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書名 Handbook of mathematical methods in imaging / edited by Otmar Scherzer
出版項 New York, NY : Springer New York : Imprint: Springer, 2015
國際標準書號 9781493907908 (electronic bk.)
9781493907892 (paper)
國際標準號碼 10.1007/978-1-4939-0790-8 doi
book jacket
版本 Second edition
說明 1 online resource (xviii, 2178 pages) : illustrations, digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
附註 Linear Inverse Problems -- Large-Scale Inverse Problems in Imaging -- Regularization Methods for Ill-Posed Problems -- Distance Measures and Applications to Multi-Modal Variational Imaging -- Energy Minimization Methods -- Compressive Sensing -- Duality and Convex Programming -- EM Algorithms -- Iterative Solution Methods -- Level Set Methods for Structural Inversion and Image Reconstructions -- Expansion Methods -- Sampling Methods -- Inverse Scattering -- Electrical Impedance Tomography -- Synthetic Aperture Radar Imaging -- Tomography -- Optical Imaging -- Photoacoustic and Thermoacoustic Tomography: Image Formation Principles -- Mathematics of Photoacoustic and Thermoacoustic Tomography -- Wave Phenomena -- Statistical Methods in Imaging -- Supervised Learning by Support Vector Machines -- Total Variation in Imaging -- Numerical Methods and Applications in Total Variation Image Restoration -- Mumford and Shah Model and its Applications in Total Variation Image Restoration -- Local Smoothing Neighbourhood Filters -- Neighbourhood Filters and the Recovery of 3D Information -- Splines and Multiresolution Analysis -- Gabor Analysis for Imaging -- Shaper Spaces -- Variational Methods in Shape Analysis -- Manifold Intrinsic Similarity -- Image Segmentation with Shape Priors: Explicit Versus Implicit Representations -- Starlet Transform in Astronomical Data Processing -- Differential Methods for Multi-Dimensional Visual Data Analysis -- Wave fronts in Imaging, Quinto -- Ultrasound Tomography, Natterer -- Optical Flow, Schnoerr -- Morphology, Petros -- Maragos -- PDEs, Weickert. - Registration, Modersitzki -- Discrete Geometry in Imaging, Bobenko, Pottmann -- Visualization, Hege -- Fast Marching and Level Sets, Osher -- Couple Physics Imaging, Arridge -- Imaging in Random Media, Borcea -- Conformal Methods, Gu -- Texture, Peyre -- Graph Cuts, Darbon -- Imaging in Physics with Fourier Transform (i.e.Phase Retrieval e.g Dark field imaging), J. R. Fienup -- Electron Microscopy, Oktem Ozan -- Mathematical Imaging OCT (this is also FFT based), Mark E. Brezinski -- Spect, PET, Faukas, Louis
The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. This expanded and revised second edition contains updates to existing chapters and 16 additional entries on important mathematical methods such as graph cuts, morphology, discrete geometry, PDEs, conformal methods, to name a few. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 200 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and computer scientists working in imaging will also find this handbook useful
Host Item Springer eBooks
主題 Diagnostic imaging -- Mathematical models
Image processing -- Digital techniques -- Mathematical models
Imaging systems in medicine -- Mathematical models
Mathematics
Mathematical Applications in Computer Science
Image Processing and Computer Vision
Signal, Image and Speech Processing
Numerical Analysis
Imaging / Radiology
Alt Author Scherzer, Otmar, editor
SpringerLink (Online service)
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