pigmented colorants: dependence on media and time - Cornell ...

and j has a saturation of red rsat, such that
where
rsat = rmaxSat
rmaxSat is red with the maximum saturation
∆Ei,j
∆Emax
∆Ei,j is the Euclidean distance between colors i and j in L ∗ a ∗ b ∗ space
∆Emax is the Euclidean distance between the most dissimilar colors in L ∗ a ∗ b ∗
176
(6.1)
Hence, all of the distances are scaled by the largest distance. The more dissimilar
colors will have a more vivid red line, while the more alike colors will have paler
line colors.
Ultimately, the images show a vast amount of data in a very concise setting.
The resulting conclusion from this information is that the material that adheres the
pigment to the support has a great influence on the resulting color, inciting differ-
ences in the multi-dimensional space of hue, value and chroma. The differences are
many times that of the threshold of the human observer and easily perceptible from
many sources. This includes viewing either the spectral data, coordinates from any
of the converted color spaces or even direct observation from photographs. More
examples of this behavior for different pigment-time combinations can be seen in
Appendix B.
6.1.2 Effect of time
In order to study the effect of time on a paint solution, the specific pigment and
media are held constant. This allows for comparison of the sample’s different stages
as time evolves. In our experiment, there are six time intervals, each with its