From Gestalt Theory to Image Analysis A Probabilistic Approach /

• Main Authors: Desolneux, Agnés (Author), Moisan, Lionel (Author), Morel, Jean-Michel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2008.
• Series: Interdisciplinary Applied Mathematics, 34
• Subjects: Computer science.; Image processing.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Algorithms.; Mathematics.; Visualization.; Computer Science.; Image Processing and Computer Vision.; Partial Differential Equations.; Signal, Image and Speech Processing.; Applications of Mathematics.

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...

Table of Contents:

• 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.