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

Author

Chew, W.C. ; Wang, Y.M.

Author_Institution

Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA

Volume

9

Issue

2

fYear

1990

fDate

6/1/1990 12:00:00 AM

Firstpage

218

Lastpage

225

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

Keywords

convergence of numerical methods; inverse problems; iterative methods; permittivity; scattering; 2D inverse scattering problems; 2D permittivity distribution reconstruction; Rytov approximation; convergence rate; distorted Born iterative method; first-order Born approximation; noise contamination; numerical simulation; Approximation methods; Convergence; Image reconstruction; Inverse problems; Iterative methods; Noise robustness; Numerical simulation; Permittivity; Predistortion; Scattering;

fLanguage

English

Journal_Title

Medical Imaging, IEEE Transactions on

Publisher

ieee

ISSN

0278-0062

Type

jour

DOI

10.1109/42.56334

Filename

56334