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利用畸变玻恩迭代法重建二维介电常数分布。

Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method.

机构信息

Dept. of Electr. and Comput. Eng., Illinois Univ., Urbana, IL.

出版信息

IEEE Trans Med Imaging. 1990;9(2):218-25. doi: 10.1109/42.56334.

DOI:10.1109/42.56334

PMID:18222767

Abstract

The distorted Born iterative method (DBIM) is used to solve two-dimensional inverse scattering problems, thereby providing another general method to solve the two-dimensional imaging problem when the Born and the Rytov approximations break down. Numerical simulations are performed using the DBIM and the method proposed previously by the authors (Int. J. Imaging Syst. Technol., vol.1, no.1, p.100-8, 1989) called the Born iterative method (BIM) for several cases in which the conditions for the first-order Born approximation are not satisfied. The results show that each method has its advantages; the DBIM shows faster convergence rate compared to the BIM, while the BIM is more robust to noise contamination compared to the DBIM.

摘要

扭曲的 Born 迭代法（DBIM）用于解决二维逆散射问题，从而提供了一种在 Born 和 Rytov 近似失效时解决二维成像问题的通用方法。使用 DBIM 和作者之前提出的方法（Int. J. Imaging Syst. Technol.，vol.1，no.1，p.100-8，1989），即 Born 迭代法（BIM），对几种不满足一阶 Born 近似条件的情况进行了数值模拟。结果表明，每种方法都有其优点；与 BIM 相比，DBIM 具有更快的收敛速度，而与 DBIM 相比，BIM 对噪声污染更具鲁棒性。