DocumentCode :
1326941
Title :
A nonlinear estimation method in tomographic imaging
Author :
Isernia, Tommaso ; Pascazio, Vito ; Pierri, Rocco
Author_Institution :
Dipartimento di Ingegneria Elettronica, Univ. di Napoli Federico II, Italy
Volume :
35
Issue :
4
fYear :
1997
fDate :
7/1/1997 12:00:00 AM
Firstpage :
910
Lastpage :
923
Abstract :
A nonlinear estimation approach to solving the inverse scattering problem, and reconstructing the space-varying complex permittivity of unknown objects is considered. The bilinear operator equations governing the scattering are approximated into finite dimensional spaces on the basis of the finite degrees of freedom of data, and on the simple concept that one cannot expect to reconstruct an arbitrary function from a finite number of independent equations. As a consequence, a discrete model, well suited to numerical inversion, is developed. The particular bilinear nature of the equations, and a suitable choice of contrast and field unknowns allows the functional adopted in the estimation to be minimized in an accurate and numerically efficient manner. Numerical experiments show how the method is capable, when a proper number of searched unknowns is adopted, to manage the possible convergence to local minima (which is a typical question in nonlinear inverse problems), and validate the effectiveness of the proposed approach
Keywords :
geophysical prospecting; geophysical techniques; inverse problems; remote sensing by radar; terrestrial electricity; bilinear operator equations; discrete model; geoelectric method; geology; geophysical measurement technique; geophysical tomography; ground penetrating radar; inverse problem; inverse scattering problem; nonlinear estimation method; nonlinear inverse problem; numerical inversion; prospecting; radar remote sensing; space-varying complex permittivity; terrestrial electricity; tomographic imaging; Acoustic scattering; Approximation methods; Electromagnetic scattering; Image reconstruction; Inverse problems; Minimization methods; Nonlinear equations; Permittivity; Radar scattering; Tomography;
fLanguage :
English
Journal_Title :
Geoscience and Remote Sensing, IEEE Transactions on
Publisher :
ieee
ISSN :
0196-2892
Type :
jour
DOI :
10.1109/36.602533
Filename :
602533
Link To Document :
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