What is disclosed is a method for profile LUT construction which uses a cost function to provide improvements to one or more image quality attributes present in printed images while imposing constraints in terms of color accuracy and spectral response to achieve a color match under various illuminants. Image quality attributes are selected. A reference profile is selected. For each node, candidate recipes are found which reproduce L*a*b* colors within a threshold em. Recipes are pruned to a subset containing recipes where a spectral difference between a predicted spectra corresponding to N color levels and a reference reflectance spectra corresponding to a spectra of a recipe produced by the reference profile, is less than a threshold. A cost function is computed and a recipe identified which minimizes the cost for this node. The process repeats for all nodes to produce a new profile LUT.