Imaging PEC through innovative compressive sensing approaches

In this paper, an innovative multi-task Bayesian Compressive Sensing (MT-BCS)-based approach is proposed to image sparse metallic objects. Towards this end, the problem of estimating the position of the contrast currents is formulated in a Bayesian framework, and a thresholding procedure is applied to derive the binary function describing the scatterer profile. A preliminary set of numerical examples is presented to assess the effectiveness of the considered methodology.

[1]  A. Massa,et al.  Microwave Imaging Within the First-Order Born Approximation by Means of the Contrast-Field Bayesian Compressive Sensing , 2012, IEEE Transactions on Antennas and Propagation.

[2]  P. M. Berg,et al.  Contrast Source Inversion Method: State of Art , 2001 .

[3]  Paolo Rocca,et al.  Bayesian Compressive Sensing Approaches for the Reconstruction of Two-Dimensional Sparse Scatterers Under TE Illuminations , 2013, IEEE Transactions on Geoscience and Remote Sensing.

[4]  Takashi Takenaka,et al.  Image Reconstruction of Two-Dimensional Impenetrable Objects Using Genetic Algorithm , 1999 .

[5]  Matteo Pastorino,et al.  Two-dimensional microwave imaging approach based on a genetic algorithm , 2000 .

[6]  A Massa,et al.  Bayesian compressive optical imaging within the Rytov approximation. , 2012, Optics letters.

[7]  M. Pastorino.  Stochastic Optimization Methods Applied to Microwave Imaging: A Review , 2007, IEEE Transactions on Antennas and Propagation.

[8]  Paolo Rocca,et al.  Three-Dimensional Microwave Imaging Problems Solved Through an Efficient Multiscaling Particle Swarm Optimization , 2009, IEEE Transactions on Geoscience and Remote Sensing.

[9]  Takashi Takenaka,et al.  Conjugate gradient method applied to inverse scattering problem , 1995 .

[10]  P. Rocca,et al.  Differential Evolution as Applied to Electromagnetics , 2011, IEEE Antennas and Propagation Magazine.

[11]  M. El-Shenawee,et al.  Shape Reconstruction Using the Level Set Method for Microwave Applications , 2008, IEEE Antennas and Wireless Propagation Letters.

[12]  Chien-Ching Chiu,et al.  Microwave imaging of multiple conducting cylinders , 1992 .

[13]  G. Franceschetti,et al.  On the degrees of freedom of scattered fields , 1989 .

[14]  David B. Dunson,et al.  Multitask Compressive Sensing , 2009, IEEE Transactions on Signal Processing.

[15]  W.C. Chew,et al.  Microwave imaging of multiple conducting cylinders using local shape functions , 1992, IEEE Microwave and Guided Wave Letters.

[16]  Paolo Rocca,et al.  A Bayesian-Compressive-Sampling-Based Inversion for Imaging Sparse Scatterers , 2011, IEEE Transactions on Geoscience and Remote Sensing.