Color characterization of an LC projection system using multiple-regression matrix and look-up-table with interpolation

Abstract

A forward model of an LC projector is studied to predict its colorimetric attribution. To identify color characteristics of the projector, 729 colors were measured in a dark room. The forward model was built using three methods: (I) a 3x11 multiple-polynomial regression matrix, (2) a 3-dimensional(3-D) look-up table(LUT) viith cubic interpolation, and (3) a one dimensional(I-D) LUT with linear interpolation. In addition, 216 colors were also measured to evaluate the prediction accuracy of the forward model. All methods can be used to obtain acceptable predictions of calorimetric attributions on the LC projector. When the 3x11 multiple-polynomial regression matrix was used, the average and maximum prediction differences were 2.18 and 6.68 Delta E-uv*, respectively. For the 3-D LUT method, those values were 3.3 and 16.4 Delta E-uv*, respectively. The results of the 1-D LUT are comparable with those of the 3-D LUT if die sampling points per channel of these two approaches are the same. If the sampling points per channel are dense enough, for example 16 points per channel, the performance of the I-D LUT is better than that of the 3x11 multiple-polynomial regression matrix.