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Shape from periodic texture using the eigenvectors of local affine distortion

Ribeiro, E. and Hancock, E.R. (orcid.org/0000-0003-4496-2028) (2001) Shape from periodic texture using the eigenvectors of local affine distortion. IEEE Transactions on Pattern Analysis and Machine Intelligence. pp. 1459-1465. ISSN 0162-8828

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This paper shows how the local slant and tilt angles of regularly textured curved surfaces can be estimated directly, without the need for iterative numerical optimization, We work in the frequency domain and measure texture distortion using the affine distortion of the pattern of spectral peaks. The key theoretical contribution is to show that the directions of the eigenvectors of the affine distortion matrices can be used to estimate local slant and tilt angles of tangent planes to curved surfaces. In particular, the leading eigenvector points in the tilt direction. Although not as geometrically transparent, the direction of the second eigenvector can be used to estimate the slant direction. The required affine distortion matrices are computed using the correspondences between spectral peaks, established on the basis of their energy ordering. We apply the method to a variety of real-world and synthetic imagery.

Item Type: Article
Copyright, Publisher and Additional Information: Copyright © 2001 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Keywords: shape-from-texture,spectral analysis,affine distortion,eigen-analysis,SURFACE ORIENTATION,MOMENTS
Institution: The University of York
Academic Units: The University of York > Computer Science (York)
Depositing User: Repository Officer
Date Deposited: 21 Feb 2007
Last Modified: 10 Apr 2016 10:40
Published Version: http://dx.doi.org/10.1109/34.977570
Status: Published
Refereed: Yes
URI: http://eprints.whiterose.ac.uk/id/eprint/1991

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