1. A method for determining a high dimension color printer model output, the method comprising: maintaining a first N+1 dimension color model for a first N+1 color dimensions and a second N+1 dimension color model for a second N+1 color dimensions, the first N+1 color dimensions and the second N+1 color dimensions each comprising N common color dimensions and, respectively, a first additional color dimension and a second additional color dimension being different from and representing a complementary color of a color represented by the first additional color dimension; maintaining a low resolution higher dimension color model for at least N+2 dimensions comprising the first additional color dimension, the second additional color dimension, and the N common color dimensions, wherein the low resolution higher dimension color model has fewer calibrated data nodes for substantially fewer input values per dimension than the first N+1 dimension color model and the second N+1 dimension color model; accepting a higher dimension color model input comprising at least N+2 values corresponding to a first additional color dimension value, a second additional color dimension value, and N common color dimensions values; determining, based upon data stored in the low resolution higher dimension color model, a first intermediate output and a second intermediate output; determining a first N+1 dimension color model output and a second N+1 dimension color model output corresponding to the N common color dimension values and, respectively, to the first additional color dimension value and the second additional color dimension value using, respectively, the first N+1 dimension color model and the second N+1 dimension color model; interpolating a first estimated output and a second estimated output corresponding, respectively, to an output proportionately between, based upon the second additional color dimension value, the first intermediate output and the second N+1 dimension color model output, and a value proportionately between, based upon the first additional color dimension value, the second N+2 dimensional intermediate output and the first N+1 dimension color model output; combining, into a higher dimension color model output, the first estimated output and the second estimated output in respective proportion to the first additional color dimension value and the second additional color dimension value; and outputting the higher dimension color model output.