A method of generating a color characterization model for an input imaging device includes capturing a target having plural patches using the input imaging device to produce plural digital values in a device-dependent color space, the plural digital values having corresponding target measurements in a color characterization set. The method further includes determining if any of the plural digital values are collinear with each other, and removing, in a case where it is determined that digital values are collinear with each other, at least one of the collinear digital values and corresponding target measurements from the color characterization data set. In addition, the method includes generating the color characterization model for the input imaging device based on the plural digital values and corresponding target measurements remaining in the color characterization set. An apparatus for generating a color characterization model for an input imaging device is also provided.