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Authors: Lamia Ben Youssef and Faouzi Ghorbel

Affiliation: GRIFT, Lab. Cristal, ENSI, Tunisia

ISBN: 972-8865-40-6

ISSN: 2184-4321

Keyword(s): Representation theory, homogeneous space, generalized correlation, group-registration, similarities, projective transformations.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Image and Video Analysis ; Image Registration

Abstract: The general principle of a matching algorithm is to optimize a criterion that furnishes a measure of the similarity between two images for a given space of geometrical transformations. In this work, we propose a framework based on a similarity measure – the generalized correlation – built in a systematic way from the links between a features space and a group of transformations modeled by an action group. Using results from representation theory, we can extend the correlation function to any homogeneous space with a transitively acting group. When the generalized Fourier transform exists, the group-based correlation can be expressed in a spectral space and it becomes possible to implement fast algorithms for its computation. Two important examples in the field of image processing are then detailed: the similarity group (rotation and scaling) on gray-level shapes from 2D images and the 3D rigid motion group (rotation and translation) followed by a plan projection.

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Paper citation in several formats:
Ben Youssef, L. and Ghorbel, F. (2006). IMAGE “GROUP-REGISTRATION” BASED ON REPRESENTATION THEORY. In Proceedings of the First International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, ISBN 972-8865-40-6; ISSN 2184-4321, pages 317-322. DOI: 10.5220/0001373903170322

@conference{visapp06,
author={Lamia {Ben Youssef}. and Faouzi Ghorbel.},
title={IMAGE “GROUP-REGISTRATION” BASED ON REPRESENTATION THEORY},
booktitle={Proceedings of the First International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP,},
year={2006},
pages={317-322},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001373903170322},
isbn={972-8865-40-6},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the First International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP,
TI - IMAGE “GROUP-REGISTRATION” BASED ON REPRESENTATION THEORY
SN - 972-8865-40-6
IS - 2184-4321
AU - Ben Youssef, L.
AU - Ghorbel, F.
PY - 2006
SP - 317
EP - 322
DO - 10.5220/0001373903170322

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