Handbook of Mathematical Methods in Imaging

Scherzer, Otmar

Handbook of Mathematical Methods in Imaging

Edited by Otmar Scherzer ()

Date: 2015
Edition: 2nd ed. 2015
ISBN: 978-1-4939-0790-8
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Chapters in this book:

Linear Inverse Problems: Charles Groetsch
Large-Scale Inverse Problems in Imaging: Julianne Chung, Sarah Knepper and James G. Nagy
Regularization Methods for Ill-Posed Problems: Jin Cheng and Bernd Hofmann
Distance Measures and Applications to Multimodal Variational Imaging: Christiane Pöschl and Otmar Scherzer
Energy Minimization Methods: Mila Nikolova
Compressive Sensing: Massimo Fornasier and Holger Rauhut
Duality and Convex Programming: Jonathan M. Borwein and D. Russell Luke
EM Algorithms: Charles Byrne and Paul P. B. Eggermont
EM Algorithms from a Non-stochastic Perspective: Charles Byrne
Iterative Solution Methods: Martin Burger, Barbara Kaltenbacher and Andreas Neubauer
Level Set Methods for Structural Inversion and Image Reconstruction: Oliver Dorn and Dominique Lesselier
Expansion Methods: Habib Ammari and Hyeonbae Kang
Sampling Methods: Martin Hanke-Bourgeois and Andreas Kirsch
Inverse Scattering: David Colton and Rainer Kress
Electrical Impedance Tomography: Andy Adler, Romina Gaburro and William Lionheart
Synthetic Aperture Radar Imaging: Margaret Cheney and Brett Borden
Tomography: Gabor T. Herman
Microlocal Analysis in Tomography: Venkateswaran P. Krishnan and Eric Todd Quinto
Mathematical Methods in PET and SPECT Imaging: Athanasios S. Fokas and George A. Kastis
Mathematics of Electron Tomography: Ozan Öktem
Optical Imaging: Simon R. Arridge, Jari P. Kaipio, Ville Kolehmainen and Tanja Tarvainen
Photoacoustic and Thermoacoustic Tomography: Image Formation Principles: Kun Wang and Mark A. Anastasio
Mathematics of Photoacoustic and Thermoacoustic Tomography: Peter Kuchment and Leonid Kunyansky
Mathematical Methods of Optical Coherence Tomography: Peter Elbau, Leonidas Mindrinos and Otmar Scherzer
Wave Phenomena: Matti Lassas, Mikko Salo and Gunther Uhlmann
Sonic Imaging: Frank Natterer
Imaging in Random Media: Liliana Borcea
Statistical Methods in Imaging: Daniela Calvetti and Erkki Somersalo
Supervised Learning by Support Vector Machines: Gabriele Steidl
Total Variation in Imaging: V. Caselles, A. Chambolle and M. Novaga
Numerical Methods and Applications in Total Variation Image Restoration: Raymond Chan, Tony F. Chan and Andy Yip
Mumford and Shah Model and Its Applications to Image Segmentation and Image Restoration: Leah Bar, Tony F. Chan, Ginmo Chung, Miyoun Jung, Luminita A. Vese, Nahum Kiryati and Nir Sochen
Local Smoothing Neighborhood Filters: Jean-Michel Morel, Antoni Buades and Tomeu Coll
Neighborhood Filters and the Recovery of 3D Information: Julie Digne, Mariella Dimiccoli, Neus Sabater and Philippe Salembier
Splines and Multiresolution Analysis: Brigitte Forster
Gabor Analysis for Imaging: Ole Christensen, Hans G. Feichtinger and Stephan Paukner
Shape Spaces: Alain Trouvé and Laurent Younes
Variational Methods in Shape Analysis: Martin Rumpf and Benedikt Wirth
Manifold Intrinsic Similarity: Alexander M. Bronstein and Michael M. Bronstein
Image Segmentation with Shape Priors: Explicit Versus Implicit Representations: Daniel Cremers
Optical Flow: Florian Becker, Stefania Petra and Christoph Schnörr
Non-linear Image Registration: Lars Ruthotto and Jan Modersitzki
Starlet Transform in Astronomical Data Processing: Jean-Luc Starck, Fionn Murtagh and Mario Bertero
Differential Methods for Multi-dimensional Visual Data Analysis: Werner Benger, René Heinzl, Dietmar Hildenbrand, Tino Weinkauf, Holger Theisel and David Tschumperlé

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DOI: 10.1007/978-1-4939-0790-8

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