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  • Format: PDF


This book introduces a new theory in Computer Vision yielding elementary techniques to analyze digital images. These techniques are a mathematical formalization of the Gestalt theory. 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 mathematically self-contained, needing only basic understanding of probability and calculus. The text includes more than 130 illustrations, and numerous examples based on specific images on which the theory is tested. Detailed exercises at the…mehr

Produktbeschreibung
This book introduces a new theory in Computer Vision yielding elementary techniques to analyze digital images. These techniques are a mathematical formalization of the Gestalt theory. 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 mathematically self-contained, needing only basic understanding of probability and calculus. The text includes more than 130 illustrations, and numerous examples based on specific images on which the theory is tested. Detailed exercises at the end of each chapter help the reader develop a firm understanding of the concepts imparted.


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  • Produktdetails
  • Verlag: Springer-Verlag GmbH
  • Seitenzahl: 276
  • Erscheinungstermin: 24. Dezember 2007
  • Englisch
  • ISBN-13: 9780387743783
  • Artikelnr.: 43730028
Autorenporträt
Agnès Desolneux, UFR Math-Info, Paris, France / Lionel Moisan, École Normale Supérieure Centre de Mathématiques et de leurs Applications, Cachan, France / Jean-Michel Morel, École Normale Supérieure Centre de Mathématiques et de leurs Applications, Cachan, France
Inhaltsangabe
Gestalt Theory.- The Helmholtz Principle.- Estimating the Binomial Tail.- Alignments in Digital Images.- Maximal Meaningfulness and the Exclusion Principle.- Modes of a Histogram.- Vanishing Points.- Contrasted Boundaries.- Variational or Meaningful Boundaries?.- Clusters.- Binocular Grouping.- A Psychophysical Study of the Helmholtz Principle.- Back to the Gestalt Programme.- Other Theories, Discussion.
Rezensionen
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)