5. Conclusion
The work is aimed to create an approach to the ideal colorants
definition and calculation. We assume the existing of the relationship
between two device-dependent color spaces (CMYK and RGB) accounting the
color quantization in print (as for instance, in electrophotography).
This makes the systems to be able to precisely express primaries of
additive color synthesis (R, G, B) as binaries of subtractive color
synthesis colorants (C, M, Y). For this, the universal CIE Labcolor space is used in computations. The binary surface is defined as a
gradation surface of two colorants that is “stretched” on their
gradation trajectories.
An ideal colorant is such a combination (mixture) of the initial
colorants, which ensures the minimal fluctuations of color tone
(i.e. color difference) in a range from an unprinted substrate to
a full dye. The gradation trajectory of the ideal colorant is the
geodesic on the gradation surface of two adjacent initial colorants. The
trajectory satisfies the condition of the minimum possible color
difference between the color quanta that form it. A discrete
interpretation of the ideal colorant computation is proposed in terms of
gradation trajectories in the CIE Lab space together with the
color quanta as an expression of color quantization.
In the case of electrophotography, the practical implementation of the
ideal printed colorant will require a complete revision of the model of
subtractive color synthesis, which is hardly in the interests of
production. However, this question is extremely interesting from a
theoretical point of view. The case of inkjet printing, also, requires
particular consideration.