FIGURE 2. The experiment algorithm.
The algorithm used for the sequential quantized recalculation takes place since each of the components of the gradient surface of the color difference increment with respect to the unprinted substrate changes sign at least only once. In other words, the surface of color differences to the substrate color has no local maxima or minima.
For each point of the isoline, the sum of the color differences to the point corresponding to the initial (for instance, unprinted paper) and target points (for instance, full dye Cyan) is computed. Among all these sums corresponding to one p , the lowest value has been found. The recipe (m , n ) corresponding to this minimal sum at the isoline defines the recipe of the geodesic crossing this isoline. The complete set of points found in this way forms the desired geodesic. This line provides the shortest path from the paper point to the point of complete double overlap. This is the major result of the proposed algorithm.