Mathematical methods in signal processing and digital image analysis

Rainer Dahlhaus, Jürgen Kurths, Peter Maass, Jens Timmer3540756310, 9783540756316

The aim of this volume is to bring together research directions in theoretical signal and imaging processing developed rather independently in electrical engineering, theoretical physics, mathematics and the computer sciences.

In particular, mathematically justified algorithms and methods, the mathematical analysis of these algorithms, and methods as well as the investigation of connections between methods from time series analysis and image processing are reviewed. An interdisciplinary comparison of these methods, drawing upon common sets of test problems from medicine and geophysical/environmental sciences, is also addressed.

This volume coherently summarizes work carried out in the field of theoretical signal and image processing. It focuses on non-linear and non-parametric models for time series as well as on adaptive methods in image processing.

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Table of contents :
front-matter……Page 1
01Multivariate Time Series Analysis……Page 14
02Surrogate Data – A Qualitative and Quantitative Analysis……Page 54
03Multiscale Approximation……Page 88
04Inverse Problems and Parameter Identification in Image Processing……Page 123
05Analysis of Bivariate Coupling by Means of Recurrence……Page 164
06Structural Adaptive Smoothing Procedures……Page 194
07Local Adaptive Estimation of Complex Motion and Orientation Patterns……Page 241
back-matter……Page 299