Multiple-shape reconstruction by means of multiregion level sets

IEEE Transactions on Geoscience and Remote Sensing

Volumn 48, Issue 5, 2010, Pages 2330-2342

  Benedetti, Manuel ^a   Lesselier, Dominique ^b   Lambert, Marc ^b   Massa, Andrea ^a  

^a UNIVERSITY OF TRENTO   (Italy)

^b CNRS   (France)

Author keywords

Homogeneous scatterers; Inverse scattering; Level set; Microwave imaging; Multiple objects; Multiscale reconstruction

Indexed keywords

COMPLEX SHAPES; EXPERIMENTAL DATA; INVERSE SCATTERING; LEVEL SET; LEVEL SETS; MICROWAVE IMAGING; MULTIPLE OBJECTS; MULTISCALE RECONSTRUCTION; MULTISCALING; SHAPE RECONSTRUCTION;

IMAGING SYSTEMS; LEVEL MEASUREMENT; MICROWAVES; REPAIR;

SCATTERING;

EFFICIENCY MEASUREMENT; EXPERIMENTAL STUDY; MICROWAVE IMAGERY; OPTIMIZATION; RECONSTRUCTION; SCATTERING;

EID: 77951299313     PISSN: 01962892     EISSN: None     Source Type: Journal    
DOI: 10.1109/TGRS.2009.2039144     Document Type: Article

References (61)

1. P. J. Shull, Nondestructive Evaluation: Theory, Techniques and Applications. Boca Raton, FL: CRC Press, 2002.
2. H. Schubert and A. Kuznetsov, Detection of Explosives and Landmines: Methods and Field Experience. Boston, MA: Kluwer, 2001.
3. A. G. Webb, Introduction to Biomedical Imaging. Hoboken, NJ: Wiley-IEEE Press, 2002, ser. IEEE Press Series on Biomedical Engineering.
4. D. D. Ferris and N. C. Currie, "A survey of current technologies for through-the-wall-surveillance (TWS)," Proc. SPIE, vol.3577, pp. 62-68, 1998.
5. J. C. Bolomey, "Microwave imaging techniques for NDT and NDE," in Proc. Training Workshop Adv. Microw. NDT/NDE Techn., Sep. 7-9, 1999, pp. 27-33.
6. S. Kharkovsky and R. Zoughi, "Microwave and millimeter wave nondestructive testing and evaluation-Overview and recent advances," IEEE Instrum. Meas. Mag., vol.10, no.2, pp. 26-38, Apr. 2007.
7. A. Abubakar, P. M. van den Berg, and J. J. Mallorqui, "Imaging of biomedical data using a multiplicative regularized contrast source inversion method," IEEE Trans. Microw. Theory Tech., vol.50, no.7, pp. 1761-1771, Jul. 2002. (Pubitemid 34822220)
8. S. Caorsi, A. Massa, and M. Pastorino, "A computational technique based on a real-coded genetic algorithm for microwave imaging purposes," IEEE Trans. Geosci. Remote Sens., vol.38, no.4, pp. 1697-1708, Jul. 2000.
9. A. Massa, D. Franceschini, G. Franceschini, M. Pastorino, M. Raffetto, and M. Donelli, "Parallel GA-based approach for microwave imaging applications," IEEE Trans. Antennas Propag., vol.53, no.10, pp. 3118-3127, Oct. 2005. (Pubitemid 41555309)
10. S. Caorsi, A. Massa, M. Pastorino, and A. Randazzo, "Electromagnetic detection of dielectric scatterers using phaseless synthetic and real data and the memetic algorithm," IEEE Trans. Geosci. Remote Sens., vol.41, no.12, pp. 2745-2753, Dec. 2003.
11. M. Donelli and A. Massa, "Computational approach based on a particle swarm optimizer for microwave imaging of two-dimensional dielectric scatterers," IEEE Trans. Microw. Theory Tech., vol.53, no.5, pp. 1761-1776, May 2005. (Pubitemid 40729744)
12. M. Donelli, G. Franceschini, A. Martini, and A. Massa, "An integrated multiscaling strategy based on a particle swarm algorithm for inverse scattering problems," IEEE Trans. Geosci. Remote Sens., vol.44, no.2, pp. 298-312, Feb. 2006. (Pubitemid 43146050)
13. A. Qing, "Dynamic differential evolution strategy and applications in electromagnetic inverse scattering problems," IEEE Trans. Geosci. Remote Sens., vol.44, no.1, pp. 116-125, Jan. 2006.
14. Q. Dong and C. M. Rappaport, "Microwave subsurface imaging using direct finite-difference frequency-domain-based inversion," IEEE Trans. Geosci. Remote Sens., vol.47, no.11, pp. 3664-3670, Nov. 2009.
15. L. Li, H. Zheng, and F. Li, "Two-dimensional contrast source inversion method with phaseless data: TM case," IEEE Trans. Geosci. Remote Sens., vol.47, no.6, pp. 1719-1736, Jun. 2009.
16. J. De Zaeytijd, A. Franchois, C. Eyraud, and J. M. Geffrin, "Full-wave three-dimensional microwave imaging with a regularized Gauss-Newton method: Theory and experiments," IEEE Trans. Antennas Propag., vol.55, no.11, pp. 3279-3292, Nov. 2007. (Pubitemid 350218413)
17. M. Brignone, G. Bozza, A. Randazzo, M. Piana, and M. Pastorino, "A hybrid approach to 3D microwave imaging by using linear sampling and ACO," IEEE Trans. Antennas Propag., vol.56, no.10, pp. 3224-3232, Oct. 2008.
18. M. Donelli, D. Franceschini, P. Rocca, and A.Massa, "Three- dimensional microwave imaging problems solved through an efficient multiscaling particle swarm optimization," IEEE Trans. Geosci. Remote Sens., vol.47, no.5, pp. 1467-1481, May 2009.
19. H. Zhou, T. Takenaka, J. Johnson, and T. Tanaka, "Breast imaging model using microwaves and a time domain three dimensional reconstruction method," Prog. Electromagn. Res., vol.93, pp. 57-70, 2009.
20. R. Solimene, F. Soldovieri, G. Prisco, and R. Pierri, "Threedimensional through-wall imaging under ambiguous wall parameters," IEEE Trans. Geosci. Remote Sens., vol.47, no.5, pp. 1310-1317, May 2009.
21. T. Rubk, P. M. Meaney, P. Meincke, and K. D. Paulsen, "Nonlinear microwave imaging for breast-cancer screening using Gauss-Newton's method and the CGLS inversion algorithm," IEEE Trans. Antennas Propag., vol.55, no.8, pp. 2320-2331, Aug. 2007. (Pubitemid 47308089)
22. F. Soldovieri, R. Solimene, and G. Prisco, "A multiarray tomographic approach for through-wall imaging," IEEE Trans. Geosci. Remote Sens., vol.46, no.4, pp. 1192-1199, Apr. 2008. (Pubitemid 351459467)
23. O. M. Bucci and T. Isernia, "Electromagnetic inverse scattering: Retrievable information and measurement strategies," Radio Sci., vol.32, no.6, pp. 2123-2138, Nov./Dec. 1997. (Pubitemid 127630831)
24. M. Bertero and P. Boccacci, Introduction to Inverse Problems in Imaging. Bristol, U.K.: IOP Publishing Ltd., 1998.
25. O. M. Bucci and G. Franceschetti, "On the spatial bandwidth of scattered fields," IEEE Trans. Antennas Propag., vol.AP-35, no.12, pp. 1445-1455, Dec. 1987.
26. T. Isernia, V. Pascazio, and R. Pierri, "On the local minima in a tomographic imaging technique," IEEE Trans. Geosci. Remote Sens., vol.39, no.7, pp. 1596-1607, Jul. 2001. (Pubitemid 32732673)
27. O. M. Bucci, L. Crocco, T. Isernia, and V. Pascazio, "Subsurface inverse scattering problems: Quantifying, qualifying, and achieving the available information," IEEE Trans. Geosci. Remote Sens., vol.39, no.11, pp. 2527-2538, Nov. 2001. (Pubitemid 33137990)
28. E. L. Miller and A. S.Willsky, "A multiscale, statistically-based inversion scheme for linearized inverse scattering problems," IEEE Trans. Antennas Propag., vol.34, no.2, pp. 346-357, Mar. 1996.
29. A. Baussard, E. L. Miller, and D. Lesselier, "Adaptive multiscale reconstruction of buried objects," Inv. Probl., vol.20, no.6, pp. S1-S15, Dec. 2004. (Pubitemid 40002884)
30. S. Caorsi, M. Donelli, and A. Massa, "Detection, location, and imaging of multiple scatterers by means of the iterative multiscaling method," IEEE Trans. Microw. Theory Tech., vol.52, no.4, pp. 1217-1228, Apr. 2004.
31. G. Franceschini, M. Donelli, R. Azaro, and A. Massa, "Inversion of phaseless total field data using a two-step strategy based on the iterative multiscaling approach," IEEE Trans. Geosci. Remote Sens., vol.44, no.12, pp. 3527-3539, Dec. 2006. (Pubitemid 44955552)
32. A. Litman, "Reconstruction by level sets of n-ary scattering obstacles," Inv. Probl., vol.21, no.6, pp. S131-S152, Dec. 2005. (Pubitemid 41744524)
33. W. C. Chew, Waves and Fields in Inhomogeneous Media. Piscataway, NJ: IEEE Press, 1995.
34. A. Bréard, G. Perrusson, and D. Lesselier, "Hybrid differential evolution and retrieval of buried spheres in subsoil," IEEE Geosci. Remote Sens. Lett., vol.5, no.4, pp. 788-792, Oct. 2008.
35. S. Caorsi, A. Massa, M. Pastorino, and M. Donelli, "Improved microwave imaging procedure for nondestructive evaluations of two-dimensional structures," IEEE Trans. Antennas Propag., vol.52, no.6, pp. 1386-1397, Jun. 2004.
36. M. Benedetti, M. Donelli, and A. Massa, "Multicrack detection in twodimensional structures by means of GA-based strategies," IEEE Trans. Antennas Propag., vol.55, no.1, pp. 205-215, Jan. 2007. (Pubitemid 46231739)
37. V. Cingoski, N. Kowata, K. Kaneda, and H. Yamashita, "Inverse shape optimization using dynamically adjustable genetic algorithms," IEEE Trans. Energy Convers., vol.14, no.3, pp. 661-666, Sep. 1999. (Pubitemid 30528643)
38. I. T. Rekanos, "Shape reconstruction of a perfectly conducting scatterer using differential evolution and particle swarm optimization," IEEE Trans. Geosci. Remote Sens., vol.46, no.7, pp. 1967-1974, Jul. 2008.
39. J. Cea, S. Garreau, P. Guillame, and M. Masmoudi, "The shape and topological optimizations connection," Comput. Methods Appl. Mech. Eng., vol.188, no.4, pp. 713-726, Aug. 2000.
40. M. Masmoudi, J. Pommier, and B. Samet, "The topological asymptotic expansion for the Maxwell equations and some applications," Inv. Probl., vol.21, no.2, pp. 547-564, Apr. 2005. (Pubitemid 40540980)
41. S. Osher and J. A. Sethian, "Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations," J. Comput. Phys., vol.79, no.1, pp. 12-49, Nov. 1988.
42. J. A. Sethian, Level Set and Fast Marching Methods, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1999.
43. F. Santosa, "A level-set approach for inverse problems involving obstacles," ESAIM: COCV, vol.1, pp. 17-33, Jan. 1996.
44. O. Dorn and D. Lesselier, "Level set methods for inverse scattering," Inv. Probl., vol.22, no.4, pp. R67-R131, Aug. 2006. (Pubitemid 44102193)
45. A. Litman, D. Lesselier, and F. Santosa, "Reconstruction of a twodimensional binary obstacle by controlled evolution of a level-set," Inv. Probl., vol.14, no.3, pp. 685-706, Jun. 1998. (Pubitemid 128553304)
46. R. Ferraye, J. Y. Dauvignac, and C. Pichot, "Reconstruction of complex and multiple shape object contours using a level set method," J. Electromagn. Waves Appl., vol.17, no.2, pp. 153-181, 2003.
47. R. Ferraye, J. Y. Dauvignac, and C. Pichot, "An inverse scattering method based on contour deformations by means of a level set method using frequency hopping technique," IEEE Trans. Antennas Propag., vol.51, no.5, pp. 1100-1113, May 2003.
48. M. R. Hajihashemi and M. El-Shenawee, "Shape reconstruction using the level set method for microwave applications," IEEE Antennas Wireless Propag. Lett., vol.7, pp. 92-96, 2008.
49. L. Souriau, B. Duchene, D. Lesselier, and R. E. Kleinman, "Modified gradient approach to inverse scattering for binary objects in stratified media," Inv. Probl., vol.12, no.4, pp. 463-481, Aug. 1996. (Pubitemid 126655733)
50. I. T. Rekanos and T. D. Tsiboukis, "An inverse scattering technique for microwave imaging of binary objects," IEEE Trans. Microw. Theory Tech., vol.50, no.5, pp. 1439-1441, May 2002. (Pubitemid 34684614)
51. F. Cakoni and D. Colton, Qualitative Methods in Inverse Scattering Theory. Berlin, Germany: Springer-Verlag, 2006.
52. R. Aramini, M. Brignone, and M. Piana, "The linear sampling method without sampling," Inv. Probl., vol.22, no.6, pp. 2237-2254, Dec. 2006. (Pubitemid 46069511)
53. A. Kirsch and N. Grinberg, The Factorization Method for Inverse Problems. New York: Oxford Univ. Press, 2008.
54. M. Benedetti, D. Lesselier, M. Lambert, and A. Massa, "A multiresolution technique based on shape optimization for the reconstruction of homogeneous dielectric objects," Inv. Probl., vol.25, no.1, pp. 1-26, Jan. 2009.
55. D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, 2nd ed. Berlin, Germany: Springer-Verlag, 1998.
56. D. P. Huttenlocher, G. A. Klanderman, and W. J. Rucklidge, "Comparing images using the Hausdorff distance," IEEE Trans. Pattern Anal. Mach. Intell., vol.15, no.9, pp. 850-863, Sep. 1993.
57. D.-G. Sim, O.-K. Kwon, and R.-H. Park, "Object matching algorithms using robust Hausdorff distance measures," IEEE Trans. Image Process., vol.8, no.3, pp. 425-429, Mar. 1999.
58. J. P. Bustos, F. Donoso, A. Guesalaga, and M. Torres, "Matching radar and satellite images for ship trajectory estimation using the Hausdorff distance," IET Radar Sonar Navig., vol.1, no.1, pp. 50-58, Feb. 2007.
59. P. Gastaldo and R. Zunino, "Hausdorff distance for robust and adaptive template selection in visual target detection," Electron. Lett., vol.38, no.25, pp. 1651-1653, Dec. 2002.
60. G. Thürmer, "Closed curves in n-dimensional discrete space," Graph. Models, vol.65, no.1-3, pp. 43-60, Jan. 2003. (Pubitemid 36863820)
61. K. Belkebir and M. Saillard, "Testing inversion algorithms against experimental data," Inv. Probl., vol.17, no.6, pp. 1565-1571, Dec. 2001.