Reconstruction of Two-Dimensional Permittivity Distribution Using the Distorted Born Iterative Method

W. C. Chew; Y. M. Wang

doi:10.1109/42.56334

Reconstruction of Two-Dimensional Permittivity Distribution Using the Distorted Born Iterative Method

W. C. Chew, Y. M. Wang

Research output: Contribution to journal › Article › peer-review

Abstract

The distorted Born iterative method (DBIM) is used to solve two-dimensional inverse scattering problems. The purpose of this algorithm is to provide 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 distorted Born iterative method and the method proposed in our previous paper [called the Born iterative method (BIM)] for several cases where the conditions for the first-order Born approximation are not satisfied. The results show that each method has its advantages. The distorted Born iterative method shows faster convergence rate compared to the Born iterative method, while the Born iterative method is more robust to noise contamination compared to the distorted Born iterative method.

Original language	English (US)
Pages (from-to)	218-225
Number of pages	8
Journal	IEEE transactions on medical imaging
Volume	9
Issue number	2
DOIs	https://doi.org/10.1109/42.56334
State	Published - Jun 1990
Externally published	Yes

ASJC Scopus subject areas

Software
Radiological and Ultrasound Technology
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/42.56334

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title = "Reconstruction of Two-Dimensional Permittivity Distribution Using the Distorted Born Iterative Method",

abstract = "The distorted Born iterative method (DBIM) is used to solve two-dimensional inverse scattering problems. The purpose of this algorithm is to provide 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 distorted Born iterative method and the method proposed in our previous paper [called the Born iterative method (BIM)] for several cases where the conditions for the first-order Born approximation are not satisfied. The results show that each method has its advantages. The distorted Born iterative method shows faster convergence rate compared to the Born iterative method, while the Born iterative method is more robust to noise contamination compared to the distorted Born iterative method.",

author = "Chew, {W. C.} and Wang, {Y. M.}",

note = "Funding Information: Manuscript received June 28, 1989; revised November 30, 1989. This work was supported by the National Science Foundation under Grant NSF ECS-85-25891, by the Office of Naval Research under Grant N000-14-89-31286, by Schlumberger, and by TRW. Computer time was partly provided by the National Center for Supercomputer Applications at the University of Illinois. The authors are with the Electrornagnetics Laboratory, Department of Electrical and Computer Engineering, University of Illinois. Urbana, 1L 61801. IEEE Log Number 9034446.",

year = "1990",

month = jun,

doi = "10.1109/42.56334",

language = "English (US)",

volume = "9",

pages = "218--225",

journal = "IEEE Transactions on Medical Imaging",

issn = "0278-0062",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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T1 - Reconstruction of Two-Dimensional Permittivity Distribution Using the Distorted Born Iterative Method

AU - Chew, W. C.

AU - Wang, Y. M.

N1 - Funding Information: Manuscript received June 28, 1989; revised November 30, 1989. This work was supported by the National Science Foundation under Grant NSF ECS-85-25891, by the Office of Naval Research under Grant N000-14-89-31286, by Schlumberger, and by TRW. Computer time was partly provided by the National Center for Supercomputer Applications at the University of Illinois. The authors are with the Electrornagnetics Laboratory, Department of Electrical and Computer Engineering, University of Illinois. Urbana, 1L 61801. IEEE Log Number 9034446.

PY - 1990/6

Y1 - 1990/6

N2 - The distorted Born iterative method (DBIM) is used to solve two-dimensional inverse scattering problems. The purpose of this algorithm is to provide 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 distorted Born iterative method and the method proposed in our previous paper [called the Born iterative method (BIM)] for several cases where the conditions for the first-order Born approximation are not satisfied. The results show that each method has its advantages. The distorted Born iterative method shows faster convergence rate compared to the Born iterative method, while the Born iterative method is more robust to noise contamination compared to the distorted Born iterative method.

AB - The distorted Born iterative method (DBIM) is used to solve two-dimensional inverse scattering problems. The purpose of this algorithm is to provide 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 distorted Born iterative method and the method proposed in our previous paper [called the Born iterative method (BIM)] for several cases where the conditions for the first-order Born approximation are not satisfied. The results show that each method has its advantages. The distorted Born iterative method shows faster convergence rate compared to the Born iterative method, while the Born iterative method is more robust to noise contamination compared to the distorted Born iterative method.

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Reconstruction of Two-Dimensional Permittivity Distribution Using the Distorted Born Iterative Method

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