Interdisciplinary Applied Mathematics

From Gestalt Theory to Image Analysis

A Probabilistic Approach

Authors: Desolneux, Agnès, Moisan, Lionel, Morel, Jean-Michel

  • Includes more than 130 illustrations throughout the text
  • Offers detailed exercises at the end of each chapter
  • Includes a large number of examples, with specific images on which the theory is tested are included
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eBook $44.99
price for USA (gross)
  • ISBN 978-0-387-74378-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.95
price for USA
  • ISBN 978-0-387-72635-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.95
price for USA
  • ISBN 978-1-4419-2481-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

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)


Table of contents (15 chapters)

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-0-387-74378-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.95
price for USA
  • ISBN 978-0-387-72635-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.95
price for USA
  • ISBN 978-1-4419-2481-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
From Gestalt Theory to Image Analysis
Book Subtitle
A Probabilistic Approach
Authors
Series Title
Interdisciplinary Applied Mathematics
Series Volume
34
Copyright
2008
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-74378-3
DOI
10.1007/978-0-387-74378-3
Hardcover ISBN
978-0-387-72635-9
Softcover ISBN
978-1-4419-2481-0
Series ISSN
0939-6047
Edition Number
1
Number of Pages
XII, 276
Number of Illustrations and Tables
130 b/w illustrations
Topics