In this article, the conditions required for convexity of chromaticity diagrams are discussed. We provide a general formulation of color matching functions that satisfy chromaticity diagram convexity. Using the general formulation, analyses related to shape of color matching functions are performed. The results of this research will contribute to a systematization of color matching functions from a theoretical view point.
Nobuhito Matsushiro, Noboru Ohta, "Explicit General Formulation of Color Matching Functions for Chromaticity Diagram Convexity and Its Application to Shape Structure Analysis" in Journal of Imaging Science and Technology, 2005, pp 47 - 53, https://doi.org/10.2352/J.ImagingSci.Technol.2005.49.1.art00007