Patent ID: 6873432

Claim:
A method of representing a transformation from a domain to a co-domain for a color reproducing device by constructing a piecewise set of invertable, functional approximations of the transformation, comprising steps of: parameterizing the approximations; generating an initial set of parameters for the approximations; tessellating the domain and co-domain in accordance with the parameters for partitioning the domain and co-domain into corresponding sets of domain pieces and co-domain pieces; assigning predetermined transformation data to the corresponding sets of domain pieces and co-domain pieces and computing respective, functional approximations comprising an invertable parametric model for the transformation data for each of the corresponding sets; evaluating an accuracy of the respective approximations against a preselected objective representative of a desired accuracy of the transformation; adjusting selected ones of the parameters for moving the evaluated accuracy to the desired accuracy; and, selectively iterating said steps in accordance with the adjusted selected ones of the parameters until the evaluating satisfies a termination condition relative to the objective wherein the evaluated accuracy at least approximates the desired accuracy whereby the respective approximations cumulatively represent the transformation.