von Kries Hypothesis

Synonyms

Adaptive gains; Coeflcient rule; Color adaptation; Ives transform; von Kries-Ives adaptation

Related Concepts

• White Balance

Definition

The von Kries hypothesis as applied to chromatic adaptation is an approach that is the basis of most modern color adaptation models. It was first hypothesized by Johannes von Kries in 1902 [3]. The approach requires one to apply a gain to each of the cone responses, independently, so as to keep the adapted appearance of a reference white constant.

Theory

In general terms, let us denote the three cone responses in the human retina as L, M, S, and let the spectral sensitivities of the cones be denoted by l(λ), m(λ), and s(λ). Then for any given stimulus i _r(λ) that is incident on the retina, the cone responses are assumed to be given by:

$$\displaystyle \begin{aligned} \begin{array}{rcl} L &=& k\int_{\lambda} \bar{l}(\lambda) i_r(\lambda) d\lambda \\ M &=& k\int_{\lambda} \bar{m}(\lambda) i_r(\lambda) d\lambda \\ S &=& k\int_{\lambda}...