithm for fluorescence optical diffusion tomography based on preiteration |
publisher |
Hindawi Limited |
series |
International Journal of Biomedical Imaging |
issn |
1687-4188 1687-4196 |
publishDate |
2007-01-01 |
description |
Fluorescence optical diffusion tomography in the near-infrared (NIR) bandwidth is considered to be one of the most promising ways for noninvasive molecular-based imaging. Many reconstructive approaches to it utilize iterative methods for data inversion. However, they are time-consuming and they are far from meeting the real-time imaging demands. In this work, a fast preiteration algorithm based on the generalized inverse matrix is proposed. This method needs only one step of matrix-vector multiplication online, by pushing the iteration process to be executed offline. In the preiteration process, the second-order iterative format is employed to exponentially accelerate the convergence. Simulations based on an analytical diffusion model show that the distribution of fluorescent yield can be well estimated by this algorithm and the reconstructed speed is remarkably increased. |
url |
http://dx.doi.org/10.1155/2007/23219 |
work_keys_str_mv |
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1725649373513121792 |