The conference was devoted to the discussion of present and future techniques in medical imaging, including 3D x-ray CT, ultrasound and diffraction tomography, and biomagnetic ima- ging. The mathematical models, their theoretical aspects and the development of algorithms were treated. The proceedings contains surveys on reconstruction in inverse obstacle scat- tering, inversion in 3D, and constrained least squares pro- blems.Research papers include besides the mentioned imaging techniques presentations on image reconstruction in Hilbert spaces, singular value decompositions, 3D cone beam recon- struction, diffuse tomography, regularization of ill-posed problems, evaluation reconstruction algorithms and applica- tions in non-medical fields. Contents: Theoretical Aspects: J.Boman: Helgason' s support theorem for Radon transforms-a newproof and a generalization -P.Maass: Singular value de- compositions for Radon transforms- W.R.Madych: Image recon- struction in Hilbert space -R.G.Mukhometov: A problem of in- tegral geometry for a family of rays with multiple reflec- tions -V.P.Palamodov: Inversion formulas for the three-di- mensional ray transform - Medical Imaging Techniques: V.Friedrich: Backscattered Photons - are they useful for a surface - near tomography - P.Grangeat: Mathematical frame- work of cone beam 3D reconstruction via the first derivative of the Radon transform -P.Grassin,B.Duchene,W.Tabbara: Dif- fraction tomography: some applications and extension to 3D ultrasound imaging -F.A.Gr}nbaum: Diffuse tomography: a re- fined model -R.Kress,A.Zinn: Three dimensional reconstruc- tions in inverse obstacle scattering -A.K.Louis: Mathemati- cal questions of a biomagnetic imaging problem - Inverse Problems and Optimization: Y.Censor: On variable block algebraic reconstruction techniques -P.P.Eggermont: On Volterra-Lotka differential equations and multiplicative algorithms for monotone complementary problems
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Gabor T. Herman received his Ph.D. degree from the University of London, England in 1968. From 1969 to 1981, he was with the Department of Computer Science, State University of New York at Buffalo, where he directed the Medical Image Processing Group. From 1981 to 2000, he was a Professor in the Medical Imaging Section of the Department of Radiology, University of Pennsylvania. Currently, he is a Distinguished Professor in the Department of Computer Science, Graduate Center, City University of New York, where he heads the Discrete Imaging and Graphics group.
His books include 3D Imaging in Medicine (CRC, 1991 and 2000), Geometry of Digital Spaces (Birkhauser, 1998), Discrete Tomography: Foundations, Algorithms and Applications (Birkhauser, 1999), Advances in Discrete Tomography and Its Applications (Birkhauser, 2007), and Fundamentals of Computerized Tomography: Image Reconstruction from Projections (Springer, 2009). During 1992-4 he was the Editor-in-Chief of the IEEE Transactions on Medical Imaging.
Gabor T. Herman has honorary doctorates from Linkoping University (Sweden), Jozsef Attila University, Szeged (Hungary) and University of Haifa (Israel). He has been elected to be a Fellow of the Institute of Electrical and Electronics Engineers, the British Computer Society and the American Institute for Medical and Biological Engineering. He has been Principle Investigator on many funded research projects; a current one is Image Processing in Biological 3D Electron Microscopy (National Institutes of Health, 2001-2010).
