eprintid: 668 rev_number: 9 eprint_status: archive userid: 4 dir: disk0/00/00/06/68 datestamp: 2015-04-13 08:35:59 lastmod: 2018-02-26 13:55:44 status_changed: 2015-04-13 08:35:59 type: monograph metadata_visibility: show creators_name: Poli, L. creators_name: Oliveri, G. creators_name: Massa, A. title: Performance comparison between multi-frequency deterministic and probabilistic approaches ispublished: pub subjects: MCS full_text_status: public monograph_type: technical_report keywords: Compressive Sensing, Inverse Scattering, Interval Analysis abstract: This report is aimed to show a comparison between the probabilistic inversion methods based on single-task and multi-task Compressive Sensing (CS) strategies recast in a Bayesian framework and a deterministic technique of the state-of-the-art (a conjugate gradient-based method). The results show in particular the better capabilities of the multi-task CS method to take advantage of multi-frequency data when dealing with small-size scatterer in inverse scattering problems. The efficiency and robustness of such a method is validated considering different sparse-scatterer scenarios and different value of signal-to-noise ratio on the data. date: 2015 publisher: University of Trento referencetext: [1] G. Oliveri, P. Rocca, and A. Massa, “A Bayesian compressive sampling-based inversion for imaging sparse scatterers,” IEEE Trans. Geosci. Remote Sens., vol. 49, no. 10, pp. 3993-4006, Oct. 2011. [2] L. Poli, G. Oliveri, P.-P. Ding, T. Moriyama, and A. Massa, "Multifrequency Bayesian compressive sensing methods for microwave imaging," Journal of the Optical Society of the America A, vol. 31, no. 11, pp. 2415-2428, 2014. [3] G. Oliveri, N. Anselmi, and A. Massa, "Compressive sensing imaging of non-sparse 2D scatterers by a total-variation approach within the Born approximation," IEEE Trans. Antennas Propag., vol. 62, no. 10, pp. 5157-5170, Oct. 2014. [4] L. Poli, G. Oliveri, and A. Massa, "Imaging sparse metallic cylinders through a Local Shape Function Bayesian Compressive Sensing approach," Journal of Optical Society of America A, vol. 30, no. 6, pp. 1261-1272, 2013. [5] F. Viani, L. Poli, G. Oliveri, F. Robol, and A. Massa, "Sparse scatterers imaging through approximated multitask compressive sensing strategies," Microwave Opt. Technol. Lett., vol. 55, no. 7, pp. 1553-1558, Jul. 2013. [6] L. Poli, G. Oliveri, P. Rocca, and A. Massa, "Bayesian compressive sensing approaches for the recon- struction of two-dimensional sparse scatterers under TE illumination," IEEE Trans. Geosci. Remote Sensing, vol. 51, no. 5, pp. 2920-2936, May 2013. [7] L. Poli, G. Oliveri, and A. Massa, "Microwave imaging within the first-order Born approximation by means of the contrast-field Bayesian compressive sensing," IEEE Trans. Antennas Propag., vol. 60, no. 6, pp. 2865-2879, Jun. 2012. [8] G. Oliveri, L. Poli, P. Rocca, and A. Massa, "Bayesian compressive optical imaging within the Rytov approximation," Optics Letters, vol. 37, no. 10, pp. 1760-1762, 2012. [9] L. Poli, G. Oliveri, F. Viani, and A. Massa, "MT-BCS-based microwave imaging approach through minimum-norm current expansion," IEEE Trans. Antennas Propag., vol. 61, no. 9, pp. 4722-4732, Sep. 2013. [10] G. Oliveri, P.-P. Ding, and L. Poli "3D crack detection in anisotropic layered media through a sparseness- regularized solver," IEEE Antennas Wireless Propag. Lett., in press. [11] M. Salucci, G. Oliveri, A. Randazzo, M. Pastorino, and A. Massa, "Electromagnetic subsurface pro- specting by a multifocusing inexact Newton method within the second-order Born approximation," J. Opt. Soc. Am. A., vol. 31, no. 6, pp. 1167-1179, Jun. 2014. [12] S. C. Hagness, E. C. Fear, and A. Massa, "Guest Editorial: Special Cluster on Microwave Medical Imaging," IEEE Antennas Wireless Propag. Lett., vol. 11, pp. 1592-1597, 2012. [13] G. Oliveri, Y. Zhong, X. Chen, and A. Massa, "Multi-resolution subspace-based optimization method for inverse scattering," Journal of Optical Society of America A, vol. 28, no. 10, pp. 2057-2069, Oct. 2011. [14] A. Randazzo, G. Oliveri, A. Massa, and M. Pastorino, "Electromagnetic inversion with the multiscaling inexact-Newton method - Experimental validation," Microwave Opt. Technol. Lett., vol. 53, no. 12, pp. 2834-2838, Dec. 2011. [15] G. Oliveri, L. Lizzi, M. Pastorino, and A. Massa, "A nested multi-scaling inexact-Newton iterative approach for microwave imaging," IEEE Trans. Antennas Propag., vol. 60, no. 2, pp. 971-983, Feb. 2012. [16] G. Oliveri, A. Randazzo, M. Pastorino, and A. Massa, "Electromagnetic imaging within the contrast- source formulation by means of the multiscaling inexact Newton method," Journal of Optical Society of America A, vol. 29, no. 6, pp. 945-958, 2012. [17] M. Benedetti, D. Lesselier, M. Lambert, and A. Massa, "Multiple shapes reconstruction by means of multi-region level sets," IEEE Trans. Geosci. Remote Sensing, vol. 48, no. 5, pp. 2330-2342, May 2010. [18] M. Benedetti, D. Lesselier, M. Lambert, and A. Massa, "A multi-resolution technique based on shape optimization for the reconstruction of homogeneous dielectric objects," Inverse Problems, vol. 25, no. 1, pp. 1-26, Jan. 2009. [19] M. Salucci, D. Sartori, N. Anselmi, A. Randazzo, G. Oliveri, and A. Massa, "Imaging buried ob- jects within the second-order Born approximation through a multiresolution-regularized inexact-Newton method", in 2013 International Symposium on Electromagnetic Theory (EMTS), (Hiroshima, Japan), pp. 116-118, May 20-24 2013. [20] T. Moriyama, G. Oliveri, M. Salucci, and T. Takenaka, "A multi-scaling forward-backward time-stepping method for microwave imaging," IEICE Electronics Express, vol. 11, no. 16, pp. 1-12, Aug. 2014. [21] P. Rocca, M. Carlin, L. Manica, and A. Massa, "Microwave imaging within the interval analysis frame- work," Progress in Electromagnetic Research, vol. 143, pp. 675-708, 2013. [22] P. Rocca, M. Carlin, G. Oliveri, and A. Massa, "Interval analysis as applied to inverse scattering," IEEE International Symposium on Antennas Propag. (APS/URSI 2013), Chicago, Illinois, USA, Jul. 8-14, 2012. [23] L. Manica, P. Rocca, M. Salucci, M. Carlin, and A. Massa, "Scattering data inversion through interval analysis under Rytov approximation," 7th European Conference on Antennas Propag. (EuCAP 2013), Gothenburg, Sweden, Apr. 8-12, 2013. [24] P. Rocca, M. Carlin, and A. Massa, "Imaging weak scatterers by means of an innovative inverse scattering technique based on the interval analysis," 6th European Conference on Antennas Propag. (EuCAP 2012), Prague, Czech Republic, Mar. 26-30, 2012. citation: Poli, L. and Oliveri, G. and Massa, A. (2015) Performance comparison between multi-frequency deterministic and probabilistic approaches. Technical Report. University of Trento. document_url: http://www.eledia.org/students-reports/668/1/Performance%20comparison%20between%20multi-frequency%20deterministic%20and%20probabilistic%20approaches.pdf