::title::Local Convergence of an EM-like Image Reconstruction Method for Diffuse Optical Tomography
::author::1::Caifang Wang
::author::2::Tie Zhou
::address::1::College of Art and Sciences, Shanghai Maritime University, Shanghai 200135, China and LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China
::address::2::LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China
::email::wangcfg@gmail.com, tzhou@math.pku.edu.cn
::receive::Received 2009-8-2 Accepted 2010-1-13
::online::Available online 2010-9-20
::DOI::10.4208/jcm.1004-m3182
::keywords::Diffuse optical tomography, Image reconstruction, Fixed-point iteration, Local convergence.
::ams::78A70; 78M50; 93B15.
::abstract::
In this paper, an EM-like image reconstruction iterative formula which is specifically 
developed for stable external sources is rewritten as a map towards a fixed point 
iteration and its local convergence is proved. Finally a 3D numerical image 
reconstruction example is presented.