Geometric Methods in Signal and Image Analysis

A comprehensive guide to modern geometric methods for signal and image analysis, from basic principles to state-of-the-art concepts and applications.

Hamid Krim (Author), Abdessamad Ben Hamza (Author)

9781107033900, Cambridge University Press

Hardback, published 18 June 2015

295 pages, 211 b/w illus. 3 tables 7 exercises
25.3 x 17.9 x 1.8 cm, 0.73 kg

This comprehensive guide offers a new approach for developing and implementing robust computational methodologies that uncover the key geometric and topological information from signals and images. With the help of detailed real-world examples and applications, readers will learn how to solve complex signal and image processing problems in fields ranging from remote sensing to medical imaging, bioinformatics, robotics, security, and defence. With an emphasis on intuitive and application-driven arguments, this text covers not only a range of methods in use today, but also introduces promising new developments for the future, bringing the reader up-to-date with the state of the art in signal and image analysis. Covering basic principles as well as advanced concepts and applications, and with examples and homework exercises, this is an invaluable resource for graduate students, researchers, and industry practitioners in a range of fields including signal and image processing, biomedical engineering, and computer graphics.

1. Introduction
2. Fundamentals of group theory
3. Vector spaces
4. Differential geometry of curves and surfaces
5. Geometric and differential topology of manifolds
6. Computational algebraic topology.

Subject Areas: Graphical & digital media applications [UG], Communications engineering / telecommunications [TJK], Electronics engineering [TJF], Engineering: general [TBC]