Microwave Imaging via Distorted Iterated Virtual Experiments

Palmeri, Roberta; Bevacqua, Martina T.; Crocco, Lorenzo; Isernia, Tommaso; Donato, Loreto Di

doi:10.1109/tap.2016.2633070

Cited by 54 publications

(36 citation statements)

References 44 publications

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“…We also refer to Figure 12 to compare the artifacts. Hence, we can conclude that proposed method is an improvement over the traditional approach and that by taking an outline as an initial guess, the complete shape of an anomaly can be retrieved by applying a Newton-type method, level-set technique, or other quantitative inversion strategies, refer to [20,22,23,54,55,56,57,58].…”

Section: Imaging Of An Extended Anomalymentioning

confidence: 90%

Real-time microwave imaging of unknown anomalies via scattering matrix

Park

2019

Mechanical Systems and Signal Processing

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We consider an inverse scattering problem to identify the locations or shapes of unknown anomalies from scattering parameter data collected by a small number of dipole antennas. Most of researches does not considered the influence of dipole antennas but in the experimental simulation, they are significantly affect to the identification of anomalies. Moreover, opposite to the theoretical results, it is impossible to handle scattering parameter data when the locations of the transducer and receiver are the same in real-world application. Motivated by this, we design an imaging function with and without diagonal elements of the so-called scattering matrix. This concept is based on the Born approximation and the physical interpretation of the measurement data when the locations of the transducer and receiver are the same and different. We carefully explore the mathematical structures of traditional and proposed imaging functions by finding relationships with the infinite series of Bessel functions of integer order. The explored structures reveal certain properties of imaging functions and show why the proposed method is better than the traditional approach. We present the experimental results for small and extended anomalies using synthetic and real data at several angular frequencies to demonstrate the effectiveness of our technique.

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Section: Imaging Of An Extended Anomalymentioning

confidence: 90%

Real-time microwave imaging of unknown anomalies via scattering matrix

Park

2019

Mechanical Systems and Signal Processing

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“…when kΔtx i −z n /c 0 and is zero otherwise. To generate the scattered pressure field p s at the receivers, we simulate the total pressure field p in the presence of the scatterers by finite-difference modeling and subtract from it the unperturbed pressure field computed using equation (18) with the grid points z n replaced by the source points x s .…”

Section: Numerical Experimentsmentioning

confidence: 99%

“…Consequently, an image of the scatterer can be obtained by noting where the norm of the solution becomes arbitrarily large. More recently, it has been shown that quantitative information about the scatterer can be extracted from the linear sampling method [14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

An acoustic Lippmann-Schwinger inversion method: applications and comparison with the linear sampling method

Prunty

Snieder

2020

J. Phys. Commun.

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We introduce an imaging method based on solving the Lippmann-Schwinger equation of acoustic scattering theory. We compare and contrast the proposed Lippmann-Schwinger inversion with the well-established linear sampling method using numerical examples. We demonstrate that the two imaging methods are physically grounded in different but related wave propagation problems: Lippmann-Schwinger inversion seeks to reconstruct the space and time dependence of a scatterer based on the observed scattered field in a performed physical experiment, whereas the linear sampling method seeks to focus wave fields in a simulated virtual experiment by estimating the space and time dependence of an inverse source function that cancels the effects of the scatterer at a specified focusing point. In both cases, the medium in which the waves propagate is the same; however, neither method requires prior knowledge or assumptions on the physical properties of the unknown scatterer-only knowledge of the background medium is needed. We demonstrate that the linear sampling method is preferable to Lippmann-Schwinger inversion for target-oriented imaging applications, as Lippmann-Schwinger inversion gives nonphysical results when the chosen imaging domain does not contain the scatterer.

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“…With respect to this frame, this paper proposes an innovative approach for quantitative MWI that is particularly suitable for the reconstruction of complex scenarios. It is based on a local optimization approach, and combines a recently introduced iterative procedure based on the virtual experiments (VE) framework, called distorted iterated virtual experiments (DIVE) [21], and a multiresolution strategy based on regularization by projection, wherein the wavelet basis is conveniently exploited to represent the unknown EPs of the target [22].…”

Section: Introductionmentioning

confidence: 99%

“…In [21], the DIVE method has been presented and tested in canonical scenarios, whose EPs were retrieved by exploiting the truncated singular value decomposition (TSVD) [23] or the total variation-compressive sensing (TV-CS) approach [24]. Both approaches represent a regularized inversion scheme for the linear problem involved at each DIVE iteration.…”

Section: Introductionmentioning

confidence: 99%

Multiresolution Virtual Experiments for Microwave Imaging of Complex Scenarios

2019

Self Cite

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In this paper, a multiresolution approach for the quantitative microwave imaging of complex scenarios is introduced. The proposed strategy takes advantage of the combined use of a recently introduced iterative method known as distorted iterated virtual experiments (DIVE), based on the paradigm of “virtual experiments”, and a wavelet-based projection scheme. This strategy allows the unknown profiles to be represented at different resolution scales and, as such, it is particularly suitable for the imaging of highly heterogeneous targets. Moreover, the developed algorithm blends together the intrinsic multiresolution feature of the wavelet projection with the one gained by means of a frequency hopping technique. The method was tested against realistic heterogeneous scenarios of practical interest, such as breast and tree trunk phantoms, which are of interest in non-invasive medical diagnostics and the health monitoring of standing trees.

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Microwave Imaging via Distorted Iterated Virtual Experiments

Cited by 54 publications

References 44 publications

Real-time microwave imaging of unknown anomalies via scattering matrix

Real-time microwave imaging of unknown anomalies via scattering matrix

An acoustic Lippmann-Schwinger inversion method: applications and comparison with the linear sampling method

Multiresolution Virtual Experiments for Microwave Imaging of Complex Scenarios

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