Riemannian Color Difference Metric for Spatial Color Gratings

Abstract

We developed a new Riemannian color difference metric for static spatial sinusoidal color variations. With this metric, one can predict, in any direction of the color space, the detection threshold of sinusoidal color variations. The metric includes the angular size, spatial frequency, luminance, and chromaticity of the grating. The metric is based on the Riemannian color difference metric for split fields that we developed earlier and models for contrast sensitivity functions of the isolated achromatic, red–green, and blue–yellow detection mechanisms. We validated the models of the contrast sensitivity functions against various datasets. The color difference metric was validated against datasets of isoluminous chromatic Gabor gratings at various spatial frequencies and various color centers. We found adequate agreement with these datasets. The results are presented in the CIELAB $(a^{\ast },b^{\ast })$ plane.