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

Hong Qi, Yaobin Qiao, Shuangcheng Sun, Yuchen Yao and Liming Ruan

Mathematical Problems in Engineering, 2015, vol. 2015, 1-9

Abstract:

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:412315

DOI: 10.1155/2015/412315

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