An experimental comparison between the born and Rytov approximations in microwave tissue imaging

Tajik, Daniel; Shumakov, Denys S.; Nikolova, Natalia K.

doi:10.1109/mwsym.2017.8058875

Cited by 9 publications

(12 citation statements)

References 9 publications

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“…It is shown that sufficient fidelity is achievable through calibration measurements, whereas analytical approximations and simulations (such as those used in far-field imaging) often fail to accurately model the particular acquisition setup. Quantitative BA-based microwave holography has been proposed in [22,25]. To our knowledge, RA-QMH is derived for the first time here.…”

Section: Forward Model Based On Measurementsmentioning

confidence: 99%

“…It is critical to note that the differences between the Born and Rytov approximations are solely related to the approximation of the scattered field data. Since these modifications are all applied before the inversion stage and operate on the same dataset, RA-QMH can compute the reconstruction at the same speed as BA-QMH, which typically takes several seconds [22,25,27].…”

Section: Inversion Proceduresmentioning

confidence: 99%

“…It is important to analyze and compare how both BA-and RA-QMH perform in highly nonlinear tissue reconstruction. The work in [22] showed that RA-QMH was able to outperform BA-QMH in the measurement of a chicken wing embedded in a lossy medium. Both BA-and RA-QMH failed to estimate correctly the values of the complex tissue permittivity, but the RA-QMH images did identify the shape and location of the chicken wing tissues in the phantom.…”

Section: Comparison Of the Born And Rytov Approximations In Qmh Usingmentioning

confidence: 99%

“…Quantitative microwave holography (QMH) is a direct inversion approach typically based on BA, but can operate based on RA as well [22]. While microwave holography was originally developed for use in concealed weapons detection [23], the method has recently been adapted for near-field tissue imaging [24].…”

Section: Introductionmentioning

confidence: 99%

“…QMH is then introduced with the appropriate algorithmic modifications to allow for operation with either BA or RA. Note that while these modifications were first stated in [22], the current work provides the derivation of Rytov-based QMH (RA-QMH) for the first time. Next, the complications associated with solving the inverse problem in the Fourier domain are stated.…”

Section: Introductionmentioning

confidence: 99%

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Comparative Study of the Rytov and Born Approximations in Quantitative Microwave Holography

Tajik¹,

Pitcher²,

Nikolova³

2017

PIER B

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Quantitative microwave holography is a recent imaging methodology that shows promise in medical diagnostics. It is a real-time direct inversion algorithm that reconstructs the complex permittivity from S-parameter measurements on an acquisition surface outside of the imaged object. It is recognized that this imaging method suffers from limitations in tissue imaging due to a forward model which linearizes a highly nonlinear scattering problem. It is therefore important to study its limitations when reconstruction is aided by certain pre-and post-processing filters which are known to improve the image quality. The impact of filtering on the quantitative result is particularly important. In this work, the reconstruction equations of quantitative microwave holography are derived from first principles. The implementation of two linearizations strategies, Born's approximation and Rytov's approximation, is explained in detail in the case of a scattering model formulated in terms of S-parameters. Furthermore, real-space and Fourier-space filters are developed to achieve the best performance for the given linearized model of scattering. Simulated and experimental results demonstrate the limitations of the method and the necessity of filtering. The two approximations are also compared in experimental tissue reconstructions.

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Section: Forward Model Based On Measurementsmentioning

confidence: 99%

Section: Inversion Proceduresmentioning

confidence: 99%

Section: Comparison Of the Born And Rytov Approximations In Qmh Usingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Comparative Study of the Rytov and Born Approximations in Quantitative Microwave Holography

Tajik¹,

Pitcher²,

Nikolova³

2017

PIER B

Self Cite

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Regularized minimal residual method for permittivity reconstruction in microwave imaging

Magdum

Erramshetty

Jagannath

2020

Micro & Optical Tech Letters

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In this paper, a regularized reconstruction based on the minimal residual method is proposed for microwave imaging applications. The method provides optimum regularization parameter to estimate the distribution of permittivity values of unknown scatterers under test. Initially, the method is applied to Born approximated linear model for weak scatterers. The performance of this approach is compared with the commonly adopted Morozov's discrepancy principle used in conjunction with the Tikhonov regularization. The effectiveness of the method is assisted by simulating the various numerical examples of synthetic and experimental data. The results of numerical simulations validate that the proposed method is highly effective. Thereafter, a non‐linear inverse problem based on the inexact Newton method is examined for the estimation of strong scatterers. Here also, the proposed method is found to be helpful in terms of improving the image accuracy.

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Real-time Microwave Imaging of Breast Phantoms with Constrained Deconvolution of Planar Data

Tajik

Foroutan

Shumakov³

et al. 2018

2018 IEEE International Microwave Biomedical Conference (IMBioC)

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An experimental comparison between the born and Rytov approximations in microwave tissue imaging

Cited by 9 publications

References 9 publications

Comparative Study of the Rytov and Born Approximations in Quantitative Microwave Holography

Comparative Study of the Rytov and Born Approximations in Quantitative Microwave Holography

Regularized minimal residual method for permittivity reconstruction in microwave imaging

Real-time Microwave Imaging of Breast Phantoms with Constrained Deconvolution of Planar Data

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