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Estimation of illumination characteristics
Linköping University, Department of Science and Technology, Digital Media. Linköping University, The Institute of Technology.ORCID iD: 0000-0001-7557-4904
2001 (English)In: IEEE Transactions on Image Processing, ISSN 1057-7149, E-ISSN 1941-0042, Vol. 10, no 7, 1031-1038 p.Article in journal (Refereed) Published
Abstract [en]

The description of the relation between the one-parameter subgroups 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
2001. Vol. 10, no 7, 1031-1038 p.
Keyword [en]
Color vision, Invariance, Lie-theory, Linearization, Nonlinear metrics
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-47334DOI: 10.1109/83.931097OAI: oai:DiVA.org:liu-47334DiVA: diva2:268230
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2016-08-31

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Lenz, Reiner

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