eprintid: 495
rev_number: 6
eprint_status: archive
userid: 5
dir: disk0/00/00/04/95
datestamp: 2011-07-11
lastmod: 2013-07-01 11:21:49
status_changed: 2013-07-01 11:21:49
type: techreport
metadata_visibility: show
item_issues_count: 0
creators_name: Franceschini, Davide
creators_name: Benedetti, Manuel
creators_name: Viani, Federico
creators_name: Massa, Andrea
title: Improving the Reconstruction Accuracy of Inversion Strategies Through Energetic Constraints
ispublished: pub
subjects: TU
full_text_status: public
abstract: Microwave imaging techniques are widely investigated in many applied sciences such as the subsurface prospecting [1] and the medical diagnosis [2]. Unfortunately, when inverse scattering approaches are considered, the drawbacks of non-linearity and ill-posedness [3] have unavoidably to be dealt with. Therefore, the problem at hand is usually recast as the minimization of a suitable cost function to be properly minimized in order to find the optimal solution. Such a cost function is usually defined by two discrepancy terms based on the knowledge of the scattered field measured in a suitable observation region and of the incident field in the investigation region. Moreover, further regularization terms have been studied and successfully applied in order to enhance the quality of the reconstructions (e.g., [4][5]). In such a framework, this contribution presents a new constraint based on the conservation of energy to improve the reconstruction accuracy of inverse scattering procedures.
date: 2011-01
date_type: published
institution: University of Trento
department: informaticat
refereed: FALSE
referencetext: [1] Y. Yu, T. Yu, and L. Carin, “Three-dimensional inverse scattering of a dielectric target embedded in a lossy half-space,” IEEE Trans. Geosci. Remote Sensing, vol. 42, pp. 957-973, May 2004 [2] E. C. Fear and M. A. Stuchly, “Microwave detection of breast cancer,” IEEE Trans. Microwave Theory Tech., vol. 48, pp. 1854-1863, Nov. 2000. [3] D. Colton and R. Krees, Inverse acoustics and electromagnetic scattering theory. Berlin, Germany: Springer-Verlag, 1992. [4] L. Crocco and T. Isernia, “Inverse scattering with real data: detecting and imaging homogeneous dielectric objects,” Inverse Problems, vol. 17, pp. 1573-1583, Dec. 2001. [5] A. Abubakar, P. M. van den Berg, and S. Y. Semenov, ”Two and three-dimensional algorithms for microwave imaging and inverse scattering,” J. Electromag. Waves Appl., vol. 17, pp. 209-231, Feb. 2003.
citation:   Franceschini, Davide and Benedetti, Manuel and Viani, Federico and Massa, Andrea  (2011) Improving the Reconstruction Accuracy of Inversion Strategies Through Energetic Constraints.  [Technical Report]     
document_url: http://www.eledia.org/students-reports/495/1/DISI-11-184.C183.pdf