Color Perception: Opening up the Chromaticity Cone

TL;DR

This paper introduces a nonlinear transformation of the chromaticity cone in XYZ color space, creating a bijective mapping onto a plane that preserves color perception information, facilitating better visualization and analysis.

Contribution

It presents a novel bijective mapping from the chromaticity cone to a flat plane, opening new ways to visualize and analyze color perception data.

Findings

The transformation preserves color perception information.

The chromaticity cone can be represented as a chart on a plane.

Examples demonstrate the effectiveness of the mapping.

Abstract

In the XYZ color space, the subset of the tri-stimuli corresponding to spike-type (monochromatic) impingement of energy is the chromaticity cone, CC. Using a family of concentric spheres, we describe a nonlinear transformation over the CC and construct a bijection from the CC onto the flat plane. In the process, we open up the CC and view it as a chart on the plane. Because the map is a bijection, the color perception information is preserved (invariant) through the transformation. We discuss stereographic projection of the chromaticity chart and some examples.