From Gestalt Theory to Image Analysis
A Probabilistic Approach
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ISBN-13:
9781441924810
Veröffentl:
2010
Einband:
Paperback
Erscheinungsdatum:
25.11.2010
Seiten:
288
Autor:
Agnès Desolneux
Gewicht:
441 g
Format:
235x155x16 mm
Serie:
34, Interdisciplinary Applied Mathematics
Sprache:
Englisch
Beschreibung:
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.
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