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Lie-Theory and Dynamical Illumination Changes
Linköping University, Department of Science and Technology, Media and Information Technology. Linköping University, The Institute of Technology.ORCID iD: 0000-0001-7557-4904
2000 (English)In: Algebraic Frames for the Perception-Action Cycle: Second International Workshop, AFPAC 2000, Kiel, Germany, September 10-11, 2000. Proceedings / [ed] Gerald Sommer and Yehoshua Y. Zeevi, Springer Berlin/Heidelberg, 2000, Vol. 1888, 218-228 p.Chapter in book (Refereed)
Abstract [en]

The description of the relation between the one-parameter groups of a group and the differential operators in the Lie-algebra of the group is one of the major topics in Lie-theory. In this paper we use this framework to derive a partial differential equation which describes the relation between the time-change of the spectral characteristics of the illumination source and the change of the color pixels in an image. In the first part of the paper we introduce and justify the usage of conical coordinate systems in color space. In the second part we derive the differential equation describing the illumination change and in the last part we illustrate the algorithm with some simulation examples.

Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2000. Vol. 1888, 218-228 p.
Lecture Notes in Computer Science, ISSN 0302-9743 (print), 1611-3349 (online) ; 1888
, Lecture notes in computer science,, ISSN 0302-9743 ; 1888
Keyword [en]
group theoretical frames in robotics, vision and neurocomputing, non-linear metrics and linearization, Lie-theory, color vision, invariance
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-48938DOI: 10.1007/10722492_16ISBN: 3-540-41013-9ISBN: 978-3-540-41013-3ISBN: e-978-3-540-45260-7OAI: diva2:269834
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2016-08-31Bibliographically approved

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