Mathematical methods in time series analysis and digital image processing

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.

Bjorn Schelter and Rainer Dahlhaus and Lutz Leistritz and Wolfram Hesse and Barbel Schack and Jurgen Kurths and Jens Timmer and Herbert WitteThomas Maiwald and Enno Mammen and Swagata Nandi and Jens TimmerStephan Dahlke and Peter Maass and Gerd Teschke and Karsten Koch and Dirk Lorenz and Stephan Muller and Stefan Schiffler and Andreas Stampfli and Herbert Thiele and Manuel WernerJens F. Acker and Benjamin Berkels and Kristian Bredies and Mamadou S. Diallo and Marc Droske and Christoph S. Garbe and Matthias Holschneider and Jaroslav Hron and Claudia Kondermann and Michail Kulesh and Peter Maass and Nadine Olischlager and Heinz-Otto Peitgen and Tobias Preusser and Martin Rumpf and Karl Schaller and Frank Scherbaum and Stefan TurekChristoph Bandt and Andreas Groth and Norbert Marwan and M. Carmen Romano and Marco Thiel and Michael Rosenblum and Jurgen KurthsJurgen Franke and Rainer Dahlhaus and Jorg Polzehl and Vladimir Spokoiny and Gabriele Steidl and Joachim Weickert and Anatoly Berdychevski and Stephan Didas and Siana Halim and Pavel Mrazek and Suhasini Subba Rao and Joseph TadjuidjeChristoph S. Garbe and Kai Krajsek and Pavel Pavlov and Bjorn Andres and Matthias Muhlich and Ingo Stuke and Cicero Mota and Martin Bohme and Martin Haker and Tobias Schuchert and Hanno Scharr and Til Aach and Erhardt Barth and Rudolf Mester and Bernd Jahne

1 Multivariate Time Series Analysis	p. 1
2 Surrogate Data - A Qualitative and Quantitative Analysis	p. 41
3 Multiscale Approximation	p. 75
4 Inverse Problems and Parameter Identification in Image Processing	p. 111
5 Analysis of Bivariate Coupling by Means of Recurrence	p. 153
6 Structural Adaptive Smoothing Procedures	p. 183
7 Nonlinear Analysis of Multi-Dimensional Signals	p. 231
Index	p. 289

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