Minimal theory of 3D vision: New approach to visual scale and visual shape.
Open accessAbstract
Since Kepler and Descartes in the early-1600s, vision science has been committed to a triangulation model of stereo vision. But in the early-1800s, we realized that disparities are responsible for stereo vision. And we have spent the past 200 years trying to shoe-horn disparities back into the triangulation account. The first part of this article argues that this is a mistake, and that stereo vision is a solution to a different problem: the eradication of rivalry between the two retinal images, rather than the triangulation of objects in space. This leads to a 'minimal theory of 3D vision', where 3D vision is no longer tied to estimating the scale, shape, and direction of objects in the world. The second part of this article then asks whether the other aspects of 3D vision, which go beyond stereo vision, really operate at the same level of visual experience as stereo vision? I argue they do not. Whilst we want a theory of real-world 3D vision, the literature risks giving us a theory of picture perception instead. And I argue for a two-stage theory, where our purely internal 'minimal' 3D percept (from stereo vision) is linked to the world through cognition. This article is part of a discussion meeting issue 'New approaches to 3D vision'.
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A cognitive model of 3-dimensional reality depends on the ability to assess object size, spatial position, and 3D character of identifiable objects viewed from different distances and angles.
“The latter depends on the ability to assess object size, spatial position, and the 3-dimensional character of identifiable objects viewed from different distances and angles (Linton, 2022)”
From The function(s) of consciousness revisited: insights from a modular/constitutive model using vision as a test case (2026) · cites this paper as Linton, 2022
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“(iii) Defocus blur Tilt-shift miniaturization exploits extreme defocus blur across the visual field [119,120].”
Background“What Not” Detectors Help the Brain See in Depth
Goncalves, N. R., & Welchman, A. E. (2017) · Current Biology · doi:10.1016/j.cub.2017.03.074 · Cited by 66 · cited 1× · see citing works
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BackgroundFamiliar size and the theory of off-sized perceptions
Gogel, W. C., & Silva, J. A. D. (1987) · Perception & Psychophysics · doi:10.3758/bf03208233 · Cited by 65 · see citing works
Perception beyond inference: the information content of visual processes
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The place of human psychophysics in modern neuroscience
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Object-Centered Shifts of Receptive Field Positions in Monkey Primary Visual Cortex
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Absolute motion parallax weakly determines visual scale in real and virtual environments
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Experiments on the Role of Painted Cues in Hughes's Reverspectives
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Visual consciousness and bodily self-consciousness
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The role of instructions and familiar size in absolute judgments of size and distance
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Neural architectures for stereo vision
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PHENOMENAL REGRESSION TO THE ‘REAL’ OBJECT. II
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“the then emphasis on above-threshold blur [149,150]).”
The Perception and Cognition of Visual Space
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Fixing My Gaze: A Scientist's Journey into Seeing in Three Dimensions
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Challenges to color constancy in a contemporary light
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“For instance, high resolution in the periphery [68].”
BackgroundThe Familiar-Size Cue to Distance and Stereoscopic Depth Perception
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BackgroundInfluentialDoes vision extract absolute distance from vergence?
Linton, P. (2020) · Attention Perception & Psychophysics · doi:10.3758/s13414-020-02006-1 · Cited by 38 · see citing works
Looking at the task in hand: vergence eye movements and perceived size
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Change in size of the afterimage induced in total darkness.
Taylor, F. V. (1941) · Journal of Experimental Psychology · doi:10.1037/h0058125 · Cited by 31 · see citing works
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“(ii) Motion (looming/optic flow) Participants in [142] (discussed in [141]) were shown two motion in depth stimuli at the same time: (i) a looming stimulus and (ii) a point with disparity.”
BackgroundVisual Sensitivities to Cues for Depth Perception
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BackgroundThe Extent of Visual Space Inferred from Perspective Angles
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The combined influence of binocular disparity and shading on pictorial shape
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“(iii) Pictorial cues ( perspective/shading) The participants in [143] (discussed in [41, p.”
BackgroundCorrecting geometric distortions in stereoscopic 3D imaging
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“And none of the responses in the literature—from intentionally ignoring impossible vertical disparities [21], to averaging out them out [22], to trying to come up with a principled response [20]—make sense on a triangulation account.”
BackgroundEvidence for implication of primate area V1 in neural 3-D spatial localization processing
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“The suggestion in the literature, from Descartes [2] to the present, is that familiar size only affects the distance at which objects are judged to be, but not the distance at which they are perceived to be [54,99–110]; although see [111] for an alternative.”
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V1 as an egocentric cognitive map
Linton, P. (2021) · Neuroscience of Consciousness · doi:10.1093/nc/niab017 · Cited by 16 · cited 10× · see citing works
“The interpretation of it as a single ‘surface’ is a further, purely cognitive, step [27].”
BackgroundInfluentialLayer and framework theories of lightness
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Phenomenal and Cognitive Factors in Spatial Perception
Hatfield, G. (2012) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199597277.003.0003 · Cited by 14 · see citing works
Conflicting shape percepts explained by perception cognition distinction
Linton, P. (2021) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2024195118 · Cited by 14 · cited 4× · see citing works
“As I note in [29], ‘while someone viewing a car and a photograph of a car may be able to identify the same object, they don’t literally perceive the same 3D shape’.”
BackgroundInfluentialToward a new theory of stereopsis: A critique of Vishwanath (2014).
Rogers, B. (2019) · Psychological Review · doi:10.1037/rev0000131 · Cited by 12 · cited 1× · see citing works
“Vishwanath D. 2019 Advancing a new theory of stereopsis: reply to Rogers (2019).”
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Does Vergence Affect Perceived Size?
Linton, P. (2021) · Vision · doi:10.3390/vision5030033 · Cited by 11 · see citing works
Reply to Linton: Perspectival interference up close
Morales, J., Bax, A., & Firestone, C. (2021) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2025440118 · Cited by 11 · cited 1× · see citing works
“It would be like asking whether, if we know we are in France, this stops us from reading street signs in English? For an illustration of the contrast between my position and Chaz Firestone’s [62] position on the perception/cognition distinction, see [29,65,66].”
BackgroundFamiliar size and judgments of distance: Effects of response mode
Predebon, J. (1987) · Bulletin of the Psychonomic Society · doi:10.3758/bf03330344 · Cited by 9 · see citing works
Neural processing of stereopsis as a function of viewing distance
Trotter, Y., Stricanne, B., Celebrini, S., Thorpe, S. J., & Imbert, M. (1993) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198547853.003.0226 · Cited by 9 · see citing works
Advancing a new theory of stereopsis: Reply to Rogers (2019).
Vishwanath, D. (2019) · Psychological Review · doi:10.1037/rev0000168 · Cited by 9 · see citing works
Linton, P., Morgan, M. J., Read, J. C. A., Vishwanath, D., Creem-Regehr, S. H., & Domini, F. (2022) · Philosophical Transactions of the Royal Society B Biological Sciences · doi:10.1098/rstb.2021.0443 · Cited by 9 · cited 1× · see citing works
“This suggests a very different approach to perceptual learning than currently employed in deep neural networks (figure 13) (for a review, see the Introduction article to this issue [86]).”
BackgroundEffect of Familiar Size on Judgments of Relative Size and Distance
Predebon, J. (1979) · Perceptual and Motor Skills · doi:10.2466/pms.1979.48.3c.1211 · Cited by 7 · see citing works
V1 as an Egocentric Cognitive MapPreprint
Linton, P. (2021) · doi:10.31234/osf.io/2sv9m · Cited by 6 · see citing works
Self-citationAre stereoscopic cues ignored in telestereoscopic viewing?
Rogers, B. (2010) · Journal of Vision · doi:10.1167/9.8.288 · Cited by 5 · see citing works
Do We See Scale?Preprint
Linton, P. (2018) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/371948 · Cited by 5 · see citing works
Romano, P. E. (2003) · PubMed · Cited by 4 · see citing works
Helmholtz, H. (1858) · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · doi:10.1080/14786445808642433 · Cited by 4 · see citing works
Perceptual Integration and Visual IllusionsPreprint
Linton, P. (2021) · doi:10.31234/osf.io/p92mn · Cited by 4 · see citing works
Visual Space and the Perception / Cognition DividePreprint
Linton, P. (2021) · doi:10.31234/osf.io/v7mhn · Cited by 4 · cited 4× · see citing works
“(ii) Motion (looming/optic flow) Participants in [142] (discussed in [141]) were shown two motion in depth stimuli at the same time: (i) a looming stimulus and (ii) a point with disparity.”
BackgroundInfluentialSeeing Depth with One Eye and Pictorial SpacePreprint
Linton, P. (2021) · doi:10.31234/osf.io/dt7xw · Cited by 4 · cited 1× · see citing works
“89–103] and [29,47], I argue that pictorial depth ismerely cognitive.”
BackgroundConscious awareness of visual space: A tripartite encoding model.Preprint
Vishwanath, D. (2020) · doi:10.31234/osf.io/35ue9 · Cited by 4 · see citing works
Visual stability—what is the problem?
Glennerster, A. (2015) · Frontiers in Psychology · doi:10.3389/fpsyg.2015.00958 · Cited by 3 · see citing works
Linton, P. The Perception and Cognition of Visual Space
Erkelens, C. J. (2018) · Perception · doi:10.1177/0301006618793311 · Cited by 3 · see citing works
Perceptual Idealism and Phenomenal GeometryPreprint
Linton, P. (2021) · doi:10.31234/osf.io/6tfkn · Cited by 3 · see citing works
Computational Models of 3D-Cue Integration
Domini, F., & Vishwanath, D. (2020) · Encyclopedia of Computational Neuroscience · doi:10.1007/978-1-4614-7320-6_100696-1 · Cited by 3 · cited 1× · see citing works
“To support this claim, there’s been a vast literature over the past 20 years that appears to demonstrate that perspective, shading, and motion can all be traded off against stereo vision [137].”
BackgroundOn Qualitative Shape Inferences: a journey from geometry to topologyPreprint
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Consciousness: How Low Can You Go?Preprint
Linton, P. (2022) · doi:10.31234/osf.io/rv5t6 · Cited by 2 · see citing works
Do We See Scale?Preprint
Linton, P. (2021) · doi:10.31234/osf.io/yf6t7 · Cited by 2 · see citing works
Self-citation
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Cited by
Sorted by citations
Li, Y., Yang, M., Bai, H., Li, R., Liang, J., Huang, J., & Du, Y. (2023) · Building and Environment · doi:10.1016/j.buildenv.2023.110568 · Cited by 18 · see citing works
Toward a theory of perspective perception in pictures
Hertzmann, A. (2024) · Journal of Vision · doi:10.1167/jov.24.4.23 · Cited by 15 · see citing works
“This echoes theories from real-world 3D vision that separate shape and scale, whether in pictures or in real-world 3D vision (Vishwanath, 2014; Linton, 2022), as well as evidence of dissociation between shape and location estimation (Loomis et al., 2002).”
BackgroundInfluentialLinton, P., Morgan, M. J., Read, J. C. A., Vishwanath, D., Creem-Regehr, S. H., & Domini, F. (2022) · Philosophical Transactions of the Royal Society B Biological Sciences · doi:10.1098/rstb.2021.0443 · Cited by 9 · see citing works
“Minimal model: In this issue, Paul Linton [310] argues for a ‘ minimal model ’ of 3D vision.”
MethodMinD-3D: Reconstruct High-Quality 3D Objects in Human Brain
Gao, J., Fu, Y., Wang, Y., Qian, X., Feng, J., & Fu, Y. (2024) · Lecture notes in computer science · doi:10.1007/978-3-031-72970-6_18 · Cited by 7 · see citing works
Relating visual and pictorial space: Integration of binocular disparity and motion parallax
Wang, X. M., & Troje, N. F. (2024) · Journal of Vision · doi:10.1167/jov.24.13.7 · Cited by 5 · see citing works
A Bayesian model of distance perception from ocular convergence
Scarfe, P., & Hibbard, P. B. (2025) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1013506 · Cited by 2 · see citing works
“Our aim was not to experimentally resolve the debate around the experimental evidence of human use of vergence to estimate distance [3,10,16,43,55,102–105].”
Yildiz, G. Y., Skarbez, R., Sperandio, I., Chen, S. J., Mulder, I. J., & Chouinard, P. A. (2024) · Attention Perception & Psychophysics · doi:10.3758/s13414-023-02834-x · Cited by 2 · see citing works
Fındık, H., Kaim, M., Uzun, F., Kanat, A., Keleş, O. N., & Aydın, M. D. (2025) · Life · doi:10.3390/life15040536 · Cited by 1 · see citing works
Toward a Theory of Perspective Perception in PicturesPreprint
Hertzmann, A. (2023) · doi:10.31234/osf.io/c7vdr · Cited by 1 · see citing works
Lacalli, T. (2026) · Frontiers in Psychology · doi:10.3389/fpsyg.2026.1829430
“…the ability to assess object size, spatial position, and the 3-dimensional character of identifiable objects viewed from different distances and angles (Linton, 2022), where it may be the record of gaze shifts that provides the oculomotor maps on which these abilities depend (Hannula et al., 2010;…”
Five Illusions Challenge Our Understanding of Visual ExperiencePreprint
Linton, P. (2025) · doi:10.31234/osf.io/4tqxd_v1
Five Illusions Challenge Our Understanding of Visual ExperiencePreprint
Linton, P. (2025) · doi:10.31234/osf.io/4tqxd_v2
Broseghini, A., Bevilacqua, V., Guerineau, C., Mongillo, P., & Marinelli, L. (2025) · Animal Cognition · doi:10.1007/s10071-025-02026-0
“The Intrinsic Constraint theory proposes that the visual system pri-oritizes the most stable interpretation of visual input over the most probable one, especially when faced with variations in viewing conditions (Domini 2023).”
- Authors
- Linton, P.
- Affiliations
- Mortimer B. Zuckerman Mind Brain Behavior Institute (US)
- Corresponding author
- Linton, Paul
- ORCID
- Linton, Paul
- Venue
- Philosophical Transactions of the Royal Society B Biological Sciences
- Publisher
- The Royal Society
- Published
- 2022-12-13
- Volume
- 378
- Issue
- 1869
- Pages
- 20210455-20210455
- ISSN
- 0962-8436 (ISSN-L)
- 1471-2970
- PMC
- PMC9745885
- OpenAlex
- W4311349858
- Cited by
- 13
- References
- 175
- Citations by year
- 2026: 1 · 2025: 5 · 2024: 4 · 2023: 2 · 2022: 1
- FWCI
- 0.42
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Locations
- Philosophical Transactions of the Royal Society B Biological Sciences (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- Funders
- Presidential Scholars in Society and Neuroscience, Center for Science and Society, Columbia University
- Art, Humanities, and Neuroscience Fellowship, The Italian Academy for Advanced Studies, Columbia University
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Visual perception and processing mechanisms
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Philosophy and Theoretical Science
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Advanced Vision and Imaging
- Keywords
- 3D vision, stereo vision, binocular disparity, visual scale, visual form, image perception, visual perception
- MeSH terms
- Cognition, Vision, Ocular
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