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Authors: Reiner Lenz 1 and Pedro Latorre Carmona 2

Affiliations: 1 ITN, Sweden ; 2 Universidad Jaume I Campus del Riu Sec s/n, Spain

ISBN: 978-989-8111-69-2

Keyword(s): RGB-Histograms, Image Databases, Finite Groups, Harmonic Analysis.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Feature Extraction ; Features Extraction ; Image and Video Analysis ; Informatics in Control, Automation and Robotics ; Signal Processing, Sensors, Systems Modeling and Control ; Statistical Approach

Abstract: In this paper we introduce the representation theory of the symmetric group~$ SPG$ as a tool to investigate the structure of the space of $RGB$-histograms. We show that the theory reveals that typical histogram spaces are highly structured and that these structures originate partly in group theoretically defined symmetries. The algorithms exploit this structure and constructs a PCA like decomposition without the need to construct correlation or covariance matrices and their eigenvectors. We implemented these algorithms and investigate their properties with the help of two real-world databases (one from an image provider and one from a image search engine company) containing over one million images.

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Paper citation in several formats:
Lenz R.; Latorre Carmona P. and (2009). TRANSFORM CODING OF RGB-HISTOGRAMS.In Proceedings of the Fourth International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2009) ISBN 978-989-8111-69-2, pages 117-124. DOI: 10.5220/0001653501170124

@conference{visapp09,
author={Reiner Lenz and Pedro {Latorre Carmona}},
title={TRANSFORM CODING OF RGB-HISTOGRAMS},
booktitle={Proceedings of the Fourth International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2009)},
year={2009},
pages={117-124},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001653501170124},
isbn={978-989-8111-69-2},
}

TY - CONF

JO - Proceedings of the Fourth International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2009)
TI - TRANSFORM CODING OF RGB-HISTOGRAMS
SN - 978-989-8111-69-2
AU - Lenz, R.
AU - Latorre Carmona, P.
PY - 2009
SP - 117
EP - 124
DO - 10.5220/0001653501170124

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