Mixing Paint: An analysis of color value transformations in multiple coordinate spaces using multivariate linear regression

2024/04/01 by Alexander Messick, Messick, Alexander
Psychology · #Color perception and design #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Physical sciences #Optics (physics.optics)

paper · pdf · doi:10.48550/arxiv.2406.15364

openalex publication_date 2024/04/01 · openalex created_date 2024/06/26 · openalex updated_date 2026/07/28

Abstract

I explore the mathematical transformation that occurs in color coordinate space when physically mixing paints of two different colors. I tested 120 pairs of 16 paint colors and used a linear regression to find the most accurate combination of input parameters, both in RGB space and several other color spaces. I found that the fit with the strongest coefficient of determination was a geometrically symmetrized linear combination of the colors in CIEXYZ space, while this same mapping in RGB space returns a better mean squared error.

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