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Proceedings Article

A fast reconstruction method for fluorescence molecular tomography based on improved iterated shrinkage

[+] Author Affiliations
Dong Han, Jie Tian, Chenghu Qin, Kai Liu, Xibo Ma

Institute of Automation (China)

Bo Zhang

Northeastern Univ. (China)

Proc. SPIE 7965, Medical Imaging 2011: Biomedical Applications in Molecular, Structural, and Functional Imaging, 79651C (March 08, 2011); doi:10.1117/12.878051
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From Conference Volume 7965

  • Medical Imaging 2011: Biomedical Applications in Molecular, Structural, and Functional Imaging
  • John B. Weaver; Robert C. Molthen
  • Lake Buena Vista, Florida | February 12, 2011

abstract

Fluorescence molecular tomography (FMT) has become a promising imaging modality for in vivo small animal molecular imaging, and has many successful applications. This is partly due to the wealth of the fluorescent probes. By labeling the regions of interest with fluorescent probes, FMT can achieve non-invasive investigation of the biological process by localizing the targeted probes based on certain inverse mathematical models. However, FMT is usually an illposed problem, and some form of regularization should be included to stabilize the problem, which can be considered as the a priori information of the fluorescent probe bio-distribution. When FMT is used for the early detection of tumors, an important characteristic is the sparsity of the fluorescent sources. This is because tumors are usually very small and sparse at this stage. Considering this, general sparsity-promoting Lp-norm regularization is utilized in this paper. The iterated shrinkage based reconstruction method is adopted to solve the general Lp regularization problem. However, the original iterated shrinkage method is proved to have a linear convergence rate, and a large number of iterations are needed to obtain satisfactory results. In this paper, an improved iterated shrinkage based FMT reconstruction algorithm is proposed. By using the solutions from two previous iterations to determine the current solution, the convergence rate can be greatly increased. Heterogeneous simulation experiment shows that the proposed method can obtain comparable results with greatly reduced number of iterations compared with the original iterated shrinkage based method, which makes it a practical reconstruction algorithm.

© (2011) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Citation

Dong Han ; Jie Tian ; Chenghu Qin ; Bo Zhang ; Kai Liu, et al.
"A fast reconstruction method for fluorescence molecular tomography based on improved iterated shrinkage", Proc. SPIE 7965, Medical Imaging 2011: Biomedical Applications in Molecular, Structural, and Functional Imaging, 79651C (March 08, 2011); doi:10.1117/12.878051; http://dx.doi.org/10.1117/12.878051


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