title: Meshless reconstruction method for fluorescence molecular tomography based on compactly supported radial basis function.
abstract: Fluorescence molecular tomography (FMT) is a promising tool in the study of cancer, drug discovery, and disease diagnosis, enabling noninvasive and quantitative imaging of the biodistribution of fluorophores in deep tissues via image reconstruction techniques. Conventional reconstruction methods based on the finite-element method (FEM) have achieved acceptable stability and efficiency. However, some inherent shortcomings in FEM meshes, such as time consumption in mesh generation and a large discretization error, limit further biomedical application. In this paper, we propose a meshless method for reconstruction of FMT (MM-FMT) using compactly supported radial basis functions (CSRBFs). With CSRBFs, the image domain can be accurately expressed by continuous CSRBFs, avoiding the discretization error to a certain degree. After direct collocation with CSRBFs, the conventional optimization techniques, including Tikhonov, L1-norm iteration shrinkage (L1-IS), and sparsity adaptive matching pursuit, were adopted to solve the meshless reconstruction. To evaluate the performance of the proposed MM-FMT, we performed numerical heterogeneous mouse experiments and in vivo bead-implanted mouse experiments. The results suggest that the proposed MM-FMT method can reduce the position error of the reconstruction result to smaller than 0.4 mm for the double-source case, which is a significant improvement for FMT.
authors.affiliation: Beijing Jiaotong University, School of Computer and Information, Department of Biomedical Engineering, No. 3 Shangyuancun Road, Beijing 100044, ChinabChinese Academy of Sciences, Institute of Automation, Key Laboratory of Molecular Imaging of Chinese Acad.
authors.forename: Yu
authors.initials: Y
authors.lastname: An
authors.affiliation: Beijing Jiaotong University, School of Computer and Information, Department of Biomedical Engineering, No. 3 Shangyuancun Road, Beijing 100044, China.
authors.forename: Jie
authors.initials: J
authors.lastname: Liu
authors.affiliation: Beijing Jiaotong University, School of Computer and Information, Department of Biomedical Engineering, No. 3 Shangyuancun Road, Beijing 100044, China.
authors.forename: Guanglei
authors.initials: G
authors.lastname: Zhang
authors.affiliation: Chinese Academy of Sciences, Institute of Automation, Key Laboratory of Molecular Imaging of Chinese Academy of Sciences, No. 95 Zhongguancun East Road, Beijing, China.
authors.forename: Jinzuo
authors.initials: J
authors.lastname: Ye
authors.affiliation: Chinese Academy of Sciences, Institute of Automation, Key Laboratory of Molecular Imaging of Chinese Academy of Sciences, No. 95 Zhongguancun East Road, Beijing, China.
authors.forename: Yamin
authors.initials: Y
authors.lastname: Mao
authors.affiliation: Beijing Jiaotong University, School of Computer and Information, Department of Biomedical Engineering, No. 3 Shangyuancun Road, Beijing 100044, China.
authors.forename: Shixin
authors.initials: S
authors.lastname: Jiang
authors.affiliation: Chinese Academy of Sciences, Institute of Automation, Key Laboratory of Molecular Imaging of Chinese Academy of Sciences, No. 95 Zhongguancun East Road, Beijing, China.
authors.forename: Wenting
authors.initials: W
authors.lastname: Shang
authors.affiliation: Chinese Academy of Sciences, Institute of Automation, Key Laboratory of Molecular Imaging of Chinese Academy of Sciences, No. 95 Zhongguancun East Road, Beijing, China.
authors.forename: Yang
authors.initials: Y
authors.lastname: Du
authors.affiliation: Chinese Academy of Sciences, Institute of Automation, Key Laboratory of Molecular Imaging of Chinese Academy of Sciences, No. 95 Zhongguancun East Road, Beijing, China.
authors.forename: Chongwei
authors.initials: C
authors.lastname: Chi
authors.affiliation: Chinese Academy of Sciences, Institute of Automation, Key Laboratory of Molecular Imaging of Chinese Academy of Sciences, No. 95 Zhongguancun East Road, Beijing, ChinacChinese Academy of Sciences, Institute of Automation, Beijing Key Laboratory of Molecul.
authors.forename: Jie
authors.initials: J
authors.lastname: Tian
mesh_terms: D000465:Algorithms; D000818:Animals; D020342:Finite Element Analysis; D007089:Image Enhancement / Q000379:methods; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D008113:Liver Neoplasms / Q000378:metabolism* / Q000473:pathology*; D051379:Mice; D008819:Mice, Nude; D008856:Microscopy, Fluorescence / Q000379:methods*; D057054:Molecular Imaging / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D041622:Tomography, Optical / Q000379:methods*