From Gestalt Theory to Image Analysis [electronic resource] : A Probabilistic Approach / by AgnȨs Desolneux, Lionel Moisan, Jean-Michel Morel.

Por: Desolneux, AgnȨs [author.]Colaborador(es): Moisan, Lionel [author.] | Morel, Jean-Michel [author.]Tipo de material: TextoTextoSeries Interdisciplinary Applied Mathematics, 34Editor: New York, NY : Springer New York, 2008Descripción: online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9780387743783Trabajos contenidos: SpringerLink (Online service)Tema(s): Mathematics | Computer vision | Differential equations, partial | Algorithms | Visualization | Mathematics | Partial Differential Equations | Signal, Image and Speech Processing | Image Processing and Computer Vision | Visualization | Applications of Mathematics | AlgorithmsFormatos físicos adicionales: Sin títuloClasificación CDD: 515.353 Clasificación LoC:QA370-380Recursos en línea: de clik aquí para ver el libro electrónico
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Springer eBooksResumen: 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.
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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.

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.

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