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Mathematical Problems in Engineering
Volume 2015, Article ID 412315, 9 pages
Research Article

Image Reconstruction of Two-Dimensional Highly Scattering Inhomogeneous Medium Using MAP-Based Estimation

School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China

Received 5 July 2014; Revised 11 November 2014; Accepted 15 November 2014

Academic Editor: Subhash Chandra Mishra

Copyright © 2015 Hong Qi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A maximum a posteriori (MAP) estimation based on Bayesian framework is applied to image reconstruction of two-dimensional highly scattering inhomogeneous medium. The finite difference method (FDM) and conjugate gradient (CG) algorithm serve as the forward and inverse solving models, respectively. The generalized Gaussian Markov random field model (GGMRF) is treated as the regularization, and finally the influence of the measurement errors and initial distributions is investigated. Through the test cases, the MAP estimate algorithm is demonstrated to greatly improve the reconstruction results of the optical coefficients.