A nonlinear estimation method in tomographic imaging

Isernia, Tommaso; Pascazio, Vito; Pierri, Rocco

doi:10.1109/36.602533

Cited by 132 publications

(121 citation statements)

References 31 publications

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“…It is important to highlight that the amount of nonredundant information which can be collected is bounded [4] and, so, only a finite number of independent experiments or measurements can be made.…”

Section: Statement Of the Problemmentioning

confidence: 99%

“…It is known that the solution of inverse scattering problems can take advantage from multiple (or multiview) experiments [4], i.e., from considering fields illuminating the targets from a set of angles . Due to the linearity of the scattering phenomena, a superposition of these incident fields, with known coefficients , gives rise to a scattered field which the same superposition of the corresponding scattered fields.…”

Section: A "Synthetic Experiments" Frameworkmentioning

confidence: 99%

See 1 more Smart Citation

New approaches to inverse scattering exploiting synthetic experiments

Bevacqua

Isernia

Crocco

et al. 2014

2014 IEEE Antennas and Propagation Society International Symposium (APSURSI)

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Section: Statement Of the Problemmentioning

confidence: 99%

Section: A "Synthetic Experiments" Frameworkmentioning

confidence: 99%

New approaches to inverse scattering exploiting synthetic experiments

Bevacqua

Isernia

Crocco

et al. 2014

2014 IEEE Antennas and Propagation Society International Symposium (APSURSI)

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“…These approaches simplify the imaging problem by considering some approximations, but also limit the range of retrievable profiles. A second class of methods aims at rigorously solving the nonlinear inverse scattering equations, usually reformulating the original problem into an optimization one [9][10] [11] [12] [13] [14] [15]. Such approaches extend the range of retrievable objects but they also make the reconstruction problem more troublesome and computationally expensive since the arising non-linearity and ill-posedness have to be suitably addressed.…”

Section: Introductionmentioning

confidence: 99%

Iterative image reconstruction of two-dimensional scatterers illuminated by TE waves

Franceschini

Donell²,

Franceschini³

et al. 2006

IEEE Trans. Microwave Theory Techn.

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The iterative reconstruction of unknown objects from TE measured scattered field data is presented. The paper investigates the performance of the iterative multiscaling approach (IMSA) in exploiting transverse electric (TE) illuminations. As a matter of fact, in these conditions, the problem turns out to be more complicated than the TM scalar one in terms of mathematical model as well as computational costs. However, it is expected that more information on the scenario under test can be drawn from scattered data. Therefore, this work is aimed at verifying whether the TE case can provide additional information on the scenario under test (compared to the TM illumination) and how such an enhancement can be suitably exploited by the IMSA for improving the reconstruction accuracy of the retrieval process. Such an analysis will be carried out by means of a set of numerical experiments concerned with dielectric and metallic targets in single and multiple objects configurations. Synthetic as well as experimental data will be dealt with.

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“…Other techniques are associated with an iterative minimization of the distance between measured and estimated values of the scattered field data [15]- [17]. Finally, nonlinear quadratic inversion techniques are very promising [18].…”

Section: Introductionmentioning

confidence: 99%

Microwave imaging using the finite-element method and a sensitivity analysis approach

Rekanos

Panas

Tsiboukis

1999

IEEE Trans. Med. Imaging

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A method for reconstructing the constitutive parameters of two-dimensional (2-D) penetrable scatterers from scattered field measurements is presented. This method is based on the differential formulation of the forward scattering problem, which is solved by applying the finite-element method (FEM). Given a set of scattered field measurements, the objective is to minimize a cost function which consists of two terms. The first is the standard error term, which is related to the measurements and their estimates, while the second term, which is related to the Tikhonov regularization, is used to heal the ill posedness of the inverse problem. The iterative Polak-Ribière nonlinear conjugate gradient algorithm is applied to the minimization of the cost function. During each iteration of the algorithm, the direction of correction is computed by using a sensitivity analysis approach, which is carried out by an elaborate finite-element scheme. The adoption of the finite-element method results in sparse systems of equations, while the computational burden is further reduced by applying the adjoint state vector methodology. Finally, a microwave medical imaging application, which is related to the detection of proliferated bone marrow, is examined, while the robustness of the proposed technique in the presence of noise and for different regularization levels is investigated.

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A nonlinear estimation method in tomographic imaging

Cited by 132 publications

References 31 publications

New approaches to inverse scattering exploiting synthetic experiments

New approaches to inverse scattering exploiting synthetic experiments

Iterative image reconstruction of two-dimensional scatterers illuminated by TE waves

Microwave imaging using the finite-element method and a sensitivity analysis approach

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