The non-Riemannian nature of perceptual color space

Bujack, Roxana; Teti, Emily; Miller, Jonah; Caffrey, Elektra; Turton, Terece L.

doi:10.1073/pnas.2119753119

The non-Riemannian nature of perceptual color space

Journal Article · Fri Apr 29 00:00:00 EDT 2022 · Proceedings of the National Academy of Sciences of the United States of America

DOI:https://doi.org/10.1073/pnas.2119753119· OSTI ID:1866020

^[1]; Teti, Emily ^[2]; Miller, Jonah ^[1]; Caffrey, Elektra ^[3]; ^[1]

Computer, Computational, and Statistical Sciences Division, Los Alamos National Laboratory, Los Alamos, NM 87545
Computer, Computational, and Statistical Sciences Division, Los Alamos National Laboratory, Los Alamos, NM 87545, Department of Psychology, Florida Atlantic University, Boca Raton, FL 33431, and
Computer, Computational, and Statistical Sciences Division, Los Alamos National Laboratory, Los Alamos, NM 87545, Department of Computer Science, University of New Mexico, Albuquerque, NM 87106

Significance

For over 100 y, the scientific community has adhered to a paradigm, introduced by Riemann and furthered by Helmholtz and Schrodinger, where perceptual color space is a three-dimensional Riemannian space. This implies that the distance between two colors is the length of the shortest path that connects them. We show that a Riemannian metric overestimates the perception of large color differences because large color differences are perceived as less than the sum of small differences. This effect, called diminishing returns, cannot exist in a Riemannian geometry. Consequently, we need to adapt how we model color differences, as the current standard, $Δ E$ , recognized by the International Commission for Weights and Measures, does not account for diminishing returns in color difference perception.

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Sponsoring Organization:: USDOE

OSTI ID:: 1866020

Journal Information:: Proceedings of the National Academy of Sciences of the United States of America, Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Issue: 18 Vol. 119; ISSN 0027-8424

Publisher:: Proceedings of the National Academy of SciencesCopyright Statement

Country of Publication:: United States

Language:: English

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