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＜E-Book＞
Handbook of Mathematical Methods in Imaging / edited by Otmar Scherzer

Edition	1st ed. 2011.
Publisher	New York, NY : Springer New York : Imprint: Springer
Year	2011
Language	English
Size	eReference : online resource
Authors	Scherzer, Otmar editor SpringerLink (Online service)
Subjects	LCSH:Mathematics LCSH:Computer vision LCSH:Signal processing LCSH:Numerical analysis LCSH:Radiology FREE:Applications of Mathematics FREE:Computer Vision FREE:Signal, Speech and Image Processing FREE:Numerical Analysis FREE:Radiology
Notes	Introduction -- Part 1: Inverse Problems -- Tomography -- MR DTI -- Hybrid Methods -- Nonlinear Inverse Problems -- EIT -- Scattering -- Sampling Methods -- Expansion Methods -- Regularization Methods for Ill-Posed Problems -- Iterative Solution Methods -- Wave Phenomena -- Seismic -- Radar -- Ultrasound -- Part 2: Signal and Image Processing -- Morphological Image Processing -- Learning, Classification, Data Mining -- Partial Differential Equations -- Variational Methods for Image Analysis -- Level Set Methods Including Fast Marching Methods -- Segmentation -- Registration, Optical Flow -- Duality and Convex Minimization -- Spline, Statistics -- Wavelets -- Fourier Analysis -- Compressed Sensing -- Geometry Processing -- Compression -- Computational Geometry -- Shape Spaces -- PDEs and Variational Methods on Manifold -- References -- Subject Index 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. 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 150 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 HTTP:URL=https://doi.org/10.1007/978-0-387-92920-0

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