Simultaneous reconstruction of absorption and scattering distributions in turbid media using a Born iterative method

Yuqi Yao; Yao Wang; Yaling Pei; Wenwu Zhu; Randall Locke Barbour

doi:10.1117/12.224152

9 October 1995 Simultaneous reconstruction of absorption and scattering distributions in turbid media using a Born iterative method

Yuqi Yao, Yao Wang, Yaling Pei, Wenwu Zhu, Randall Locke Barbour

Author Affiliations +

Proceedings Volume 2570, Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications; (1995) https://doi.org/10.1117/12.224152
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

In this paper, we present a Born Iterative Method for imaging optical properties of turbid media using frequency-domain data. In each iteration, the incident field and the associated weight matrix are first recalculated based on the previous reconstructed image. A new estimate is then obtained by a multigrid finite difference method. The inversion is carried out through a Tikhonov regularized optimization process using the conjugate gradient descent. Using this method, the distribution of the complex wavenumbers in a test medium is first reconstructed, from which the absorption and scattering distributions are then derived. Simulation results have shown that this method can yield quantitatively quite accurate reconstruction even when a strong perturbation exists between the actual medium and an assumed homogeneous background medium, in which case the Born approximation cannot work well. Both full-angle and limited angle measurement schemes have been simulated to understand the effect of the location of detectors and sources.

Citation Download Citation

Yuqi Yao, Yao Wang, Yaling Pei, Wenwu Zhu, and Randall Locke Barbour "Simultaneous reconstruction of absorption and scattering distributions in turbid media using a Born iterative method", Proc. SPIE 2570, Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Nonmedical Applications, (9 October 1995); https://doi.org/10.1117/12.224152

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