物理学报Issue(10)：159-164,6.DOI:10.7498/aps.62.104204
快速多极边界元法用于扩散光学断层成像研究*
Fast multipole boundary element method for diffuse optical tomography∗
摘要
Abstract
The forward problem of diffuse optical tomography (DOT) is commonly solved by the finite element method (FEM) currently. However, with the increase of the model scale, the computational complexity of FEM increases significantly; while the boundary element method (BEM) attracts much attention because of its reduction in calculated dimensions. In this paper, the fast multipole boundary element method (FMBEM) for DOT is studied using a model of highly scattering homogenous medium. In FMBEM, by the multipole expansions of kernel functions, the product of matrix coefficient and iterative vector can be equivalent to the recursion of a quadtree;and then a generalized minimal residual method is used to solve the BEM equation iteratively. The calculations of the FMBEM are compared with Monte Carlo simulations. The results show that the calculations of the FMBEM are in good agreement with Monte Carlo simulations. This demonstrates the feasibility of FMBEM in DOT and indicates that the FMBEM has a bright future for large-scale and real-time imaging.关键词
扩散光学断层成像/边界元法/快速多极边界元法Key words
diffuse optical tomography/boundary element method/fast multipole boundary element method引用本文复制引用
许军,谢文浩,邓勇†,王侃,罗召洋,龚辉..快速多极边界元法用于扩散光学断层成像研究*[J].物理学报,2013,(10):159-164,6.基金项目
国家自然科学基金(批准号:61007006)、吉林省科技发展计划(批准号:20090309)和吉林省自然科学基金(批准号:20101510)资助的课题.@@@@Project supported by the National Natural Science Foundation of China (Grant No.61007006), the Science and Technology Development Program of Jilin Province, China (Grant No.20090309) and the Natural Science Foundation of Jilin Province, China (Grant No.20101510) （批准号:61007006）
