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© 2008

From Gestalt Theory to Image Analysis

A Probabilistic Approach

  • Over 130 illustrations throughout the text

  • Detailed exercises at the end of each chapter

  • Large number of examples, of specific images on which the theory is tested are included

Textbook

Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 34)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Pages 1-9
  3. Pages 11-30
  4. Pages 115-131
  5. Pages 133-151
  6. Pages 153-176
  7. Pages 191-202
  8. Pages 203-226
  9. Back Matter
    Pages 261-269

About this book

Introduction

This book introduces the reader to a recent theory in Computer Vision yielding elementary techniques to analyse digital images. These techniques are inspired from and are a mathematical formalization of the Gestalt theory. Gestalt theory, which had never been formalized is a rigorous realm of vision psychology developped between 1923 and 1975.

From the mathematical viewpoint the closest field to it is stochastic geometry, involving basic probability and statistics, in the context of image analysis.

 The book is intended for a multidisciplinary audience of researchers and engineers. It is self contained in three aspects: mathematics, vision and algorithms, and requires only a background of elementary calculus and probability. A large number of illustrations, exercises and examples are included. The authors maintain a public software, MegaWave, containing implementations of most of the image analysis techniques developed in the book.

Keywords

Alignment Analysis Computer Vision Maxima computer image analysis linear optimization statistics

Authors and affiliations

  1. 1.Université Paris Descartes MAP5 (CNRS UMR 8145)Paris cedex 06France
  2. 2.Ecole Normale Supérieure de CachanCMLAMoscowFrance

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Reviews

From the reviews:

"This book tells the story of how to construct objects form images, in a way closely related to human perception. ... contains many illustrations and images that are analyzed, from various fields of applied science. ... References in the end, however, are helpful for further reading. ... To summarize, the book is a fine and timely introduction to a fascinating field of science. I can certainly recommend its reading to anyone dealing in a probabilistic sense with images ... ." (A. Stein, Kwantitatieve Methoden, Issue R09, 2008)

“This book is focused on Gestalt theory and image processing using probabilistic approaches. … carefully written with exercise problems in each chapter and can be used directly as a textbook on the topic. … This book is clearly written and relatively easy to read. The topics and directions are well thought out and can be used as a textbook for a graduate-level course on the topic. It is an interesting book on Gestalt theory and a good introduction to the meaningful events and related topics.” (Sung Ha Kang, SIAM Review, Vol. 52 (2), 2010)