From Gestalt Theory to Image Analysis

A Probabilistic Approach

Agnès Desolneux, Lionel Moisan, Jean-Michel Morel (Autoren)

Buch | Softcover

276 Seiten

2010 | Softcover reprint of hardcover 1st ed. 2008
Springer-Verlag New York Inc.
978-1-4419-2481-0 (ISBN)

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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.

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.

Erscheint lt. Verlag	25.11.2010
Reihe/Serie	Interdisciplinary Applied Mathematics ; 34
Zusatzinfo	130 Illustrations, black and white; XII, 276 p. 130 illus.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Grafik / Design ► Digitale Bildverarbeitung
	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Graphentheorie
	Technik ► Elektrotechnik / Energietechnik
ISBN-10	1-4419-2481-7 / 1441924817
ISBN-13	978-1-4419-2481-0 / 9781441924810
Zustand	Neuware