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    A multivariate distribution for sub-images

    Maybank, Stephen J. (2008) A multivariate distribution for sub-images. Proceedings of the Royal Society of London, Series A 465 (2103), pp. 983-1001. ISSN 0080-4630.

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    Abstract

    A new method for obtaining multivariate distributions for sub-images of natural images is described. The information in each sub-image is summarized by a measurement vector in a measurement space. The dimension of the measurement space is reduced by applying a random projection to the truncated output of the discrete cosine transforms of the sub-images. The measurement space is then reparametrized, such that a Gaussian distribution is a good model for the measurement vectors in the reparametrized space. An Ornstein–Uhlenbeck process, associated with the Gaussian distribution, is used to model the differences between measurement vectors obtained from matching sub-images. The probability of a false alarm and the probability of accepting a correct match are calculated. The accuracy of the resulting statistical model for matching sub-images is tested using images from the Middlebury stereo database with promising results. In particular, if the probability of accepting a correct match is relatively large, then there is good agreement between the calculated and the experimental probabilities of obtaining a unique match that is also a correct match.

    Metadata

    Item Type: Article
    Keyword(s) / Subject(s): compressive sensing, discrete cosine transform, image statistics, principal components analysis, random projection stereo matching
    School: Birkbeck Schools and Departments > School of Business, Economics & Informatics > Computer Science and Information Systems
    Depositing User: Administrator
    Date Deposited: 02 Feb 2011 12:27
    Last Modified: 17 Apr 2013 12:18
    URI: http://eprints.bbk.ac.uk/id/eprint/1882

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