| Rigid Motion Invariant Classification of 3D-Textures. | |
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MedLine Citation:
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PMID: 22287241 Owner: NLM Status: Publisher |
Abstract/OtherAbstract:
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This paper studies the problem of 3D-rigid motion invariant texture discrimination for discrete 3D-textures that are spatially homogeneous by modeling them as stationary Gaussian random fields. The latter property and our formulation of a 3D-rigid motion of a texture reduce the problem to the study of 3D-rotations of discrete textures. We formally develop the concept of 3D-texture rotations in the 3D-digital domain. We use this novel concept to define a distance between 3D-textures that remains invariant under all 3D-rigid motions of the texture. This concept of distance can be used for a monoscale or a multiscale 3D-rigid motions invariant testing of the statistical similarity of the 3D-textures. To compute the distance between any two rotations R1 and R2 of two given 3D-textures we use the Kullback-Leibler(KL) divergence between 3D-Gaussian Markov Random Fields (GMRF) fitted to the rotated texture data. Then, the 3D-rigid motion invariant texture distance is the integral average, with respect to the Haar measure of the group SO(3), of all of these divergences when rotations R1 and R2 vary throughout SO(3). We also present an algorithm enabling the computation of the proposed 3D-rigid motion invariant texture distance as well as rules for 3D-rigid motion invariant texture discrimination/classification and experimental results demonstrating the capabilities of the proposed 3D-rigid motion texture discrimination rules when applied in a multiscale setting, even on very general 3D-texture models. |
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Authors:
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S Jain; M Papadakis; S Upadhyay; R Azencott |
Publication Detail:
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Type: JOURNAL ARTICLE Date: 2012-1-27 |
Journal Detail:
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Title: IEEE transactions on image processing : a publication of the IEEE Signal Processing Society Volume: - ISSN: 1941-0042 ISO Abbreviation: - Publication Date: 2012 Jan |
Date Detail:
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Created Date: 2012-1-30 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 9886191 Medline TA: IEEE Trans Image Process Country: - |
Other Details:
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Languages: ENG Pagination: - Citation Subset: - |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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