References
- Heck H, Nakamura G, Wang H. Linear sampling method for identifying cavities in a heat conductor. Inverse Prob. 2012;28:075014.
- Haddar H, Lechleiter A, Marmorat S. An improved time domain linear sampling method for Robin and Neumann obstacles. Applicable Anal. 2014;93(2):369–390.
- Cakoni F, Colton D. A qualitative approach to inverse scattering theory. Berlin: Springer; 2014.
- Colton D, Kress R. Inverse acoustic and electromagnetic scattering theory. 3rd ed. New York (NY): Springer; 2013.
- Colton D, Coyle J, Monk P. Recent developments in inverse acoustic scattering theory. SIAM Rev. 2000;42(3):369–414.
- Kirsch A, Grinberg N. The factorization method for inverse problems. Oxford: Oxford University Press; 2008.
- Cakoni F, Colton D, Haddar H. The linear sampling method for anisotropic media. J Comput Appl Math. 2002;146:285–299.
- Kirsch A, Liu X. The factorization method for inverse acoustic scattering by a penetrable anisotropic obstacle. Math Meth Appl Sci. 2000;37:1159–1170.
- Hu G, Yang J, Zhang B, et al. Near-field imaging of scattering obstacles with the factorization method. Inverse Prob. 2014;30:095005.
- Gylys-Colwell F. An inverse problem for the Helmholtz equation. Inverse Prob. 1996;12:139–156.
- Cakoni F, Harris I. The factorization method for a defective region in an anisotropic material. Inverse Prob. 2015;31:025002.
- Meng S, Cakoni F, Haddar H. The factorization method for a cavity in an inhomogeneous medium. Inverse Prob. 2014;30:045008.
- Cheney M. The linear sampling method and the MUSIC algorithm. Inverse Prob. 2001;17:591–595.
- Gintides D, Sini M, Thanh N. Detection of point-like scatterers using one type of scattered elastic waves. J Comput Appl Math. 2012;236:2137–2145.
- Salvatier J, Wiecki TV, Fonnesbeck C. Probabilistic programming in Python using PyMC3. PeerJ Comput Sci. 2016;2:55. Available from: https://doi.org/10.7717/peerj-cs.55.
- Poli L, Oliveri G, Massa A. Microwave imaging within the first-order Born approximation by means of the contrast-field Bayesian compressive sensing. IEEE Trans Antennas Propag. 2012;60(6):2865–2879.
- Marengo EA, Hernandez RD, Citron YR, et al. Compressive sensing for inverse scattering. Proceedings of the XXIX URSI Gen Assem; Chicago (IL), Jan 7--16, 2008.
- Marengo EA. Compressive sensing and signal subspace methods for inverse scattering including multiple scattering. Proceedings of the IEEE Geoscience Remote Sensing Symposium; Boston (MA), Jul 7--11, 2008.
- Marengo EA. Subspace and Bayesian compressive sensing methods in imaging. Proceedings of the Progress Electromagnetic Research Symposium; Cambridge (MA), Jul 2–6, 2008.
- Fouda AE, Teixeira FL. Bayesian compressive sensing for ultrawideband inverse scattering in random media. Inverse Prob. 2014;30(11):114017. Available from: http://arxiv.org/abs/1401.1092.
- Kirsch A. An integral equation for Maxwells equations in a layered medium with an application to the factorization method. J Integral Equ Appl. 2007;19:333–357.
- Kirsch A. The MUSIC algorithm and the factorization method in inverse scattering theory for inhomogeneous media. Inverse Prob. 2002;18:1025–1040.
- Lechleiter A. The factorization method is independent of transmission eigenvalues. Inverse Prob Imaging. 2009;3:123–138.
- Arens T. Why linear sampling method works. Inverse Prob. 2004;20(2004):163–173.
- Bonnet-BenDhia AS, Chesnel L, Haddar H. On the use of t-coercivity to study the interior transmission eigenvalue problem. C R Acad Sci Ser. 2011;I(340):647–651.
- Cakoni F, Haddar H, Harris I. Homogenization of the transmission eigenvalue problem for periodic media and application to the inverse problem. Inverse Prob Imaging. 2015;9(4):1025–1049.
- Cakoni F, Kirsch A. On the interior transmission eigenvalue problem. Int J Comp Sci Math. 2010;3:142–167.
- Audibert L, Haddar H. A generalized formulation of the linear sampling method with exact characterization of targets in terms of farfield measurements. Inverse Prob. 2014;30:035011.
- Arens T, Lechleiter A. Indicator functions for shape reconstruction related to the linear sampling method. SIAM J Imaging Sci. 2015;8(1):513–535.