TRANSFORM CODING OF RGB-HISTOGRAMS

Reiner Lenz, Pedro Latorre Carmona

2009

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.

Paper Citation

in Harvard Style

Lenz R. and Latorre Carmona P. (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

in Bibtex Style

@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},
}

in EndNote Style

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