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Bayesian selection of the neighbourhood order for Gauss-Markov texture models

Stan, Sorel and Palubinskas, Gintautas and Datcu, Mihai (2002) Bayesian selection of the neighbourhood order for Gauss-Markov texture models. Pattern Recognition Letters, 23 (10), pp. 1229-1238.

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Abstract

Gauss-Markov random fields have been successfully used as texture models in a host of applications, ranging from synthesis, feature extraction, classification and segmentation to query by image content and information retrieval in large image databases. An issue that deserves special consideration is the selection of the neighbourhood order (model complexity), which should faithfully reflect the Markovianity of spatial interactions. Estimating the parameters for the wrong model will not capture the essential statistical properties of the texture in question: a lower order model will not be informative enough, while a higher order will clutter the description with superfluous information, fitting the noise rather than the data. We give a full Bayesian solution for estimating the model complexity, using an appropriate set of prior probabilities on the parameters. The closed-form decision criterion is derived by employing a Gaussian approximation of the posterior probability around the mode. The validity and benefits of this approach are demonstrated on two important problems arising in machine vision: texture replication and image classification.

Document Type:Article
Additional Information: LIDO-Berichtsjahr=2002,
Title:Bayesian selection of the neighbourhood order for Gauss-Markov texture models
Authors:
AuthorsInstitution or Email of Authors
Stan, SorelUNSPECIFIED
Palubinskas, GintautasUNSPECIFIED
Datcu, MihaiUNSPECIFIED
Date:2002
Journal or Publication Title:Pattern Recognition Letters
Refereed publication:Yes
In ISI Web of Science:Yes
Volume:23
Page Range:pp. 1229-1238
Status:Published
Keywords:Bayesian model selection, Gauss-Markov random fields, neighbourhood order, texture synthesis, classification
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W EO - Erdbeobachtung
DLR - Research area:Space
DLR - Program:W EO - Erdbeobachtung
DLR - Research theme (Project):UNSPECIFIED
Location: Oberpfaffenhofen
Institutes and Institutions:Remote Sensing Technology Institute
Deposited By: Cornelia Roehl
Deposited On:17 Feb 2006
Last Modified:06 Jan 2010 22:09

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