Abstract
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.
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© 2000 Springer-Verlag Berlin Heidelberg
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Lenz, R. (2000). Lie-Theory and Dynamical Illumination Changes. In: Sommer, G., Zeevi, Y.Y. (eds) Algebraic Frames for the Perception-Action Cycle. AFPAC 2000. Lecture Notes in Computer Science, vol 1888. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10722492_16
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DOI: https://doi.org/10.1007/10722492_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41013-3
Online ISBN: 978-3-540-45260-7
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