1. A method for accurate and precise representation of color for at least one image, each image being represented by pixel values representing a plurality of color primaries, including the steps of: (a) measuring, or determining from previous measurements, spectral characteristics corresponding to at least one portion of at least one image displayed on a source display; (b) conveying, directly or after intermediate storage, to a presentation environment the color pixel values representing each such image plus the corresponding spectral characteristics of such image; and (c) transforming the color pixel values of each such image to generate a presentation image for display on a target presentation display in the presentation environment, wherein the target presentation display is not the source display by applying the corresponding spectral characteristics of such image to the color pixel values prior to display, wherein the color pixel values of each image represent at least a primary colors and transforming includes mapping the pixels of a primary colors to b spectral weights, where b equals at least a+1 and integrating the b spectral weights with c sets of m presentation weights and n perceptual weights measured in or determined from an environment in which the color image is displayed on a source display, where c equals no more than b−1 but is at least 3, resulting in c target presentation primaries and wherein a, b, c, m, and n are integers.