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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2012-02-17
Microwave Imaging of Dielectric Cylinders Using Level Set Method and Conjugate Gradient Algorithm
By
Khaled Grayaa

    Dr. Khaled Grayaa

    Engineer School of Tunis

    Tunisia

    Homepage

Progress In Electromagnetics Research M, Vol. 23, 195-205, 2012
doi:10.2528/PIERM11120201 | Google Scholar

Abstract
In this paper, a level set method for shape reconstruction problems is considered. By measuring the scattered field, we tried to retrieve the localisation and permittivity of buried objects. The forward problem is solved by the method of moments. For solving the inverse problem, we adopt an evolution approach. Therefore, we introduce a level set technique witch is flexible in handling complex shape changes. A conjugate gradient-based method is used in order to define iterative updates for the level set functions with the goal to minimize a given least squares data misfit functional. In particular, the proposed method is capable of creating new holes inside the design domain, which makes the final design independent of Experimental results demonstrate the feasibility and effectiveness of the proposed technique.
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Citation
Khaled Grayaa, "Microwave Imaging of Dielectric Cylinders Using Level Set Method and Conjugate Gradient Algorithm," Progress In Electromagnetics Research M, Vol. 23, 195-205, 2012.
doi:10.2528/PIERM11120201
References

1. Fang, Q., P. M. Meaney, and K. D. Paulsen, "Viable three-dimensional medical microwave tomography: Theory and numerical experiments," IEEE Trans. on Antennas and Propagation, Vol. 58, No. 2, 449-458, Feb. 2010.
doi:10.1109/TAP.2009.2037691        Google Scholar

2. Shea, J. D., P. Kosmas, S. C. Hagness, and B. D. Van Veen, "Three-dimensional microwave imaging of realistic numerical breast phantoms via a multiple-frequency inverse scattering technique," Phys. Med. Biol., Vol. 37, No. 8, 4210-26, Aug. 2010.        Google Scholar

3. Cao, C., L. Nie, C. Lou, and D. Xing, "The feasibility of using microwave-induced thermoacoustic tomography for detection and evaluation of renal calculi," Phys. Med. Biol., Vol. 55, No. 17, 5203-12, Sep. 2010.
doi:10.1088/0031-9155/55/17/020        Google Scholar

4. Yedlin, M. J., A. Cresp, C. Pichot, I. Aliferis, J. Y. Dauvignac, and S. Gaffet, "Ultra-wideband microwave imaging of heterogeneities," Journal of Applied Geophysics, Vol. 68, No. 1, 17-25, May 2009.
doi:10.1016/j.jappgeo.2008.08.005        Google Scholar

5. Remis, R. F. and P. M. Van den Berg, "On the equivalence of the Newton-Kantorovich and distorted Born methods," Inverse Problems, Vol. 16 2000, PII: S0266-5611(00)08356-8..        Google Scholar

6. Joachimowicz, N., J. J. Mallorqui, J. C. Bolomey, and A. Broquetas, "Convergence and stability assessment of newton-kantorovich reconstruction algorithms for microwave tomography," IEEE Trans. on Medical Imaging, Vol. 17, No. 4, 562-570, Aug. 1998.
doi:10.1109/42.730401        Google Scholar

7. Omrogbe, D. E. A. and A. A. Osagiede, "Preconditionning the modified conjugate gradient method," Global Journal of Mathematical Sciences, Vol. 8, No. 2, 2009.        Google Scholar

8. Mhamdi, B., K. Grayaa, and T. Aguili, "Microwave imaging of dielectric cylinders from experimental scattering data based on the genetic algorithms, neural networks and a hybrid micro genetic algorithm with conjugate gradient," Int. J. of Electron. Commun. (AEU), Vol. 65, No. 2, 140-147, Feb. 2011.
doi:10.1016/j.aeue.2010.02.009        Google Scholar

9. Mhamdi, B., K. Grayaa, and T. Aguili, "Hybrid of particle swarm optimization, simulated annealing and tabu search for the reconstruction of two-dimensional targets from laboratory-controlled data," Progress In Electromagnetics Research B, Vol. 28, 1-18, 2011.        Google Scholar

10. Osher, S. and J. Sethian, "Fronts propagation with curvature dependent speed: algorithms based on Hamilton-Jacobi formula-tions," J. Comput. Phys., Vol. 79, No. 1, 12-49, 1988.
doi:10.1016/0021-9991(88)90002-2        Google Scholar

11. Chunming, L., X. Chenyang, G. Changfeng, and D. F. Martin, "Distance regularized level set evolution and its application to image segmentation," IEEE Trans. on Image Processing, Vol. 19, No. 12, 3243-3253, Dec. 2010.
doi:10.1109/TIP.2010.2069690        Google Scholar

12. Brodersen, A., K. Museth, S. Porumbescu, and B. Budge, "Geometric Texturing Using Level Sets," IEEE Trans. on Visualization and Computer Graphics, Vol. 14, No. 2, 277-288, Mar.-Apr. 2008.
doi:10.1109/TVCG.2007.70408        Google Scholar

13. Young, S. K., K. B. Jin, and P. Il Han, "A level set method for shape optimization of electromagnetic systems," IEEE Trans. on Magnetics, Vol. 45, No. 3, 1466-1469, Mar. 2009.
doi:10.1109/TMAG.2009.2012681        Google Scholar

14. Woten, D. A., M. R. Hajihashemi, A. M. Hassan, and M. El-Shenawee, "Experimental microwave validation of level set reconstruction algorithm," IEEE Trans. on Antennas and Propagation, Vol. 58, No. 1, 230-233, Jan. 2010.
doi:10.1109/TAP.2009.2036186        Google Scholar

15. Hu, J.-L., Z. Wu, H. McCann, L. E. Davis, and C.-G. Xie, "Quasi-three-dimensional method of moments for analyzing electromagnetic wave scattering in microwave tomography systems," IEEE Sensors Journal, Vol. 5, No. 2, 216-223, Apr. 2005.
doi:10.1109/JSEN.2004.842294        Google Scholar

16. Belkebir, K. and M. Saillard, "Special section: Testing inversion algorithms against experimental data," Inverse Problems, Vol. 17, 1565-1571, 2001.
doi:10.1088/0266-5611/17/6/301        Google Scholar

17. Osher, S. and R. Fedkiw, "Level set methods and dynamic implicit surface," Applied Mathematical Sciences, Vol. 53, Springer-Verlag, New York, 2003.        Google Scholar

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