Patent Document ID: 7889402
Application ID: 11692566
Patent Status: 1

Claim One:
1. In a color rendering system, a method for limiting total colorant coverage using multidimensional simplicial subdivision and barycentric interpolation comprising: defining an n-channel colorant space without colorant limitation that may be represented as a first n-dimensional hypercube; applying a total area coverage (TAC) constraint to the n-channel colorant space to define a legal colorant space, wherein the TAC constraint may be represented as an (n−1)-dimensional hyperplane and the legal colorant space may be represented as an irregular polytope; and applying a bijective transformation between the legal colorant space and a nominal colorant space that may be represented as filling a second n-dimensional hypercube, the bijective transformation being constructed by: dividing the nominal colorant space into n-dimensional simplexes; finding, for each simplex, intersection points between the TAC constraint (n−1)-dimensional hyperplane and the edges of the simplex; and mapping each simplex of the nominal colorant space onto a corresponding n-dimensional simplex within the legal colorant space using a barycentric interpolation technique.