doi:10.1016/S0167-8655(02)00322-7
Copyright © 2002 Elsevier Science B.V. All rights reserved.
Color constancy from physical principles*1
References and further reading may be available for this article. To view references and further reading you must
purchase this article.
Jan-Mark Geusebroek
,
, Rein van den Boomgaard, Arnold W. M. Smeulders and Theo Gevers
Intelligent Sensory Information Systems, University of Amsterdam, Kruislaan 403, 1098 SJ, Amsterdam, The Netherlands
Available online 25 December 2002.
Abstract
A well known property of human vision, known as color constancy, is the ability to correct for color deviations caused by a difference in illumination. A common approach to investigate color constant behavior is by psychophysical experiments, regarding the human visual system as a black box responding to a well defined change in an laboratory setup.
A fundamental problem in psychophysical experiments is that significant conclusions are hard to draw due to the complex experimental environment necessary to examine color constancy. An alternative approach to reveal the mechanisms involved in color constancy is by modeling the physical process of spectral image formation. In this paper, we aim at a physical basis for color constancy rather than a psychophysical one.
By considering spatial and spectral derivatives of the Lambertian image formation model, object reflectance properties are derived independent of the spectral energy distribution of the illuminant. Gaussian spectral and spatial probes are used to estimate the proposed differential invariant. Knowledge about the spectral power distribution of the illuminant is not required for the proposed invariant.
The physical approach to color constancy offered in the paper confirms relational color constancy as a first step in color constant vision systems. Hence, low-level mechanisms such as color constant edge detection may play an important role in front-end vision. The research presented raises the question of whether the illuminant is estimated at all in pre-attentive vision.
Author Keywords: Color constancy; Photometric invariance; Scale-space; Differential invariants; Gaussian color model
Fig. 1. The problem of color constancy. The light emitted by the lamp is reflected by the (yellow) car, causing a color sensation in the brain of the observers. The physical composition of the reflected light depends on the color of the light source. However, this effect is compensated for by the visual system. Hence, regardless the color of the light source, we will see a yellow car. This light source compensation is not trivial to obtain with a color camera in an unconstrained scene.
Fig. 2. The CIE 1964 chromaticity diagram of the colors in the calibration grid used for the experiments, illuminated by average daylight D65.
Table 1. Results for the different colorimetric experiments with daylight illumination, ranging from 4000 to 10,000 K color temperature

Average percentage constancy Not-found and standard deviation for the proposed invariant N, the von Kries transform, and u′v′ difference.
Table 2. Results for the different colorimetric experiments with blackbody radiators from 2000 to 5000 K color temperature

Average percentage constancy Not-found and standard deviation for the proposed invariant N, the von Kries transform, and u′v′ difference.
Table 3. Results for the colorimetric experiments with representative fluorescent illuminants

Average percentage constancy Not-found and standard deviation for the proposed invariant N, the von Kries transform, and u′v′ difference.
Corresponding author
*1 This work is sponsored by Janssen Research Foundation, Beerse, Belgium.