A stochastic image reconstruction methodology is proposed for solving the highly ill-posed inverse bioluminescent source problem in light-scattering media. The unknown source distribution is expressed in terms of a set of linearly independent source basis functions. The bioluminescent boundary flux originating from each source basis function is computed prior to image reconstruction by solving the equation of radiative transfer. The misfit between the measured and the predicted boundary flux is described by an error function, which is iteratively minimized by stochastically sampling the global parameter space of all basis functions. Selection and alteration mechanisms, which can be guided by evolutionary principles found in nature, lead to new stochastic samples of source distributions for the next iteration cycle. A least-squares-error solution, representing the sought image of the unknown source distribution, is obtained after convergence. Numerical experiments demonstrate the feasibility of reconstructing bioluminescent source distributions in tissuelike media.
© 2007 Optical Society of AmericaFull Article | PDF Article
Wenxiang Cong, Ge Wang, Durairaj Kumar, Yi Liu, Ming Jiang, Lihong V. Wang, Eric A. Hoffman, Geoffrey McLennan, Paul B. McCray, Joseph Zabner, and Alexander Cong
Opt. Express 13(18) 6756-6771 (2005)
Senhu Li, Qizhi Zhang, and Huabei Jiang
Appl. Opt. 45(14) 3390-3394 (2006)
Yujie Lv, Jie Tian, Wenxiang Cong, Ge Wang, Jie Luo, Wei Yang, and Hui Li
Opt. Express 14(18) 8211-8223 (2006)