liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
Structures in Spaces of RGB Histograms
Linköping University, Department of Science and Technology, Digital Media.ORCID iD: 0000-0001-7557-4904
2008 (English)Conference paper (Refereed)
Abstract [en]

We introduce the theory of group representations as a tool to investigate the structure of spaces related to RGB vectors. Our basic assumption is that for many sources of RGB vectors we can assume that the three channels R, G and B are interchangeable. This means that vectors (RGB) and their permutations such as (GRB) appear approximately with the same probability. We introduce the wide-sense-stationary processes as processes whose matrix of second-order moments commute with the permutations of the channels. For such processes the theory of group representations provides the tools to construct a coordinate transformation that block-diagonalizes the corresponding matrices of second-order moments. This coordinate transformation defines therefore a partial principal component analysis. We implemented the transform and investigated its properties with the help of two large databases together containing over one million images. We also introduce a new parametrization of the coefficient space and show that this parametrization can be used to provide information about the internal structure of the RGB histogram space. We also sketch a generalization taking into account the effect of the reducing the number of bins used.

Place, publisher, year, edition, pages
Aachen: Shaker Verlag , 2008. , 13-22 p.13-22 p.
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-43080Local ID: 71439ISBN: 978-3-8322-7578-5OAI: diva2:263937
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2016-08-31

Open Access in DiVA

No full text

Other links

Search in DiVA

By author/editor
Lenz, Reiner
By organisation
Digital Media
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 325 hits
ReferencesLink to record
Permanent link

Direct link