Proc Natl Acad Sci U S A May 2022 PMID 35486695

The non-Riemannian nature of perceptual color space.

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

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117

Peak: 29 in Aug 2022

across 7 sources since May 2022

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581,360

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14,352

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306,752

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May 2022 – Aug 2025

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AI synopsis

What people are saying

Several posts delve into the implications of the research, specifically around how traditional Riemannian models misrepresent color perception. For instance, one discussion highlighted that 'this is literally the most relevant piece of content I've ever been served,' which illustrates a strong connection to the material. Phrases like 'overturns 100-year-old understanding' and 'challenging perceptions' contribute to a tone of excitement and urgency about the relevance of the study, showcasing its potential to impact fields like technology and design.

AgreementModerate agreement

The majority of discussions reflect a positive reception of the publication, with many users expressing alignment with its findings.

InterestHigh interest

Many posts exhibited a high level of curiosity, illustrating that the topic resonated strongly with participants.

EngagementHigh engagement

Numerous participants went into detail about the implications and methodologies, showing a deep commitment to understanding the research.

ImpactHigh impact

Users believe the findings could significantly influence current understanding and applications related to color perception in various fields.

Abstract in brief

The perceived color space is not Euclidean, challenging the traditional Riemannian model of color perception that suggests large differences can be constructed from small increments.
This study highlights the principle of diminishing returns in color perception, indicating that large color differences cannot be simply derived from smaller ones.
The implications of this research could lead to a re-evaluation of color metrics used in various industries like image processing and textiles, suggesting the need for new models that better account for large color differences.

Read the full abstract

All mentions

Understanding the Geometry of Color Perception and its Implications

What are colors and their geometrical representation? This 20-minute video explores the non-Euclidean nature of color space, challenging traditional models and highlighting the principle of diminishing returns in color…

ScienceClic English · Jul 9, 2025 259,245 views

Non-Euclidean Perspectives on Color Perception

What are colors? They form a unique geometry based on our perceptions. This video explores the non-Riemannian nature of perceived color space, revealing that large color differences cannot be simply derived from smaller…

ScienceClic Español · Jul 11, 2025 47,507 views

Bibliolater

@bibliolater.qoto.org.ap.brid.gy · Bluesky

:youtube: **What's the "Geometry" of Colours?** #Video length: nineteen minutes and thirty-four seconds.

Aug 18, 2025 View post →

老人と文学社

@BunGaku_Yokota · X

May 8, 2025 · 7 likes · 2,026 followers View post →

scanstone

@scanstone1 · X

@eternalism_4eva Comes from https://t.co/m2DZe7xlZf.

Apr 19, 2025 · 1 like · 249 followers View post →

supervinculum

@Ergodicdictum · X

The non-Riemannian nature of perceptual color space Roxana Bujack

Mar 16, 2025 View post →

高橋泰城（たかはしたいき）

@tweet_taiki · X

Feb 23, 2025 · 6 likes · 10,144 followers View post →

norvid_studies

@norvid_studies · X

'The non-Riemannian nature of perceptual color space' https://t.co/QELobpnX0d

Feb 17, 2025 · 4 likes · 4,551 followers View post →

scanstone

@scanstone1 · X

@norvid_studies The recent manifold immersion theorem tweet I tagged you in was downstream of thinking about https://t.co/mSMA5znzsm Right now I'm not aware of any general framework/strong results for thinking about non-length metrics on manifolds, which would be useful for this problem

Sep 4, 2024 · 6 likes · 249 followers View post →

LEX

@shalindachaos99 · X

RT @josephreisinger: this is literally the most relevant piece of content i've ever been served https://t.co/tkY5kfRENL

Aug 5, 2024 · 4 shares · 340 followers View post →

Willem

@willem_74 · X

The non-Riemannian nature of perceptual color space (2022) via /r/hackernews https://t.co/kpvEXAOaHf

Aug 3, 2024 · 13,585 followers View post →

Kamil Sindi

@kamilsindi · X

>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. https://t.co/RyKjx81mGf

Aug 3, 2024 · 2 likes · 1,671 followers View post →

Hacker News Bot

@newsycombinator.bsky.social · Bluesky

The non-Riemannian nature of perceptual color space (2022) (pnas.org) Main Link | Discussion

Aug 3, 2024 View post →

Hacker News Bot

@newsycombinator.bsky.social · Bluesky

The non-Riemannian nature of perceptual color space (2022) (pnas.org) Main Link | Discussion

Aug 3, 2024 View post →

priya joseph

@ayirpelle · X

RT @josephreisinger: this is literally the most relevant piece of content i've ever been served https://t.co/tkY5kfRENL

Aug 3, 2024 · 4 shares · 4,943 followers View post →

(((JReuben1)))

@jreuben1 · X

The non-Riemannian nature of perceptual color space https://t.co/2ndHaxNect geodesic lengths do not even coincide with the distances between their endpoints

Aug 3, 2024 · 1,960 followers View post →

Vineet Tiruvadi, MD PhD

@vineettiruvadi · X

RT @josephreisinger: this is literally the most relevant piece of content i've ever been served https://t.co/tkY5kfRENL

Aug 2, 2024 · 4 shares · 883 followers View post →

David Pfau

@pfau · X

RT @josephreisinger: this is literally the most relevant piece of content i've ever been served https://t.co/tkY5kfRENL

Aug 2, 2024 · 4 shares · 30,056 followers View post →

‎＼＼\\(۶•̀ᴗ•́)۶//／／

@josephreisinger · X

this is literally the most relevant piece of content i've ever been served https://t.co/tkY5kfRENL

Aug 2, 2024 · 15 likes · 4 shares · 2,445 followers View post →

Hacker News Top Stories

@hackernewsbot.bsky.social · Bluesky

The non-Riemannian nature of perceptual color space (2022) Discussion

Aug 2, 2024 View post →

Winson Tang

@winsontang · X

The non-Riemannian nature of perceptual color space (2022) https://t.co/nXXz8jEnJL

Aug 2, 2024 · 9,040 followers View post →

Hacker News Top 100 Bot (Unofficial)

@hn100.bsky.social · Bluesky

The non-Riemannian nature of perceptual color space (2022) Discussion

Aug 2, 2024 View post →

老人と文学社

@BunGaku_Yokota · X

https://t.co/J70AQ7S5St むう、難しくてわからなかったけどおそらく重要な「知覚される色空間の非リーマン性」の提案。 https://t.co/o0dOzHveTk 色差式CIE DE2000では、知覚による非リーマン性を、重みのある補正項目として導入されているみたいですね。わかりやすいリンクありました。

May 14, 2024 · 6 likes · 2,026 followers View post →

신유림

@laurinnie · X

RT @schulzb589: @JohannesKleiner Good stuff. One note about color spaces: https://t.co/yxNpVozswZ

Mar 7, 2024 · 1 share · 29 followers View post →

Ben Schulz

@schulzb589 · X

@JohannesKleiner Good stuff. One note about color spaces: https://t.co/yxNpVozswZ

Feb 28, 2024 · 37 likes · 1 share · 1,802 followers View post →

とある高専卒業生

@subarusatosi · X

@phykm 色空間はリーマン空間ではないという話もありますね： https://t.co/mT1155EI24 色空間がリーマン空間というのはシュレーディンガー(1920)あたりに始まるようです？ https://t.co/grStZJM7aT

Aug 14, 2023 · 1 like · 12,667 followers View post →

高橋泰城（たかはしたいき）

@tweet_taiki · X

@gongonKS 関係ありそうですね！「色覚空間は非リーマン、自由エネルギーのヘルムホルツや量子力学のシュレーディンガーのモデルは間違い」 For over 100 y, the scientific community has adhered to a paradigm, introduced by Riemann and furthered by Helmholtz and Schrodinger https://t.co/lH5mE0zwPv

Jun 21, 2023 · 10,144 followers View post →

@︎№#ident

@no_identd · X

@LibbThims Technically also gotta take https://t.co/JCsgbs3G4S [which applies not just to light for obvious reasons] as well as https://t.co/GgHJ4frzjL into account. *shakes fist at Helmholtz* (speaking of Helmholtz, guess frustration with his work led to the incomplete Gibbs energy page?)

Apr 8, 2023 · 529 followers View post →

Ted Moss

@TedMoss79 · X

@elonmusk might be interesting for AI.https://t.co/I5rvEDkMDo

Jan 7, 2023 · 163 followers View post →

Sif Neo

@TheRealSif · X

“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.” https://t.co/Rn46okypiZ

Nov 9, 2022 · 114 followers View post →

Qivshi

@Qivshi1 · X

@S33light @JohnRGregg3 many current advances in the explanability of qulia https://t.co/JVlmMXdmHT

Oct 12, 2022 · 866 followers View post →

Paul Hsieh

@PaulHsieh · X

Link to academic abstract: https://t.co/tMky9wg2Ch

Sep 15, 2022 · 2 likes · 2,371 followers View post →

@KatelynnKoi · X

The non-Riemannian nature of perceptual color space #colortheory

Sep 14, 2022 · 1 like · 2,920 followers View post →

Josh Smith

@joshsmith · X

Over 8 years ago I released a color search gem for Rails, the first gem I ever released. It worked okay! But intuitively I felt that it never quite captured human perception of color correctly. It turns out the math has been wrong for over 150 years. https://t.co/4HlqPg4VqV

Sep 12, 2022 · 1,121 followers View post →

なつにもち

@natsunimochi · X

原論文デース https://t.co/HhrNX8Y1yS

Sep 11, 2022 · 773 followers View post →

羊師匠

@sheephb · X

色彩空間の3次元リーマン空間の数学モデルは崩壊したねゲームデザインにとっても色の使い方も多少変わるかな https://t.co/FCJ2DzoOqY

Sep 3, 2022 · 12 followers View post →

Gordon Arsenoff and countless screaming Jagonauts

@deepfriar · X

@keithschnak @PNASNews Link: https://t.co/qk3vlUMIxB

Sep 3, 2022 · 1 like · 375 followers View post →

Cecile Tamura

@ceciletamura · X

https://t.co/GuHCWGGyNt

Sep 2, 2022 · 1 like · 2,889 followers View post →

Madhavan Pallan @WH in NYC

@madhavanpallan · X

RT @NNSANews: A new @LosAlamosNatLab study corrects an error in the 3D mathematical space used by scientists and industry for more than 100…

Aug 29, 2022 · 1 share · 1,255 followers View post →

NNSA

@NNSANews · X

A new @LosAlamosNatLab study corrects an error in the 3D mathematical space used by scientists and industry for more than 100 years to describe how your eye distinguishes one color from another. https://t.co/j6l2BQmaRL https://t.co/YHduA5QjrU

Aug 29, 2022 · 5 likes · 1 share · 25,744 followers View post →

稲見昌彦/ INAMI Masahiko

@drinami · X

RT @pooneil: "The non-Riemannian nature of perceptual color space" https://t.co/F474J3bPXq FB経由で知った。興味がある。来世で読む。

Aug 27, 2022 · 1 share · 34,047 followers View post →

吉田正俊

@pooneil · X

"The non-Riemannian nature of perceptual color space" https://t.co/F474J3bPXq FB経由で知った。興味がある。来世で読む。

Aug 27, 2022 · 8 likes · 1 share · 2,452 followers View post →

Joao Kogler

@joao_kogler · X

This is really remarkable ! "The non-Riemannian nature of perceptual color space | Proceedings of the National Academy of Sciences " https://t.co/o2VcInfbXv

Aug 24, 2022 · 2 likes · 174 followers View post →

kl0z

@k10z · X

RT @ScienceTip: The non-Riemannian nature of perceptual color space https://t.co/TMj9O8hscF

Aug 21, 2022 · 1 share · 56 followers View post →

Science and Medicine

@ScienceTip · X

The non-Riemannian nature of perceptual color space https://t.co/TMj9O8hscF

Aug 20, 2022 · 12 likes · 1 share · 41,654 followers View post →

Oliver Lopez-Corona (Tecozcacuauhtli)

@otrasenda_AC · X

A very interesting paper with many potential implications and applications in technology https://t.co/N7R9NnErfX

Aug 19, 2022 · 1 like · 2,072 followers View post →

Sergio Díaz

@expanding_astro · X

El espacio de color perceptual es aún más complejo de lo que parecía... Hay que seguir explorando el color como herramienta fundamental en #dataviz (y por tanto en #astrofotografia) https://t.co/jSQZ47N6No

Aug 18, 2022 · 199 followers View post →

Michael F. Chiang, MD

@NEIDirector · X

Fascinating work blending psychology, biology and mathematics to challenge the 100-year-old theory of how we perceive color through a new 3D mathematical model… @roxanabujack @LosAlamosNatLab @PNASNews paper: https://t.co/CCgtJncIYN https://t.co/4s4F89saXO

Aug 18, 2022 · 2 likes · 9,756 followers View post →

Regresión Espuria

@RoberttDelaCruz · X

Hoy quiero recomendar un articulo que realmente me impresiono por las implicaciones que puede tener en todos los niveles. https://t.co/qKImywyVc0

Aug 17, 2022 · 293 followers View post →

Leonel

@Leonel31026 · X

https://t.co/UBU0I5Vuzh

Aug 17, 2022 · 21 followers View post →

Alejandro Anaya Huertas

@anaya_huertas · X

Aug 16, 2022 · 2 likes · 978 followers View post →

Leah

@netgh0st · X

RT @santiagoitzcoat: Today's clickbait headline: "Math error: A new study overturns 100-year-old understanding of color perception" — Yet…

Aug 16, 2022 · 2 shares · 147 followers View post →

Santiago Itzcoatl

@santiagoitzcoat · X

Today's clickbait headline: "Math error: A new study overturns 100-year-old understanding of color perception" — Yet, it's interesting research regardless, and originally named: "The non-Riemannian nature of perceptual color space" https://t.co/NnykGhqm1p

Aug 16, 2022 · 3 likes · 2 shares · 3,514 followers View post →

Kenji Sakurai　（桜井健次）

@kenji_sakurai · X

The non-Riemannian nature of perceptual color space | Proceedings of the National Academy of Sciences https://t.co/6AHu81L8ZQ

Aug 15, 2022 · 2 likes · 8,426 followers View post →

shecanhazpdf

@hecanhazpdf · X

RT @rcgordon: #ICanHazPDF https://t.co/Cm0OJwCclQ

Aug 15, 2022 · 1 share · 999 followers View post →

Rick Gordon

@rcgordon · X

#ICanHazPDF https://t.co/Cm0OJwCclQ

Aug 15, 2022 · 1 share · 380 followers View post →

Hammurabi

@coophammurabi · X

non-Riemannian human perceptual colorspace https://t.co/RQXs3KcIec

Aug 14, 2022 · 51 followers View post →

Cole Mathis

@colemathis__ · X

Sunday morning read: colors, perception, maths, data vis. https://t.co/BVwpBLjF3x

Aug 14, 2022 · 3 likes · 981 followers View post →

James V. Kohl

@microRNApro · X

"Olfaction Warps Visual Time Perception" https://t.co/RzuL6UdP6B corrected an error in 3D mathematical space made by Schrödinger and used for more than 100 years to describe how you distinguish one color from another. https://t.co/nbhgcwKBC6 4/29/22 @skdh is still "Lost in Math."

Aug 14, 2022 · 2,568 followers View post →

Christopher Patrick Taylor

@hashtagcpt · X

In my ref manager to read folder. #visionscience #color #colour #geometry #summation #helmholtz #fechner https://t.co/4KARoLZVoF

Aug 13, 2022 · 1 like · 428 followers View post →

\mathbb X

@SqrtOfTrue · X

https://t.co/xndYRy2cAg The #sorites #paradox just got more interesting.

Aug 13, 2022 · 36 followers View post →

Aldo Santiago

@aldosantiago · X

The non-Riemannian nature of perceptual color space | Proceedings of the National Academy of Sciences https://t.co/e7fMCpoU4K

Aug 13, 2022 · 424 followers View post →

Andrew Pruszynski

@andpru · X

"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." https://t.co/Lzax5uE1PE

Aug 12, 2022 · 4 likes · 10,833 followers View post →

Julio Gómez ACTV / MBKS

@JulioGM · X

Necesitamos adaptar cómo medimos las diferencias de color, dado que el estándar vigente Δ Ξ que es el que reconoce la Comisión Internacional de Pesos y Medidas no tiene en cuenta los rendimientos decrecientes en la percepción de las diferencias de color: https://t.co/T7bYfT2AKR

Aug 12, 2022 · 2 likes · 3,141 followers View post →

Photo Corners

@Photo_Corners · X

Around The Horn looks at cool Hungarians, Lukas Korschan, Andy Woo, Blanton Museum marbles, motion, tomorrow's Worldwide Photo Walk and the non-Riemannian nature of perceptual color space: https://t.co/3t1bCyBZGV #photography

Aug 12, 2022 · 19 followers View post →

Janis Keuper

@JanisKeuper · X

Rethink your color space: https://t.co/3osmSXQmAN #computervision

Aug 12, 2022 · 177 followers View post →

Ted Pavlic (he/him/his)

@TedPavlic · X

It's interesting how these results "shaped up" in @PNASNews. The long-standing assumption of a Riemannian perceptual color space doesn't hold up. Color me surprised. "The non-Riemannian nature of perceptual color space" by Bujack et al. (2022, #PNAS) https://t.co/m1HNNBw5iH

Aug 10, 2022 · 1 like · 2,682 followers View post →

Charotar Hub

@charotardaily · X

The non-Riemannian nature of perceptual color space https://t.co/5MgwiEzIKA

May 3, 2022 · 91 followers View post →

The non-Riemannian nature of perceptual color space.

Mentions per month

Where it's discussed

What people are saying

Abstract in brief

Top posts

All mentions

Understanding the Geometry of Color Perception and its Implications

Non-Euclidean Perspectives on Color Perception