eprintid: 339
rev_number: 6
eprint_status: archive
userid: 5
dir: disk0/00/00/03/39
datestamp: 2011-03-28
lastmod: 2013-07-03 08:14:28
status_changed: 2013-07-03 08:14:28
type: techreport
metadata_visibility: show
item_issues_count: 0
creators_name: Franceschini, Gabriele
creators_name: Donelli, Massimo
creators_name: Azaro, Renzo
creators_name: Massa, Andrea
title: Inversion of Phaseless Total Field Data using a Two-Step Strategy based on the Iterative Multi-Scaling Approach
ispublished: pub
subjects: TU
full_text_status: public
keywords: Inverse Scettering; Electromagnetic Imaging; Phaseless Data; Integrated Multi-Scaling Approach; Particle Swarm Optimizer
abstract: In this paper, a new approach for the quantitative electromagnetic imaging of unknown scatterers located in free space from amplitude-only measurements of the total field is proposed and discussed. The reconstruction procedure splits the problem into two steps. The method is based on the use of an inverse source algorithm to first complete the scattering data by estimating the distribution of the radiated field in the investigation domain. The object's function profile is then retrieved from the phaseless data via an iterative multiresolution procedure integrated with an effective minimization technique based on the particle swarm algorithm. Numerical examples are provided to assess the effectiveness of the whole two-step strategy in the presence of synthetic noise-corrupted data as well as in dealing with experimental data sets. Comparisons with full-data and "bare" approaches are reported as well. (c) 2006 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
date: 2006-12
date_type: published
institution: University of Trento
department: informaticat
refereed: TRUE
referencetext: [1] J. Ch. Bolomey. Frontiers in Industrial Process Tomographay . Engineering Founda-tion, 1995.
[2] J. Ch. Bolomey, "Microwave imaging techniques for NDT and NDE," Proc. TrainingWorkshop on Advanced Microwave NDT/NDE Techniques, Supelec/CNRS, Paris,Sep. 7-9, 1999.
[3] D. Goodman, "Ground penetrating radar simulation in engineering and archeology,"Geophysics, vol. 59, pp. 224-232, 1994.
[4] A. C. Dubey et al., Detection technology for mines and minelike taragets. Eds. Or-lando, FL, 1995.
[5] A. Franchois, A. Joisel, Ch. Pichot, and J. Ch. Bolomey, "Quantitative microwaveimaging with a 2.45 GHz planar microwave Camera," IEEE Trans. Medical Imaging ,vol. 17, pp. 550-561, Aug. 1998.
[6] X. Li, S. K. Davis, S. C. Hagness, D. W. van der Weide, and B. D. Van Veen, "Mi-crowave imaging via space-time beamforming: experimental investigation of tumordetection in multilayer breast phantoms," IEEE Trans. Microwave Theory Tech., vol.52, pp. 1856-1865, Aug. 2004.
[7] Q. Fang, P. M. Meaney, and K. D. Paulsen, "Microwave imaging reconstructionof tissue property dispersion Characteristics utilizing multiple-frequency informatio,"IEEE Trans. Microwave Theory Tech., vol. 52, pp. 1866-1875, Aug. 2004.
[8] S. Caorsi, A. Massa, M. Pastorino, and A. Rosani, "Microwave medical imaging:potentialities and limitations of a stochastic optimization technique," IEEE Trans.Microwave Theory Tech., vol. 52, pp. 1908-1916, Aug. 2004.
[9] O. M. Bucci, L. Crocco, T. Isernia, and V. Pascazio, "Suabsurface inverse scatteringproblems: Quantifying qualifying and achieving the available information," IEEETrans. Geosci. Remote Sensing , vol. 39, pp. 2527-2537, Nov. 2001.
[10] M. Bertero and P. Boccacci, Introduction to Inverse Problems in Imaging . IOP Pub-lishing Ltd, Bristol, 1998.
[11] M. Donelli and A. Massa, "Computational approach based on a particle swarm opti-mizer for microwave imaging of two-dimensional dielectric scatterers," IEEE Trans.Microwave Theory Tech., vol. 53, pp. 1761-1776, May 2005.
[12] S. Caorsi, G. L. Gragnani, and M. Pastorino, "An electromagnetic imaging approachusing a multi-illumination technique," IEEE Trans. Biomedical Eng., vol. 41, no. 4,pp. 406-409, 1994.
[13] S. Caorsi, G. L. Gragnani, and M. Pastorino, "A multiview microwave imaging systemfor two- dimensional penetrable objects," IEEE Trans. Microwave Theory Techn.,vol. 39, pp. 845-851, May 1991.
[14] W. C. Chew and J. H. Lin, "A Frequency-Hopping Approach for Microwave Imagingof Large Inhomogeneous Bodies," IEEE Microwave Guided Wave Lett ., vol. 5, pp.439-441, Dec. 1995.
[15] O. M. Bucci and T. Isernia, "Electromagnetic inverse scattering: Retrievable infor-mation and measurement strategies," Radio Sci., vol. 32, pp. 2123-2138, Nov.-Dec.1997.
[16] S. Caorsi, G. L. Gragnani, and M. Pastorino, "A model-driven approach to microwavediagnostics in biomedical applications," IEEE Trans. Microwave Theory Tech., vol.44, no. 10, pp. 1910-1920, Oct. 1996.
[17] D. T. Davis, J. N. Hwang, and L. Tsang, "Solving inverse problems using Bayesianmodeling to incorporate information sources," Geoscience and Remote Sensing Sym-posium, 1994.
[18] T. Isernia, V. Pascazio, and R. Pierri, "On the local minima in a tomographic imagingtechnique," IEEE Trans. Geosci. Remote Sensing , vol. 39, pp. 1596-1607, Jul. 2001.
[19] E. L. Miller and A. Willsky, "A multiscale, statistically based inversion scheme forlinearized inverse scattering problems," IEEE Trans. Geosci. Remote Sensing , vol.34, pp. 346-357, Mar. 1996.
[20] E. L. Miller, "Statistically based methods for anomaly Characterization in imagesfrom observations of scattered fields," IEEE Trans. Image Processing , vol. 8, pp.92-101, Jan. 1999.
[21] S. Caorsi, M. Donelli, D. Franceschini, and A. Massa, "A new methodology basedon an iterative multiscaling for microwave imaging," IEEE Trans. Microwave TheoryTech., vol. 51, app. 1162-1173, Apr. 2003.
[22] S Caorsi, M. Donelli, and A. Massa, "Detection, location, and imaging of multiplescatterers by means of the iterative multiscaling method," IEEE Trans. MicrowaveTheory Tech., vol. 52, pp. 1217-1228, Apr. 2004.
[23] A. Baussard, E. L. Miller, and D. Lesselier, "Adaptive multiscale approach for 2D mi-crowave tomography," URSI - International Symposium on Electromagnetic Theory ,Pisa, Italia, pp. 1092-1094, May 2004.
[24] E. L. Miller, I. Yavuz, L. Nicolaides, and A. Mandelis, "An adaptive multiscale inversescattering approach to photothermal depth prolometry," Circuits, Systems, andSignal Processing, vol. 19, pp. 339-363, Aug. 2000.
[25] A. Baussard, E. L. Miller, and D. Lesselier, "Adaptive multiscale reconstruction ofburied objects," Inverse Problems, Special section on "Electromagnetic Characteri-zation of buried obstacles", W. C. Chew and D. Lesselier eds., vol. 20, pp. S1-S15,2004.
[26] E. Wolf, "Determination of the amplitude and the phase of scattered elds by holog-raphy," J. Opt. Soc. Am. A, vol. 60, pp. 18-20, 1970.
[27] G. W. Faris and H. M. Hertz, "Tunable dierential interferometer for optical tomog-raphy," Appl. Opt ., vol. 28, pp. 4662-4667, 1989.
[28] M. H. Maleki, A. J. Devaney, and A. Schatzberg, "Tomographic reconstruction fromoptical scattered intensities," J. Opt. Soc. Am. A, vol. 9, pp. 1356-1363, 1992.
[29] T. Takenaka, D. J. N. Wall, H. Harada, and M. Tanaka, "Reconstruction algorithmof the refractive index of a Cylindrical object from the intensity measurements of thetotal field," Microwave Optical Technol. Lett ., vol. 14, pp. 182-188, Feb. 1997.
[30] M. Lambert and D. Lesselier, "Binary-constrained inversion of a buried Cylindricalobstacle from Complete and phaseless magnetic  fields," Inverse Problems, vol. 16, pp.563-576, 2000.
[31] S. Caorsi, A. Massa, M. Pastorino, and A. Randazzo, "Electromagnetic detection ofdielectric scatterers using phaseless synthetic and real data and the memetic algo-rithm," IEEE Trans. Geosci. Remote Sensing , vol. 41, pp. 2745-2753, Dec. 2003.
[32] M. H. Maleki, A. J. Devaney, and A. Schatzberg, "Phase retrieval and intensity-onlyreconstruction algorithms from optical diffraction tomography," J. Opt. Soc. Am. A,vol. 10, pp. 1086-1092, 1993.
[33] L. Crocco, M. D'Urso, and T. Isernia, "Inverse scattering from phaseless measure-ments of the total eld on a Closed Curve," J. Opt. Soc. Am. A, vol. 21, Apr. 2004.
[34] J. H. Richmond, "Scattering by a dielectric Cylinder of arbitrary Cross section shape,"IEEE Trans. Antennas Propagat., vol. 13, pp. 334-341, May 1965.
[35] K. Belkebir and M. Saillard, Special issue on "Testing inversion algorithms againstexperimental data," Inverse Problems, vol. 17, pp. 1565-1702, 2001.
[36] K. Belkebir and M. Saillard, Special issue on "Testing inversion algorithms againstexperimental data: inhomogeneous targets," Inverse Problems, vol. 21, pp. 1-3, 2005.
[37] D. Franceschini, M. Donelli, and A Massa, "Testing the iterative multiscaling methodagainst experimental data - On the effects of the electromagnetic source modeling inthe reconstruction process," submitted to Radio Sci., 2005.
[38] F. Natterer, "Numerical treatment of ill-posed problems," in Inverse Problems, Ed.G. Talenti, Lecture Notes in Mathematics, p. 1225, 1986.
[39] J. Kennedy, R. C. Eberhart, and Y. Shi, Swarm Intelligence. San Francisco: MorganKaufmann Publishiers, 2001.
[40] J. R. Robinson and Y. Rahmat-Sami, "Particle swarm optimization in electromag-netics," IEEE Trans. Antennas Propagat., vol. 52, pp. 771-778, Mar. 2004.
[41] J.-M. Geffrin, P. Sabouroux, and C. Eyraud, "Free-space experimental scatteringdatabase Continuation: experimental set-up and measurement precision," InverseProblems, vol. 21, pp. 117-130, 2005.
citation:   Franceschini, Gabriele and Donelli, Massimo and Azaro, Renzo and Massa, Andrea  (2006) Inversion of Phaseless Total Field Data using a Two-Step Strategy based on the Iterative Multi-Scaling Approach.  [Technical Report]     
document_url: http://www.eledia.org/students-reports/339/1/DISI-11-075.R110.pdf