H. Ammari, An Introduction to Mathematics of Emerging Biomedical Imaging (Mathematiques et Application), Springer, 2008.
F. Cakoni and D. Colton, Qualitative Methods in Inverse Scattering Theory, Springer, Berlin, 2006.
F. Cakoni, D. Colton, and P. Monk, The Liner Sampling Method in Inverse Electromagnetic Scattering, SIAM, 2011.
D. Colton and R. Kress, Handbook of Mathematical Methods in Imaging(Scherzer O(ed.)), Chapter 13. Inverse Scattering, Springer, 2011.
D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory (3rd Ed), Springer, Berlin, 2013.
O. Dorn and D. Lesselier, Handbook of Mathematical Methods in Imaging( Scherzer O(ed.)), Chapter 10. Level Set Methods for Structural Invasion and Image Reconstruction, Springer, 2011.
U. Guo, F. Ma, and D. Zhang, An optimization method for acoustic inverse obstacle scattering problems with multiple incident waves, Inverse Problems in Science and Engineering 19 (2011), 461-484.
B. Guzina, F. Cakoni, and C. Bellis, On multi-frequency obstacle reconstruction via linear sampling method, Inverse Problems 26 (2010) 125005(29pp).
O. Ivanyshyn, Shape reconstruction of acoustic obstacles from the modulus of the far field pattern, Inverse Problems and Imaging 1(4) (2007), 609-622.
O. Ivanyshyn and T. Johansson, Nonlinear integral equation methods for the reconstruction of an acoustically sound-soft obstacle, Journal of Integral equations and applications 19(3) (2007), 289-308.
O. Ivanyshyn and R. Kress, Nonlinear integral equations in inverse obstacle scattering, Mathematical Methods in Scattering Theory and Biomedical Engineering (D. Fotiadis and C. Massalas(eds.)), World Scientific, (2006), 39-50.
T. Johansson and B. D. Sleeamn, Reconstruction of an acoustically sound-soft obstacle from one incident field and the far field pattern, IMA J. Appl. Math. 72 (2007), 96-112.
A. Kirsch, The domain derivative and two applications in inverse scattering theory, Inverse Problems 9 (1993), 81-96.
A. Kirsch and N. Grinberg, The Factorization Method for Inverse Problems, Oxford University Press, Oxford, 2008.
R. Kress and W. Rundel, Nonlinear integral equations and the iterative solution for an inverse boundary value problem, Inverse Problems 21 (2005), 1207-1223.
J. Lee and S. Kang, Complex nonlinear parameter estimation(CNPE) and obstacle shape reconstruction, Computers and Mathematics with Applications 67 (2014), 1631-1642.
R. Pothast, Frechet differentiability of boundary integral operators in inverse acoustic scattering, Inverse Problems 10 (1994), 431-447.
M. Schultz, Spline Analysis, Prentice-Hall, 1973.
J. Stoer and R. Bulirsch, Introduction to Numerical Analysis, 3rd Ed., Springer, 2002.