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Mathematical Methods in Time Series Analysis and Digital Image Processing

  • Book
  • © 2008

Overview

Editors:
  1. Rainer Dahlhaus

    1. Inst. Angewandte Mathematik, Universität Heidelberg, Heidelberg, Germany

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  2. Jürgen Kurths

    1. Inst. Physik, LS Theoretische Physik, Universität Potsdam, Potsdam, Germany

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  3. Peter Maass

    1. FB 3 Mathematik/Informatik Zentrum Technomathematik, Universität Bremen, Bremen, Germany

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  4. Jens Timmer

    1. Zentrum Datenanalyse, Universität Freiburg, Freiburg, Germany

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Part of the book series: Understanding Complex Systems (UCS)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-XIV
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  2. Multivariate Time Series Analysis

    • Björn Schelter, Rainer Dahlhaus, Lutz Leistritz, Wolfram Hesse, Bärbel Schack, Jürgen Kurths et al.
    Pages 1-40

  3. Surrogate Data — A Qualitative and Quantitative Analysis

    • Thomas Maiwald, Enno Mammen, Swagata Nandi, Jens Timmer
    Pages 41-74

  4. Multiscale Approximation

    • Stephan Dahlke, Peter Maass, Gerd Teschke, Karsten Koch, Dirk Lorenz, Stephan Müller et al.
    Pages 75-109

  5. Inverse Problems and Parameter Identification in Image Processing

    • Jens F. Acker, Benjamin Berkels, Kristian Bredies, Mamadou S. Diallo, Marc Droske, Christoph S. Garbe et al.
    Pages 111-151

  6. Analysis of Bivariate Coupling by Means of Recurrence

    • Christoph Bandt, Andreas Groth, Norbert Marwan, M. Carmen Romano, Marco Thiel, Michael Rosenblum et al.
    Pages 153-182

  7. Structural Adaptive Smoothing Procedures

    • Jürgen Franke, Rainer Dahlhaus, Jörg Polzehl, Vladimir Spokoiny, Gabriele Steidl, Joachim Weickert et al.
    Pages 183-229

  8. Nonlinear Analysis of Multi-Dimensional Signals: Local Adaptive Estimation of Complex Motion and Orientation Patterns

    • Christoph S. Garbe, Kai Krajsek, Pavel Pavlov, Björn Andres, Matthias Mühlich, Ingo Stuke et al.
    Pages 231-288

  9. Back Matter

    Pages 289-293
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Keywords

About this book

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.

Editors and Affiliations

  • Inst. Angewandte Mathematik, Universität Heidelberg, Heidelberg, Germany

    Rainer Dahlhaus

  • Inst. Physik, LS Theoretische Physik, Universität Potsdam, Potsdam, Germany

    Jürgen Kurths

  • FB 3 Mathematik/Informatik Zentrum Technomathematik, Universität Bremen, Bremen, Germany

    Peter Maass

  • Zentrum Datenanalyse, Universität Freiburg, Freiburg, Germany

    Jens Timmer

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