Handbook of Mathematical Methods in Imaging

• Corporate Author: SpringerLink (Online service)
• Other Authors: Scherzer, Otmar (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2011.
• Subjects: Mathematics.; Radiology.; Image processing.; Applied mathematics.; Engineering mathematics.; Numerical analysis.; Applications of Mathematics.; Image Processing and Computer Vision.; Signal, Image and Speech Processing.; Numerical Analysis.; Imaging / Radiology.

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 t...

Table of Contents:

• 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.