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
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