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Mathematical Methods for Signal and Image Analysis and Representation

  • Luc Florack
  • Remco Duits
  • Geurt Jongbloed
  • Marie-Colette van Lieshout
  • Laurie Davies
Book

Part of the Computational Imaging and Vision book series (CIVI, volume 41)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Hanno Scharr, Kai Krajsek
    Pages 1-30
  3. Bernhard Burgeth, Luis Pizarro, Stephan Didas, Joachim Weickert
    Pages 49-63
  4. Yaniv Gur, Ofer Pasternak, Nir Sochen
    Pages 83-100
  5. Laurent Demaret, Armin Iske, Wahid Khachabi
    Pages 101-121
  6. Remco Duits, Hartmut Führ, Bart Janssen
    Pages 137-158
  7. Markus van Almsick
    Pages 173-191
  8. Yves Rozenholc, Markus Reiß
    Pages 207-219
  9. Michal Matuszak, Tomasz Schreiber
    Pages 261-274
  10. Jean-Michel Loubes, Paul Rochet
    Pages 275-290
  11. Back Matter
    Pages 291-317

About this book

Introduction

Mathematical Methods for Signal and Image Analysis and Representation presents the mathematical methodology for generic image analysis tasks. In the context of this book an image may be any m-dimensional empirical signal living on an n-dimensional smooth manifold (typically, but not necessarily, a subset of spacetime). The existing literature on image methodology is rather scattered and often limited to either a deterministic or a statistical point of view. In contrast, this book brings together these seemingly different points of view in order to stress their conceptual relations and formal analogies.

Furthermore, it does not focus on specific applications, although some are detailed for the sake of illustration, but on the methodological frameworks on which such applications are built, making it an ideal companion for those seeking a rigorous methodological basis for specific algorithms as well as for those interested in the fundamental methodology per se.

Covering many topics at the forefront of current research, including anisotropic diffusion filtering of tensor fields, this book will be of particular interest to graduate and postgraduate students and researchers in the fields of computer vision, medical imaging and visual perception.

Keywords

computer vision image analysis signal processing visual perception

Editors and affiliations

  • Luc Florack
    • 1
  • Remco Duits
    • 2
  • Geurt Jongbloed
    • 3
  • Marie-Colette van Lieshout
    • 4
  • Laurie Davies
    • 5
  1. 1.Dept. Mathematics & Computer ScienceEindhoven University of TechnologyEindhovenThe Netherlands
  2. 2.Dept. Mathematics & Computer ScienceEindhoven University of TechnologyEindhovenThe Netherlands
  3. 3.Dept. Applied MathematicsDelft University of TechnologyDelftThe Netherlands
  4. 4.Probability & Stochastic Networks (PNA)Centrum Wiskunde & InformaticaAmsterdamThe Netherlands
  5. 5.Fakultät für MathematikUniversität Duisburg-EssenEssenGermany

Bibliographic information

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