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The Kubelka-Munk Theory for Color Image Invariant Properties
Jan-Mark Geusebroek
Theo Gevers
Arnold W.M. Smeulders
  DOI :  10.2352/CGIV.2002.1.1.art00098  Published Online :  January 2002
Abstract

A fundamental problem in color image processing is the integration of the physical laws of light reflection into image processing results, the problem known as photometric invariance. The derivation of object properties from color images yields the extraction of geometric and photometric invariants from color images. Photometric invariance is to be derived from the physics of reflection. In this paper, we rehearse the results from radiative transfer theory to model the reflection and transmission of light in colored layers. We concentrate on the Kubelka-Munk theory for colored layers, which is posed as a general model for color image formation. The model is used for decades in the painting and printing industrie, and is proven to be valid for a wide range of materials. We relate the Kubelka-Munk theory to photometric models currently used in image processing. As a consequence, the wide range of materials for which Kubelka-Munk is proven valid may be inherited to algorithms based on newer models. Furthermore, photometric invariant properties proven for one model are, by using Kubelka-Munk, easily extended to related models.

Journal Title : Conference on Colour in Graphics, Imaging, and Vision
Publisher Name : Society of Imaging Science and Technology
Publisher Location : 7003 Kilworth Lane, Springfield, VA 22151, USA
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 DOI 10.2352/CGIV.2002.1.1.art00098
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Jan-Mark Geusebroek, Theo Gevers, Arnold W.M. Smeulders, "The Kubelka-Munk Theory for Color Image Invariant Properties"  in Proc. IS&T CGIV 2002 First European Conf. on Colour in Graphics, Imaging, and Vision,  2002,  pp 463 - 467,  https://doi.org/10.2352/CGIV.2002.1.1.art00098

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Copyright © Society for Imaging Science and Technology 2002
72010351
Conference on Colour in Graphics, Imaging, and Vision
conf colour graph imag vis
2158-6330
Society of Imaging Science and Technology
7003 Kilworth Lane, Springfield, VA 22151, USA
2158-6330(20020101)2002:1L.463;1-
cgiv_v2002n1/splitsection98.xml
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Articles
The Kubelka-Munk Theory for Color Image Invariant Properties
GeusebroekJan-Mark
GeversTheo
SmeuldersArnold W.M.
01012002
2002
1
463
467
2002
A fundamental problem in color image processing is the integration of the physical laws of light reflection into image processing results, the problem known as photometric invariance. The derivation of object properties from color images yields the extraction of geometric and photometric invariants from color images. Photometric invariance is to be derived from the physics of reflection. In this paper, we rehearse the results from radiative transfer theory to model the reflection and transmission of light in colored layers. We concentrate on the Kubelka-Munk theory for colored layers, which is posed as a general model for color image formation. The model is used for decades in the painting and printing industrie, and is proven to be valid for a wide range of materials. We relate the Kubelka-Munk theory to photometric models currently used in image processing. As a consequence, the wide range of materials for which Kubelka-Munk is proven valid may be inherited to algorithms based on newer models. Furthermore, photometric invariant properties proven for one model are, by using Kubelka-Munk, easily extended to related models.