Color Perception: Opening up the Chromaticity Cone
Prashanth Alluvada

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.
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Taxonomy
TopicsColor Science and Applications · Visual perception and processing mechanisms · Color perception and design
