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Geometry of color perception. Part 1: structures and metrics of a homogeneous color space

This is the first half of a two-part paper dealing with the geometry of color perception. Here we analyze in detail the seminal 1974 work by H.L. Resnikoff, who showed that there are only two possible geometric structures and Riemannian metrics on the perceived color space [Formula: see text] compat...

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Autor principal: Provenzi, Edoardo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7218045/
https://www.ncbi.nlm.nih.gov/pubmed/32399688
http://dx.doi.org/10.1186/s13408-020-00084-x
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author Provenzi, Edoardo
author_facet Provenzi, Edoardo
author_sort Provenzi, Edoardo
collection PubMed
description This is the first half of a two-part paper dealing with the geometry of color perception. Here we analyze in detail the seminal 1974 work by H.L. Resnikoff, who showed that there are only two possible geometric structures and Riemannian metrics on the perceived color space [Formula: see text] compatible with the set of Schrödinger’s axioms completed with the hypothesis of homogeneity. We recast Resnikoff’s model into a more modern colorimetric setting, provide a much simpler proof of the main result of the original paper, and motivate the need of psychophysical experiments to confute or confirm the linearity of background transformations, which act transitively on [Formula: see text] . Finally, we show that the Riemannian metrics singled out by Resnikoff through an axiom on invariance under background transformations are not compatible with the crispening effect, thus motivating the need of further research about perceptual color metrics.
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spelling pubmed-72180452020-05-15 Geometry of color perception. Part 1: structures and metrics of a homogeneous color space Provenzi, Edoardo J Math Neurosci Research This is the first half of a two-part paper dealing with the geometry of color perception. Here we analyze in detail the seminal 1974 work by H.L. Resnikoff, who showed that there are only two possible geometric structures and Riemannian metrics on the perceived color space [Formula: see text] compatible with the set of Schrödinger’s axioms completed with the hypothesis of homogeneity. We recast Resnikoff’s model into a more modern colorimetric setting, provide a much simpler proof of the main result of the original paper, and motivate the need of psychophysical experiments to confute or confirm the linearity of background transformations, which act transitively on [Formula: see text] . Finally, we show that the Riemannian metrics singled out by Resnikoff through an axiom on invariance under background transformations are not compatible with the crispening effect, thus motivating the need of further research about perceptual color metrics. Springer Berlin Heidelberg 2020-05-12 /pmc/articles/PMC7218045/ /pubmed/32399688 http://dx.doi.org/10.1186/s13408-020-00084-x Text en © The Author(s) 2020 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Research
Provenzi, Edoardo
Geometry of color perception. Part 1: structures and metrics of a homogeneous color space
title Geometry of color perception. Part 1: structures and metrics of a homogeneous color space
title_full Geometry of color perception. Part 1: structures and metrics of a homogeneous color space
title_fullStr Geometry of color perception. Part 1: structures and metrics of a homogeneous color space
title_full_unstemmed Geometry of color perception. Part 1: structures and metrics of a homogeneous color space
title_short Geometry of color perception. Part 1: structures and metrics of a homogeneous color space
title_sort geometry of color perception. part 1: structures and metrics of a homogeneous color space
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7218045/
https://www.ncbi.nlm.nih.gov/pubmed/32399688
http://dx.doi.org/10.1186/s13408-020-00084-x
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