eprintid: 373 rev_number: 6 eprint_status: archive userid: 5 dir: disk0/00/00/03/73 datestamp: 2011-07-27 lastmod: 2013-07-03 08:44:33 status_changed: 2013-07-03 08:44:33 type: techreport metadata_visibility: show item_issues_count: 0 creators_name: Franceschini, Davide creators_name: Donelli, Massimo creators_name: Tamanini, E creators_name: Massa, Andrea title: An Iterative Procedure for Combining the Advantages of a Multi-Frequency and Multi-Resolution Inversion Algorithm ispublished: pub subjects: TU full_text_status: public abstract: Starting from the iterative multi scaling approach previously studied for monochromatic illuminations, two multi resolution strategies for dealing with multi frequency inverse scattering experiments have been developed. The first procedure is based on the integration of the iterative multi scaling algorithm into a frequency hopping reconstruction scheme, while in the second one the multi frequency data are simultaneously processed exploiting a multi resolution expansion of the problem unknowns. The numerical and the experimental analysis presented in this contribution concern with a preliminary assessment of the reconstruction effectiveness of the proposed approaches in comparison with a monochromatic multi-step process. This is the author's version of the final version available at IEEE. date: 2011-01 date_type: published institution: University of Trento department: informaticat refereed: FALSE referencetext: 1. S. R. H. Hoole, S. Subramaniam, R. Saldanha, J.L. Coulomb, J.C. Sabonnadiere, “Inverse problem methodology and finite elements in the identifications of cracks, sources, materials, and their geometry in inaccessible locations,” IEEE Trans. Magn., vol. 27, pp. 3433–3443, May 1991. 2. J. C. Bolomey, A. Izadnegahdar, L. Jofre, Ch. Pichot, G. Peronnet, M. Solaimani, “Microwave diffraction tomography for biomedical applications,” IEEE Trans. Microwave Theory Tech., vol. 82, pp. 1998–2000, Nov. 1982. 3. P. M. Meaney, M. W. Fanning, D. Li, S. P. Poplack, and K. D. Paulsen, "A clinical prototype for active microwave imaging of the breast," IEEE Trans. Microwave Theory Tech., vol. 48, pp. 1841-1851, Nov. 2000. 4. D. J. Daniels, Subsurface Penetrating Radar. London, U. K.: IEE Press, 1996. 5. O. M. Bucci and G. Franceschetti, "On the degrees of freedom of scattered fields," IEEE Trans. Antennas Propagat., vol. 37, pp. 918-926, Jul. 1989. S. Caorsi, G. L. Gragnani, and M. Pastorino, "An approach to microwave imaging using a multiview moment 6. method solution for a two-dimensional infinite cylinder," IEEE Trans. Microwave Theory Tech., vol. 39, pp. 1062-1067, Jun. 1991. 7. O. S. Haddadin and E. S. Ebbini, "Imaging strongly scattering media using a multiple frequency distorted Born iterative method," IEEE Trans. Ultrason. Ferroelect. Freq. Contr., vol. 45, pp. 1485-1496, Nov. 1998. 8. K. Belkebir, R. Kleinmann, and C. Pichot, "Microwave imaging Location and shape reconstruction from multifrequency data," IEEE Trans. Microwave Theory Tech., vol. 45, pp. 469-475, Apr. 1997. 9. O. M. Bucci, L. Crocco, T. Isernia, and V. Pascazio, "Inverse scattering problems with multifrequency data: reconstruction capabilities and solution strategies," IEEE Trans. Geosci. Remote Sensing, vol. 38, pp. 1749-1756, Jul. 2000. 10. A. G. Tijhuis, K. Belkebir, A. C. S. Litman, ans B. P. de Hon, "Theoretical and computational aspects of 2D inverse profiling," IEEE Trans. Geosci. Remote Sensing, vol. 39, pp. 1316-1330, Jul. 2001. 11. A. Baussard, "Inversion of multi frequency experimental data using an adaptive multiscale approach", Inverse Problems, vol. 21, pp. S15-S31, Dec. 2005. 12. S. Caorsi, M. Donelli, D. Franceschini, and A. Massa, "A new methodology based on an iterative multiscaling for microwave imaging," IEEE Trans. Microwave Theory Tech., vol. 51, pp. 1162-1173, Apr. 2003. 13. S. Caorsi, M. Donelli, and A. Massa, "Detection, location, and imaging of multiple scatterers by means of the iterative multiscaling method," IEEE Trans. Microwave Theory Tech., vol. 52, pp. 1217-1228, Apr. 2004. 14. E. L. Miller and A. S. Willsky, "A multiscale, statistically based inversion scheme for linearized inverse scattering problems," IEEE Trans. Geosci. Remote Sensing, vol. 34, pp. 346-357, Mar. 1996. 15. O. M. Bucci, L. Crocco, and T. Isernia, "An adaptive wavelet based approach for non destructive evaluation applications," in Proc. IEEE Antennas Propagation Symp., vol. 3, pp. 1756-1759, 2000. citation: Franceschini, Davide and Donelli, Massimo and Tamanini, E and Massa, Andrea (2011) An Iterative Procedure for Combining the Advantages of a Multi-Frequency and Multi-Resolution Inversion Algorithm. [Technical Report] document_url: http://www.eledia.org/students-reports/373/1/DISI-11-242.C123.pdf