Research

Our research concerns the theoretical and numerical development of robust and adaptive methodologies for broadband imaging in clutter. The word clutter expresses our uncertainty on the wave speed of the propagation medium. Our machinery is coherent interferometry (CINT), a state-of-the-art statistically stable imaging methodology, highly suitable for the development of imaging methods in clutter. We aim to extend CINT along two complementary directions: novel types of applications, and further mathematical and numerical development so as to assess and extend its range of applicability. Our results are expected to have a strong impact in a wide range of applications, including underwater acoustics, exploration geophysics and ultrasound non-destructive testing.

Publications

L. Borcea, L. Issa and C. Tsogka, Source localization in random acoustic waveguides, SIAM Multiscale Modeling Simulations, Vol. 8 (5), pp. 1981-2022, 2010. PDF

L. Borcea, G. Papanicolaou and C. Tsogka, Subspace projection filters for imaging in random media , Comptes Rendus Mecanique, Vol. 338, pp. 390--401 , 2010. PDF

L. Borcea, F. Gonzalez del Cueto, G. Papanicolaou and C. Tsogka, Filtering Random Layering Effects in Imaging, SIAM Multiscale Model. Simul., Vol. 8, pp. 751--781, 2010. PDF

L. Borcea, J. Garnier, G. Papanicolaou and C. Tsogka, Enhanced statistical stability in coherent interferometric imaging, Inverse Problems, 27 (8), p. 085003 , 2011. PDF

L. Borcea, J. Garnier, G. Papanicolaou and C. Tsogka, Coherent interferometric imaging, time gating and beamforming, Inverse Problems, Vol. 27, p 065008 (17pp) , 2011. PDF

R. Alonzo, L. Borcea, G. Papanicolaou and C. Tsogka, Detection and imaging in strongly backscattering randomly layered media, Inverse Problems, Vol. 27, p. 025004. , 2011. PDF

L. Borcea, G. Papanicolaou and C. Tsogka, Adaptive time-frequency detection and filtering for imaging in heavy clutter, SIAM Journal on Imaging Science, 4(3), pp. 827-849., 2011. PDF

L. Borcea F. Gonz\'alez del Cueto G. Papanicolaou and C. Tsogka, Filtering Deterministic Layer Effects in Imaging, SIAM Review 2012 , 54 (4), pp. 757-798, 2012. This is a SIGEST paper. PDF

J. Garnier and G. Papanicolaou and A. Semin and C. Tsogka, Signal-to-Noise Ratio Estimation in Passive Correlation-Based Imaging, SIAM Journal on Imaging Science, Vol. 6, No. 2, pp. 1092--1110, 2013. PDF

C. Tsogka and D. A. Mitsoudis and S. Papadimitropoulos, Selective imaging of extended reflectors in two-dimensional waveguides, SIAM Journal on Imaging Science, Vol. 6, No. 2, pp. 2714--2739, 2013. PDF

L. Borcea, J. Garnier and C. Tsogka, A quantitative study of source imaging in random waveguides, Commun. Math. Sci., Vol. 13, No. 3, pp. 749--776, 2015. PDF

J. Garnier and G. Papanicolaou and A. Semin and C. Tsogka, Signal to Noise Ratio Analysis in Virtual Source Array Imaging, SIAM Journal on Imaging Science, Vol. 8, No. 1, pp. 248--279, 2015. PDF

L. Borcea, J. Garnier and C. Tsogka, A quantitative study of source imaging in random waveguides, Commun. Math. Sci., Vol. 13, No. 3, pp. 749--776, 2015. PDF

L. Borcea, M. Moscoso, G. Papanicolaou and C. Tsogka, Synthetic aperture imaging of directional and frequency dependent reflectivity , SIAM Journal on Imaging Sciences, Vol. 9, No. 1, pp. 52--81, 2016. PDF

E. Daskalakis, C. Evangelidis, J. Garnier, N. Melis, G. Papanicolaou and C. Tsogka, Robust seismic velocity change estimation using ambient noise recordings , Geophysical Journal International, Vol. 205, pp. 1926--1936, 2016. PDF

C. Tsogka and D. A. Mitsoudis and S. Papadimitropoulos, Partial-aperture array imaging in acoustic waveguides, Inverse Problems, 32 (2016) 125011 (31pp). doi: http://dx.doi.org/10.1088/0266-5611/32/12/125011 PDF

C. Tsogka and M. Apostolopoulos, A comparative study of data filtering methods for imaging in strongly scattering media , Wave Motion (2017), pp. 97-113. doi: 10.1016/j.wavemoti.2016.09.009

L. Borcea, G. Papanicolaou and C. Tsogka, Time and direction of arrival detection and filtering for imaging in strongly scattering random media , Waves in Random and Complex Media, published online: 22 Mar 2017. PDF

C. Panagiotopoulos, Y. Petromichelakis and C. Tsogka, Time reversal and imaging for structures , in Dynamic Response of Infrastructure to Environmentally Induced Loads , A. Sextos and G.D. Manolis, Springer International Publishing AG, to be published in 2017. PDF


Conference Proceedings (refereed)

J. Garnier, F. Papanicolaou, A. Semin and C. Tsogka, Signal to noise ratio estimation in passive correlation based imaging, Proceedings of the 6th International Conference on Inverse Problems Control and Optimization, Ecole Polytechnique, Palaiseau, France, April 2-4, 2012.

A. Semin and C. Tsogka, Coherent imaging using cross-correlations of ambient noise sources, Proceedings of the 10th International Conference on Mathematical and Numerical Aspects of Wave Propagation ,Vancouver, Canada, July 25-29, 2011.

L. Borcea and G. Papanicolaou and C. Tsogka, Array imaging in heavy clutter, Proceedings of the 11th International Conference on Mathematical and Numerical Aspects of Wave Propagation ,Tunis, Tunisia, June 3-7, 2013.

C. Tsogka and D.A. Mitsoudis and S. Papadimitropoulos, Imaging extended reflectors in a two-dimensional waveguide, Proceedings of the 11th International Conference on Mathematical and Numerical Aspects of Wave Propagation ,Tunis, Tunisia, June 3-7, 2013.

C. Tsogka, Y. Petromichelakis and C. G. Panagiotopoulos, Influence of the boundaries in imaging for damage localization in 1d domains , Proceedings of the 8th GRACM International Congress on Computational Mechanics ,Volos, Greece, July 12-15, 2015.

C. G. Panagiotopoulos, Y. Petromichelakis and C. Tsogka, Time reversal in elastodynamics and applications to structural health monitoring, Proceedings of the 5th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering , Crete, Greece, May 25-27, 2015.

L. Borcea, E. Karasmani and C. Tsogka, Underwater source detection and localization with incoherent data, Proceedings of the 3rd Underwater Acoustic Conference and Exhibition ,Chania, Greece, June 21-26, 2015.