Lie Methods for Color Robot Vision
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
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.
Color Spectra, lorentz group, color vision signal processing
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-10438DOI: 10.1017/S0263574707003906ISI: 000258437700004OAI: oai:DiVA.org:liu-10438DiVA: diva2:17178
Original publication: R. Lenz, Lie Methods for Color Robot Vision, 2007, Robotica, (26), 453-464 http://dx.doi.org/10.1017/S0263574707003906. Copyright: Cambridge University Press, http://journals.cambridge.org/2007-12-132007-12-132016-08-31Bibliographically approved