A Multi-Scaling Forward-Backward Time-Stepping Method for microwave imaging

This paper is aimed at presenting a new time-domain imaging technique that combines the regularization properties of the Filtered FBTS method with an efficient information-acquisition strategy, namely the Iterative Multi-Scaling Approach (IMSA). The proposed time-domain approach is then validated by means of a set of preliminary numerical test cases aimed at pointing out its features and potentialities, as well.

[1]  A. Massa,et al.  A Nested Multi-Scaling Inexact-Newton Iterative Approach for Microwave Imaging , 2012, IEEE Transactions on Antennas and Propagation.

[2]  P. Rocca,et al.  Evolutionary optimization as applied to inverse scattering problems , 2009 .

[3]  Matteo Pastorino,et al.  A computational technique based on a real-coded genetic algorithm for microwave imaging purposes , 2000, IEEE Trans. Geosci. Remote. Sens..

[4]  Takashi Takenaka,et al.  Two-Dimensional Time-Domain Inverse Scattering for Quantitative Analysis of Breast Composition , 2008, IEEE Transactions on Biomedical Engineering.

[5]  J. Coyle.  Inverse Problems , 2004 .

[6]  J. Lovetri,et al.  A Novel Microwave Tomography System Using a Rotatable Conductive Enclosure , 2011, IEEE Transactions on Antennas and Propagation.

[7]  J. Lovetri,et al.  Overview and Classification of Some Regularization Techniques for the Gauss-Newton Inversion Method Applied to Inverse Scattering Problems , 2009, IEEE Transactions on Antennas and Propagation.

[8]  Manuel Benedetti,et al.  Multiple-Shape Reconstruction by Means of Multiregion Level Sets , 2010, IEEE Transactions on Geoscience and Remote Sensing.

[9]  K. Paulsen,et al.  Nonlinear Microwave Imaging for Breast-Cancer Screening Using Gauss–Newton's Method and the CGLS Inversion Algorithm , 2007, IEEE Transactions on Antennas and Propagation.

[10]  Eric L. Miller,et al.  Adaptive multiscale reconstruction of buried objects , 2004 .

[11]  P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .

[12]  A. Litman,et al.  3D-Aggregate Quantitative Imaging: Experimental Results and Polarization Effects , 2011, IEEE Transactions on Antennas and Propagation.

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

[14]  Matteo Pastorino,et al.  Electromagnetic subsurface prospecting by a multifocusing inexact Newton method within the second-order Born approximation. , 2014, Journal of the Optical Society of America. A, Optics, image science, and vision.

[15]  Andrea Massa,et al.  The linear sampling method and energy conservation , 2010 .

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

[17]  Tommaso Isernia,et al.  On the Solution of 2-D Inverse Scattering Problems via Source-Type Integral Equations , 2010, IEEE Transactions on Geoscience and Remote Sensing.

[18]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[19]  Andrea Massa,et al.  Multiresolution subspace-based optimization method for inverse scattering problems. , 2011, Journal of the Optical Society of America. A, Optics, image science, and vision.

[20]  J. LoVetri,et al.  Microwave Biomedical Imaging Using the Multiplicative Regularized Gauss--Newton Inversion , 2009, IEEE Antennas and Wireless Propagation Letters.

[21]  Takashi Takenaka,et al.  A Breast Imaging Model Using Microwaves and a Time Domain Three Dimensional Reconstruction Method , 2009 .

[23]  Andrea Massa,et al.  Full-vectorial three-dimensional microwave imaging through the iterative multiscaling strategy-a preliminary assessment , 2005, IEEE Geoscience and Remote Sensing Letters.

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

[25]  Federico Viani,et al.  Sparse scatterers imaging through approximated multitask compressive sensing strategies , 2013 .

[26]  Dominique Lesselier,et al.  Hybrid Differential Evolution and Retrieval of Buried Spheres in Subsoil , 2008, IEEE Geoscience and Remote Sensing Letters.

[27]  Vito Pascazio,et al.  On the local minima in a tomographic imaging technique , 2001, IEEE Trans. Geosci. Remote. Sens..

[28]  Federico Viani,et al.  MT – BCS-Based Microwave Imaging Approach Through Minimum-Norm Current Expansion , 2013, IEEE Transactions on Antennas and Propagation.

[29]  Matteo Pastorino,et al.  Noninvasive imaging for the new century , 1999 .

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

[31]  Reza Zoughi,et al.  Broad-Band Microwave Dielectric Property Characterization and Nondestructive Inspection of Various Glass Specimens , 2000 .

[32]  Q. Fang,et al.  Viable Three-Dimensional Medical Microwave Tomography: Theory and Numerical Experiments , 2010, IEEE Transactions on Antennas and Propagation.

[33]  Eric L. Miller,et al.  Spherical harmonics microwave algorithm for shape and location reconstruction of breast cancer tumor , 2006, IEEE Transactions on Medical Imaging.

[34]  Andrea Massa,et al.  Imaging sparse metallic cylinders through a local shape function Bayesian compressive sensing approach. , 2013, Journal of the Optical Society of America. A, Optics, image science, and vision.

[35]  Andrea Massa,et al.  Guest Editorial: Special Cluster on Microwave Medical Imaging , 2012 .

[36]  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.

[37]  Matteo Pastorino,et al.  Electromagnetic imaging within the contrast-source formulation by means of the multiscaling inexact Newton method. , 2012, Journal of the Optical Society of America. A, Optics, image science, and vision.

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

[39]  Puyan Mojabi,et al.  A Wideband Microwave Tomography System With a Novel Frequency Selection Procedure , 2010, IEEE Transactions on Biomedical Engineering.

[40]  Paul M. Meaney,et al.  A clinical prototype for active microwave imaging of the breast , 2000 .

[41]  A. Massa,et al.  A new methodology based on an iterative multiscaling for microwave imaging , 2003 .

[42]  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.

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

[44]  T. Takenaka,et al.  FILTERED FORWARD-BACKWARD TIME-STEPPING METHOD APPLIED TO RECONSTRUCTION OF DIELECTRIC CYLINDERS , 2003 .