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

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  • Hong Qi
  • Yaobin Qiao
  • Shuangcheng Sun
  • Yuchen Yao
  • Liming Ruan

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.

Suggested Citation

  • Hong Qi & Yaobin Qiao & Shuangcheng Sun & Yuchen Yao & Liming Ruan, 2015. "Image Reconstruction of Two-Dimensional Highly Scattering Inhomogeneous Medium Using MAP-Based Estimation," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-9, March.
    • Handle: RePEc:hin:jnlmpe:412315
    DOI: 10.1155/2015/412315
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