A direct method for photoacoustic tomography with inhomogeneous sound speed
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[1] Peter Kuchment,et al. Mathematics of Photoacoustic and Thermoacoustic Tomography , 2009, Handbook of Mathematical Methods in Imaging.
[2] P. Burgholzer,et al. Photoacoustic tomography using a fiber based Fabry-Perot interferometer as an integrating line detector and image reconstruction by model-based time reversal method , 2007, European Conference on Biomedical Optics.
[3] M. Fink,et al. Time reversal of ultrasonic fields. I. Basic principles , 1992, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.
[4] C. Lubich. Convolution quadrature and discretized operational calculus. I , 1988 .
[5] Giovanni Monegato,et al. A space–time BIE method for nonhomogeneous exterior wave equation problems. The Dirichlet case , 2012 .
[6] M. Fink,et al. Time-reversal of ultrasonic fields. III. Theory of the closed time-reversal cavity , 1992, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.
[7] T. Ha-Duong,et al. On Retarded Potential Boundary Integral Equations and their Discretisation , 2003 .
[8] Chen Zhang,et al. Total variation based gradient descent algorithm for sparse-view photoacoustic image reconstruction. , 2012, Ultrasonics.
[9] Peter Kuchment,et al. Mathematics of thermoacoustic and photoacoustic tomography , 2007 .
[10] Leonid Kunyansky,et al. Reconstruction of a function from its spherical (circular) means with the centers lying on the surface of certain polygons and polyhedra , 2010, 1009.0288.
[11] M. Hanke. Conjugate gradient type methods for ill-posed problems , 1995 .
[12] W. D. Evans,et al. PARTIAL DIFFERENTIAL EQUATIONS , 1941 .
[13] Lihong V. Wang,et al. Dark-Field Confocal Photoacoustic Microscopy , 2009 .
[14] C. Bardos,et al. Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary , 1992 .
[15] A. Kirsch. An Introduction to the Mathematical Theory of Inverse Problems , 1996, Applied Mathematical Sciences.
[16] Minghua Xu,et al. Time-domain reconstruction for thermoacoustic tomography in a spherical geometry , 2002, IEEE Transactions on Medical Imaging.
[17] O. Scherzer. Handbook of mathematical methods in imaging , 2011 .
[18] D. L. Russell. Review: J.-L. Lions, Controlabilité Exacte, Perturbations et Stabilisation de Systèmes Distribués , 1990 .
[19] Linh V. Nguyen,et al. Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media , 2008 .
[20] F. G. Friedlander,et al. The Wave Equation on a Curved Space-Time (Book Review) , 1976 .
[21] P. Davies,et al. The Wave Equation on a Curved Space–Time , 1976 .
[22] Hongkai Zhao,et al. An Efficient Neumann Series-Based Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed , 2011, SIAM J. Imaging Sci..
[23] Yuan Xu,et al. Exact frequency-domain reconstruction for thermoacoustic tomography. I. Planar geometry , 2002, IEEE Transactions on Medical Imaging.
[24] Giovanni Monegato,et al. Exact nonreflecting boundary conditions for exterior wave equation problems , 2014 .
[25] Minghua Xu,et al. Time-domain reconstruction algorithms and numerical simulations for thermoacoustic tomography in various geometries , 2003, IEEE Transactions on Biomedical Engineering.
[26] Peter Kuchment,et al. Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography with variable sound speed , 2007, 0706.0598.
[27] Yiqiu Dong,et al. An algorithm for total variation regularized photoacoustic imaging , 2015, Adv. Comput. Math..
[28] Jean E. Roberts,et al. Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation , 2000, SIAM J. Numer. Anal..
[29] Yulia Hristova,et al. Time reversal in thermoacoustic tomography—an error estimate , 2008, 0812.0606.
[30] Peter Kuchment,et al. Mathematics of thermoacoustic tomography , 2007, European Journal of Applied Mathematics.
[31] Dimple Modgil,et al. Image reconstruction in photoacoustic tomography with variable speed of sound using a higher-order geometrical acoustics approximation. , 2010, Journal of biomedical optics.
[32] H. Engl,et al. Regularization of Inverse Problems , 1996 .
[33] J. Craggs. Applied Mathematical Sciences , 1973 .
[34] J. Lions,et al. Non-homogeneous boundary value problems and applications , 1972 .
[35] C. Lubich. Convolution quadrature and discretized operational calculus. II , 1988 .
[36] Lihong V. Wang. Photoacoustic imaging and spectroscopy , 2009 .
[37] Peter Monk,et al. A new algorithm in electromagnetic inverse scattering theory with an application to medical imaging , 1997 .
[38] Minghua Xu,et al. Exact frequency-domain reconstruction for thermoacoustic tomography. II. Cylindrical geometry , 2002, IEEE Transactions on Medical Imaging.
[39] Patrick Joly,et al. Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains , 2011, J. Comput. Phys..
[40] Plamen Stefanov,et al. Thermoacoustic tomography arising in brain imaging , 2010, 1009.1687.
[41] B T Cox,et al. k-Wave: MATLAB toolbox for the simulation and reconstruction of photoacoustic wave fields. , 2010, Journal of biomedical optics.
[42] Bernardo Cockburn. Discontinuous Galerkin methods , 2003 .
[43] G. Uhlmann,et al. Thermoacoustic tomography with variable sound speed , 2009, 0902.1973.
[44] Otmar Scherzer,et al. Variational Methods in Imaging , 2008, Applied mathematical sciences.
[45] R. Kress,et al. Inverse Acoustic and Electromagnetic Scattering Theory , 1992 .
[46] C. W. Groetsch,et al. The theory of Tikhonov regularization for Fredholm equations of the first kind , 1984 .
[47] Xu Xiao. Photoacoustic imaging in biomedicine , 2008 .
[48] Mark A. Anastasio,et al. Photoacoustic and Thermoacoustic Tomography: Image Formation Principles , 2015, Handbook of Mathematical Methods in Imaging.
[49] V. Komornik. Exact Controllability and Stabilization: The Multiplier Method , 1995 .
[50] Lihong V. Wang,et al. Prospects of photoacoustic tomography. , 2008, Medical physics.