APPARATUS AND METHOD FOR CALCULATING AMOUNT OF COLORANT, RENDERING SYSTEM, COLORANT AMOUNT CALCULATION PROGRAM, AND RECORDING MEDIUM

摘要

PROBLEM TO BE SOLVED: To appropriately limit total colorant used for color rendering. SOLUTION: Implementation of the present invention provides for transformation of a specified colorant in which the sum of the colorant components exceeds a total area coverage (TAC) limit to create a second (resultant) colorant in which the sum of the colorant components is within the limit. Using a bijective transformation, colorant sampling and other manipulations can be performed using a nominal hypercube space and the results can be compressed from the nominal space back to the actual colorant-limited space, simplifying manipulation of the colorant-limited polytope space. The unlimited colorant hypercube may be divided into simplexes. For each simplex, intersection points may be found between the TAC limit and the edges of the simplex. A barycentric interpolation technique may then be used to map the unlimited simplex onto a corresponding simplex within the colorant-limited polytope. COPYRIGHT: (C)2009,JPO&INPIT