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

Direct link
Lie Methods for Color Robot Vision
Linköping University, Department of Science and Technology, Digital Media. Linköping University, The Institute of Technology.ORCID iD: 0000-0001-7557-4904
2008 (English)In: Robotica (Cambridge. Print), ISSN 0263-5747, E-ISSN 1469-8668, Vol. 26, no 04, 453-464 p.Article in journal (Refereed) Published
Abstract [en]

We describe how Lie-theoretical methods can be used to analyze color related problems in machine vision. The basic observation is that the non-negative nature of spectral color signals restricts these unctions to be members of a limited, conical section of the larger Hilbert space of square-integrable functions. From this observation we conclude that the space of color signals can be equipped with a coordinate system consisting of a half-axis and a unit ball with the Lorentz groups as natural trans-formation group. We introduce the theory of the Lorentz group SU(1; 1) as a natural tool for analyzing color image processing problems and derive some descriptions and algorithms that are useful in the investigation of dynamical color changes. We illustrate the usage of these results by describing how to use compress, interpolate, extrapolate and compensate image sequences generated by dynamical color changes.

Place, publisher, year, edition, pages
Cambridge, UK: Cambridge University Press, 2008. Vol. 26, no 04, 453-464 p.
Keyword [en]
Color Spectra, lorentz group, color vision signal processing
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-10438DOI: 10.1017/S0263574707003906ISI: 000258437700004OAI: diva2:17178

Original publication: R. Lenz, Lie Methods for Color Robot Vision, 2007, Robotica, (26), 453-464 Copyright: Cambridge University Press,

Available from: 2007-12-13 Created: 2007-12-13 Last updated: 2016-08-31Bibliographically approved

Open Access in DiVA

fulltext(6331 kB)791 downloads
File information
File name FULLTEXT01.pdfFile size 6331 kBChecksum SHA-1
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Lenz, Reiner
By organisation
Digital MediaThe Institute of Technology
In the same journal
Robotica (Cambridge. Print)
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
Total: 791 downloads
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

Altmetric score

Total: 273 hits
ReferencesLink to record
Permanent link

Direct link