  Moving around in a 3D world, requires the visual system of a living
individual to rely on three channels of image recognition, which is done
through three types of retinal cones. Newton, Grasmann, Helmholz and
Schr$\ddot{o}$dinger laid down the basic assumptions needed to understand
colored vision. Such concepts were furthered by Resnikoff, who imagined the
space of perceived colors as a 3D homogeneous space.
  This article is concerned with perceived colors regarded as random objects on
a Resnikoff 3D homogeneous space model. Two applications to color
differentiation in machine vision are illustrated for the proposed statistical
methodology, applied to the Euclidean model for perceived colors.
