Handbook of mathematical methods in imaging. Vol.1 / ed. by O.Scherzer. - New York: Springer, 2011. - xxiii, 444 p.: ill. - Incl. bibl. ref. and index. - ISBN 978-0-387-92919-4  Место хранения:   014 | Институт теоретической и прикладной механики СО РАН | Новосибирск | Библиотека

Оглавление / Contents

Preface ......................................................... v About the Editor ............................................... xi List of Contributors ......................................... xiii Volume 1 Inverse Problems - Methods 1 Linear Inverse Problems ...................................... 3 Charles Groetsch 2 Large-Scale Inverse Problems in Imaging ..................... 43 Julianne Chung, Sarah Knepper, James G. Nagy 3 Regularization Methods for Ill-Posed Problems ............... 87 Jin Cheng, Bernd Hofmann 4 Distance Measures and Applications to Multi-Modal Variational Imaging ......................................... 11 Christiane Pöschl, Otmar Scherzer 5 Energy Minimization Methods ................................ 139 Mila Nikolova 6 Compressive Sensing ........................................ 187 Massimo Fornasier, Holger Rauhut 7 Duality and Convex Programming ............................. 229 Jonathan M. Borwein, D. Russell Luke 8 EM Algorithms .............................................. 271 Charles Byrne, Paul P.B. Eggermont 9 Iterative Solution Methods ................................. 345 Martin Burger, Barbara Kaltenbacher, Andreas Neubauer 10 Level Set Methods for Structural Inversion and Image Reconstruction ............................................. 385 Oliver Dorn, Dominique Lesselier Volume 2 Inverse Problems - Case Examples 11 Expansion Methods .......................................... 447 Habib Ammari, Hyeonbae Kang 12 Sampling Methods ........................................... 501 Martin Hanke, Andreas Kirsch 13 Inverse Scattering ......................................... 551 David Colton, Rainer Kress 14 Electrical Impedance Tomography ............................ 599 Andy Adler, Romina Gaburro-William Lionheart 15 Synthetic Aperture Radar Imaging ........................... 655 Margaret Cheney, Brett Borden 16 Tomography ................................................. 691 Gabor T. Herman 17 Optical Imaging ............................................ 735 Simon R. Arridge, Jari P. Kaipio Ville Kolehmainen, Tanja Tarvainen 18 Photoacoustic and Thermoacoustic Tomography: Image Formation Principles ....................................... 781 Кun Wang, Mark A. Anastasio 19 Mathematics of Photoacoustic and Thermoacoustic Tomography ................................................. 817 Peter Kuchment, Leonid Kunyansky 20 Wave Phenomena ............................................. 867 Matti Lassas, Mikko Salo, Gunther Uhlmann Volume 3 Image Restoration and Analysis 21 Statistical Methods in Imaging ............................. 913 Daniela Calvetti, Erkki Somersalo 22 Supervised Learning by Support Vector Machines ............. 959 Gabriele Steidl 23 Total Variation in Imaging ................................ 1015 V. Caselles, A. Chambolle, M. Novaga 24 Numerical Methods and Applications in Total Variation Image Restoration .............. .......................... 1059 Raymond Chan, Tony Chan, Andy Yip 25 Mumford and Shah Model and its Applications to Image Segmentation and Image Restoration ........................ 1095 Leah Bar, Tony F. Chan, Ginmo Chung, Miyoun Jung, Nahum Kiryati, Rami Mohieddine, Nir Sochen, Luminita A. Vese 26 Local Smoothing Neighborhood Filters ...................... 1159 Jean-Michel Morel, Antoni Buades, Tomeu Coll 27 Neighborhood Filters and the Recovery of 3D Information ... 1203 Julie Digne, Marietta Dimiccoli, Philippe Salembier, Neus Sabater 28 Splines and Multiresolution Analysis ...................... 1231 Brigitte Forster 29 Gabor Analysis for Imaging ................................ 1271 Ole Christensen, Hans G. Feichtinger, Stephan Paukner 30 Shape Spaces .............................................. 1309 Alain Trouvé, Laurent Younes 31 Variational Methods in Shape Analysis ..................... 1363 Martin Rumpf, Benedikt Wirth 32 Manifold Intrinsic Similarity ............................. 1403 Alexander M. Bronstein, Michael M. Bronstein 33 Image Segmentation with Shape Priors: Explicit Versus Implicit Representations .................................. 1453 Daniel Cremers 34 Starlet Transform in Astronomical Data Processing ......... 1489 Jean-Luc Starck, Fionn Murtagh, Mario Bertero 35 Differential Methods for Multi-Dimensional Visual Data Analysis .................................................. 1533 Werner Benger, René Heinzl, Dietmar Hildenbrand, Tino Weinkauf, Holger Theisel, David Tschumperlé Index ........................................................ 1597