Mathematics of Hybrid Imaging: A Brief Review
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[1] G. Bal,et al. Inverse scattering and acousto-optic imaging. , 2009, Physical review letters.
[2] L. Kunyansky,et al. Explicit inversion formulae for the spherical mean Radon transform , 2006, math/0609341.
[3] Linh V. Nguyen,et al. Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media , 2008 .
[4] F. John. Plane Waves and Spherical Means: Applied To Partial Differential Equations , 1981 .
[5] Gunther Uhlmann,et al. Inverse Problems: Theory and Applications , 2003 .
[6] Linh V. Nguyen. On singularities and instability of reconstruction in thermoacoustic tomography , 2009 .
[7] Peter Kuchment,et al. Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography with variable sound speed , 2007, 0706.0598.
[8] Joyce R. McLaughlin,et al. Unique identifiability of elastic parameters from time-dependent interior displacement measurement , 2004 .
[9] D. A. Popov,et al. Image Restoration in Optical-Acoustic Tomography , 2004, Probl. Inf. Transm..
[10] Rakesh,et al. Determining a Function from Its Mean Values Over a Family of Spheres , 2004, SIAM J. Math. Anal..
[11] Linh V. Nguyen,et al. Range conditions for a spherical mean transform and global extendibility of solutions of the darboux equation , 2010 .
[12] Nedjeljko Frančula. The National Academies Press , 2013 .
[13] J Jossinet,et al. Experimental measurement of the acousto-electric interaction signal in saline solution. , 2000, Ultrasonics.
[14] Alexander Graham Bell,et al. Upon the production and reproduction of sound by light , 1880 .
[15] Azriel Z. Genack,et al. Acousto-optic tomography with multiply scattered light , 1997 .
[16] Tuan Vo-Dinh,et al. Biomedical Photonics Handbook , 2003 .
[17] Habib Ammari,et al. An Introduction to Mathematics of Emerging Biomedical Imaging , 2008 .
[18] R. Kruger,et al. Photoacoustic ultrasound (PAUS)--reconstruction tomography. , 1995, Medical physics.
[19] J. Jossinet,et al. Quantitative assessment of ultrasound-induced resistance change in saline solution , 2000, Medical and Biological Engineering and Computing.
[20] Jérôme Fehrenbach,et al. Imaging by Modification: Numerical Reconstruction of Local Conductivities from Corresponding Power Density Measurements , 2009, SIAM J. Imaging Sci..
[21] Editors , 1986, Brain Research Bulletin.
[22] Rakesh,et al. The range of the spherical mean value operator for functions supported in a ball , 2006 .
[23] Michael Taylor,et al. Partial Differential Equations I: Basic Theory , 1996 .
[24] S. Arridge,et al. Estimating chromophore distributions from multiwavelength photoacoustic images. , 2009, Journal of the Optical Society of America. A, Optics, image science, and vision.
[25] Peter Kuchment,et al. Mathematics of thermoacoustic tomography , 2007, European Journal of Applied Mathematics.
[26] Guillaume Bal,et al. Quantitative thermo-acoustics and related problems , 2011 .
[27] Alexander A. Oraevsky,et al. Image reconstruction in 3D optoacoustic tomography system with hemispherical transducer array , 2002, SPIE BiOS.
[28] Guillaume Bal,et al. Inverse transport theory of photoacoustics , 2009, 0908.4012.
[29] Peter Kuchment,et al. Range conditions for a spherical mean transform , 2009, 0902.4272.
[30] Angela W. Ma,et al. Current Density Impedance Imaging , 2008, IEEE Transactions on Medical Imaging.
[31] Gunther Uhlmann,et al. Inverse boundary value problems and applications , 1992 .
[32] G. Maret,et al. Ultrasonic modulation of multiply scattered light , 1995 .
[33] Guillaume Bal,et al. On multi-spectral quantitative photoacoustic tomography in diffusive regime , 2012 .
[34] G. Uhlmann,et al. The Calderón problem with partial data , 2004, math/0405486.
[35] Guillaume Bal,et al. Inverse diffusion theory of photoacoustics , 2009, 0910.2503.
[36] Alexandru Tamasan,et al. Recovering the conductivity from a single measurement of interior data , 2009 .
[37] Dustin Steinhauer. A Reconstruction Procedure for Thermoacoustic Tomography in the Case of Limited Boundary Data , 2009 .
[38] Plamen Stefanov,et al. Thermoacoustic tomography arising in brain imaging , 2010, 1009.1687.
[39] F. Natterer. The Mathematics of Computerized Tomography , 1986 .
[40] Lihong V. Wang. Photoacoustic imaging and spectroscopy , 2009 .
[41] Frank K. Tittel,et al. Laser-based optoacoustic imaging in biological tissues , 1994, SPIE LASE.
[42] S. Helgason. Integral Geometry and Radon Transforms , 2010 .
[43] David Isaacson,et al. Comment on Calderon's Paper: "On an Inverse Boundary Value Problem" , 1989 .
[44] A. Nachman,et al. Global uniqueness for a two-dimensional inverse boundary value problem , 1996 .
[45] Huabei Jiang,et al. Simultaneous reconstruction of acoustic and optical properties of heterogeneous media by quantitative photoacoustic tomography. , 2006, Optics express.
[46] J. Craggs. Applied Mathematical Sciences , 1973 .
[47] Leonid Kunyansky. A series solution and a fast algorithm for the inversion of the spherical mean Radon transform , 2007 .
[48] Markus Haltmeier,et al. Inversion of Spherical Means and the Wave Equation in Even Dimensions , 2007, SIAM J. Appl. Math..
[49] Hongkai Zhao,et al. A New Numerical Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed , 2011, 1101.3729.
[50] Margaret Cheney,et al. A Mathematical Tutorial on Synthetic Aperture Radar , 2001, SIAM Rev..
[51] G. Uhlmann. Inside out : inverse problems and applications , 2003 .
[52] Victor Palamodov. Remarks on the generalFunk transform and thermoacoustic tomography , 2010 .
[53] Lihong V. Wang,et al. Acousto-electric tomography , 2004, SPIE BiOS.
[54] Dustin Steinhauer. A Uniqueness Theorem for Thermoacoustic Tomography in the Case of Limited Boundary Data , 2009 .
[55] Peter Kuchment,et al. Range conditions for the exponential Radon transform , 1996 .
[56] Peter Kuchment,et al. A Range Description for the Planar Circular Radon Transform , 2006, SIAM J. Math. Anal..
[57] 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.
[58] G. Bal. Cauchy problem for Ultrasound Modulated EIT , 2012, 1201.0972.
[59] B. Vainberg,et al. ON THE SHORT WAVE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF STATIONARY PROBLEMS AND THE ASYMPTOTIC BEHAVIOUR AS t???? OF SOLUTIONS OF NON-STATIONARY PROBLEMS , 1975 .
[60] G. Bal,et al. Inverse diffusion from knowledge of power densities , 2011, 1110.4577.
[61] Frank K. Tittel,et al. Laser optoacoustic tomography for medical diagnostics: principles , 1996, Photonics West.
[62] E. T. Quinto,et al. Range descriptions for the spherical mean Radon transform. I. Functions supported in a ball , 2006, math/0606314.
[63] A. Kirsch. On the existence of transmission eigenvalues , 2009 .
[64] Rakesh,et al. The spherical mean value operator with centers on a sphere , 2007 .
[65] John C. Schotland,et al. Tomography and Inverse Transport Theory , 2011 .
[66] Mark A. Anastasio,et al. Reconstruction of speed-of-sound and electromagnetic absorption distributions in photoacoustic tomography , 2006, SPIE BiOS.
[67] Peter Kuchment,et al. Mathematics of thermoacoustic and photoacoustic tomography , 2007 .
[68] D. V. Sushko,et al. A parametrix for the problem of optical-acoustic tomography , 2002 .
[69] Yao Sun,et al. Simultaneous reconstruction of acoustic and optical properties of heterogeneous tissues by quantitative photoacoustic tomography , 2007, SPIE BiOS.
[70] Lihong V. Wang,et al. Reconstructions in limited-view thermoacoustic tomography. , 2004, Medical physics.
[71] N. Holmer,et al. Electrical Impedance Tomography , 1991 .
[72] G. Uhlmann,et al. Thermoacoustic tomography with variable sound speed , 2009, 0902.1973.
[73] S. Jacques,et al. Iterative reconstruction algorithm for optoacoustic imaging. , 2002, The Journal of the Acoustical Society of America.
[74] Hongkai Zhao,et al. An Efficient Neumann Series-Based Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed , 2011, SIAM J. Imaging Sci..
[75] Eric Bonnetier,et al. Electrical Impedance Tomography by Elastic Deformation , 2008, SIAM J. Appl. Math..
[76] R. Courant,et al. Methods of Mathematical Physics , 1962 .
[77] B. T. Cox,et al. The challenges for quantitative photoacoustic imaging , 2009, BiOS.
[78] Y. Egorov,et al. Partial Differential Equations IV , 1992 .
[79] Lihong V. Wang,et al. Thermoacoustic tomography with correction for acoustic speed variations , 2006, Physics in medicine and biology.
[80] R.W.B. Stephens,et al. IEEE ultrasonics symposium , 1972 .
[81] 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.
[82] G. Beylkin. The inversion problem and applications of the generalized radon transform , 1984 .
[83] R. Huesman,et al. Emission computed tomography , 1979 .
[84] Gabor T. Herman,et al. Image Reconstruction From Projections , 1975, Real Time Imaging.
[85] P. Kuchment. Generalized Transforms of Radon Type and Their Applications , 2005 .
[86] Yulia Hristova,et al. Time reversal in thermoacoustic tomography—an error estimate , 2008, 0812.0606.
[87] Peter Kuchment,et al. 2D and 3D reconstructions in acousto-electric tomography , 2010, 1011.3059.
[88] W. D. Evans,et al. PARTIAL DIFFERENTIAL EQUATIONS , 1941 .
[89] P. Malliavin,et al. Selected Papers of Alberto P. Calderon with Commentary , 2008 .
[90] Eric Todd Quinto,et al. The radon transform, inverse problems, and tomography : American Mathematical Society short course, January 3-4, 2005, Atlanta, Georgia , 2006 .
[91] A. Bell. On the production and reproduction of sound by light , 1880, American Journal of Science.
[92] D. Colton,et al. The interior transmission problem , 2007 .
[93] Lihong V. Wang,et al. Limited view thermoacoustic tomography , 2002, Proceedings of the Second Joint 24th Annual Conference and the Annual Fall Meeting of the Biomedical Engineering Society] [Engineering in Medicine and Biology.
[94] P. Kuchment,et al. On local tomography , 1995 .
[95] Plamen Stefanov,et al. Integral Geometry of Tensor Fields on a Class of Non-Simple Riemannian Manifolds , 2006 .
[96] Eung Je Woo,et al. Magnetic Resonance Electrical Impedance Tomography (MREIT) , 2011, SIAM Rev..
[97] J. Ralston. Solutions of the wave equation with localized energy , 1969 .
[98] Fioralba Cakoni,et al. The Existence of an Infinite Discrete Set of Transmission Eigenvalues , 2010, SIAM J. Math. Anal..
[99] Victor Palamodov. Remarks on the general Funk-Radon transform and thermoacoustic tomography , 2007 .
[100] L. Ehrenpreis. The Universality of the Radon Transform , 2003 .
[101] John Sylvester,et al. Discreteness of Transmission Eigenvalues via Upper Triangular Compact Operators , 2011, SIAM J. Math. Anal..
[102] Jin Zhang,et al. Half-time image reconstruction in thermoacoustic tomography , 2005, IEEE Transactions on Medical Imaging.
[103] Peter Kuchment,et al. Synthetic focusing in ultrasound modulated tomography , 2009, 0901.2552.
[104] Eung Je Woo,et al. Magnetic resonance electrical impedance tomography (MREIT) for high-resolution conductivity imaging , 2008, Physiological measurement.
[105] Guillaume Bal,et al. On multi-spectral quantitative photoacoustic tomography , 2011 .
[106] Sun,et al. Photoacoustic monopole radiation in one, two, and three dimensions. , 1991, Physical review letters.
[107] N. Burq. Décroissance de l'énergie locale de l'équation des ondes pour le problème extérieur et absence de résonance au voisinage du réel , 1998 .
[108] Eric Todd Quinto,et al. The Radon Transform, Inverse Problems, and Tomography , 2006 .
[109] S. Helgason. The Radon Transform , 1980 .
[110] V. Palamodov. Reconstructive Integral Geometry , 2004 .
[111] Peter Kuchment,et al. Stabilizing inverse problems by internal data , 2011, 1110.1819.
[112] Habib Ammari,et al. Mathematical Modeling in Photoacoustic Imaging of Small Absorbers , 2010, SIAM Rev..
[113] Yves Capdeboscq,et al. A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction , 2003 .
[114] A. Manduca,et al. Magnetic resonance elastography by direct visualization of propagating acoustic strain waves. , 1995, Science.
[115] Alexandru Tamasan,et al. Conductivity imaging with a single measurement of boundary and interior data , 2007 .
[116] Simon R. Arridge,et al. Multiple Illumination Quantitative Photoacoustic Tomography using Transport and Diffusion Models , 2011 .
[117] R. Kress,et al. Inverse Acoustic and Electromagnetic Scattering Theory , 1992 .
[118] Lihong V. Wang,et al. Ultrasound‐Modulated Optical Tomography , 2012 .
[119] Frank Natterer,et al. Mathematical methods in image reconstruction , 2001, SIAM monographs on mathematical modeling and computation.
[120] Richard Courant,et al. Methods of Mathematical Physics, Volume II: Partial Differential Equations , 1963 .
[121] Wolfgang Bangerth,et al. Reconstructions in ultrasound modulated optical tomography , 2009, 0910.2748.
[122] S. Helgason. Support of Radon Transforms , 1980 .
[123] Kari Astala,et al. Calderon's inverse conductivity problem in the plane , 2006 .
[124] B. Vainberg,et al. Asymptotic methods in equations of mathematical physics , 1989 .
[125] Xu Xiao. Photoacoustic imaging in biomedicine , 2008 .
[126] B. Brown,et al. Applied potential tomography. , 1989, Journal of the British Interplanetary Society.
[127] Otmar Scherzer,et al. Impedance-Acoustic Tomography , 2008, SIAM J. Appl. Math..
[128] A. Pinkus,et al. Fundamentality of Ridge Functions , 1993 .
[129] John Sylvester,et al. Transmission Eigenvalues , 2008, SIAM J. Math. Anal..
[130] J. Sylvester,et al. A global uniqueness theorem for an inverse boundary value problem , 1987 .
[131] Leonid Kunyansky. Thermoacoustic tomography with detectors on an open curve: an efficient reconstruction algorithm , 2008 .
[132] V. Tuchin. Handbook of Optical Biomedical Diagnostics , 2002 .
[133] Eric Todd Quinto,et al. Singularities of the X-ray transform and limited data tomography , 1993 .
[134] Eric Todd Quinto,et al. Analysis, geometry, number theory : the mathematics of Leon Ehrenpreis , 2000 .
[135] O. Scherzer. Handbook of mathematical methods in imaging , 2011 .
[136] T. Bowen. Radiation-Induced Thermoacoustic Soft Tissue Imaging , 1981 .
[137] Linh V. Nguyen. A family of inversion formulas in thermoacoustic tomography , 2009, 0902.2579.
[138] A. Pinkus,et al. Approximation of Multivariate Functions , 2004 .
[139] A. Tam. Applications of photoacoustic sensing techniques , 1986 .
[140] Kyle S. Hickmann. Unique determination of acoustic properties from thermoacoustic data , 2010 .
[141] Eric Todd Quinto,et al. Injectivity Sets for the Radon Transform over Circles and Complete Systems of Radial Functions , 1996 .
[142] G. Uhlmann,et al. The Calderón problem with partial data , 2004 .
[143] Linh V. Nguyen,et al. Range conditions for a spherical mean transform and global extension of solutions of Darboux equation , 2009 .
[144] S. G. Gindikin,et al. Selected Topics in Integral Geometry , 2003 .