Transform Coding of RGB-Histograms
2009 (English)In: VISAPP 2009 - Proceedings of the Fourth International Conference on Computer Vision Theory and Applications, Setúbal: Institute for Systems and Technologies of Information, Control and Communication , 2009, , 117-124 p.117-124 p.Conference paper (Refereed)
In this paper we introduce the representation theory of the symmetric group S(3) as a tool to investigate thestructure of the space of RGB-histograms. We show that the theory reveals that typical histogram spaces arehighly structured and that these structures originate partly in group theoretically defined symmetries. Thealgorithms exploit this structure and constructs a PCA like decomposition without the need to construct correlationor covariance matrices and their eigenvectors. We implemented these algorithms and investigate theirproperties with the help of two real-world databases (one from an image provider and one from a image searchengine company) containing over one million images.
Place, publisher, year, edition, pages
Setúbal: Institute for Systems and Technologies of Information, Control and Communication , 2009. , 117-124 p.117-124 p.
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-44995DOI: 10.5220/0001653501170124Local ID: 79231ISBN: 978-989-8111-69-2OAI: oai:DiVA.org:liu-44995DiVA: diva2:265857
4th International Conference on Computer Vision Theory and Applications, VISAPP 2009; Lisboa; Portugal