# Half Thresholding Pursuit Algorithm for Fluorescence Molecular Tomography

Xuelei He, Jingjing Yu, Xiaodong Wang, Huangjian Yi, Yanrong Chen, Xiaolei Song, Xiaowei He

Research output: Contribution to journalArticle

### Abstract

Objective: Fluorescence Molecular Tomography (FMT) is a promising optical tool for small animal imaging. The <formula><tex>$\ell_{1/2}$</tex></formula>-norm regularization has attracted attention in the field of FMT due to its ability in enhancing sparsity of solution and coping with the high ill-posedness of the inverse problem. However, efficient algorithm for solving the non-convex regularized model deserve to explore. Method: A Half Thresholding Pursuit Algorithm (HTPA) combined with parameter optimization is proposed in this paper to efficiently solve the non-convex optimization model. Specifically, the half thresholding iteration method is utilized to solve <formula><tex>$\ell_{1/2}$</tex></formula>-norm model, pursuit strategy is used to accelerate the process of iteration, and the parameter optimization scheme is designed to obtain robust parameter. Results: Analysis and assessment on simulated and experimental data demonstrate that the proposed HTPA performs better in location accuracy and reconstructed fluorescent yield in less time cost, compared with the state-of-the-art reconstruction algorithms. Conclusion: The proposed HTPA combined with the parameter optimization scheme is an efficient and robust reconstruction approach to FMT.

Original language English (US) IEEE Transactions on Biomedical Engineering https://doi.org/10.1109/TBME.2018.2874699 Accepted/In press - Jan 1 2018 Yes

### Fingerprint

Tomography
Fluorescence
Inverse problems
Animals
Imaging techniques
Costs

### Keywords

• fluorescence molecular tomography (FMT)
• inverse problem

### ASJC Scopus subject areas

• Biomedical Engineering

### Cite this

Half Thresholding Pursuit Algorithm for Fluorescence Molecular Tomography. / He, Xuelei; Yu, Jingjing; Wang, Xiaodong; Yi, Huangjian; Chen, Yanrong; Song, Xiaolei; He, Xiaowei.

In: IEEE Transactions on Biomedical Engineering, 01.01.2018.

Research output: Contribution to journalArticle

He, Xuelei ; Yu, Jingjing ; Wang, Xiaodong ; Yi, Huangjian ; Chen, Yanrong ; Song, Xiaolei ; He, Xiaowei. / Half Thresholding Pursuit Algorithm for Fluorescence Molecular Tomography. In: IEEE Transactions on Biomedical Engineering. 2018.
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AU - He, Xiaowei

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