Gradation Surfaces as a Method for Multi-color Ink-Jet Printers Color Specifications Management

We offer 3D gradation surfaces as a further development of 3D gradation curves approach. The surfaces reflect the interaction between selected pair of colorants in CIE Lab space. The surfaces are strained on the gradation trajectories of selected colorants. They are considered in terms of 3D surfaces of differential geometry. Application of the method leads to increase the smoothness of the gradient in the pair. Geodesic lines of the surfaces are suggested to be gradation trajectories of binary colors impositions. In the work, we develop the approach and discuss mathematical methods of the surfaces’ description as well as geodesic lines’ estimation.