Surface orientation from texture: ideal observers, generic observers and the information content of texture cues
Open accessAbstract
Perspective views of textured, planar surfaces provide a number of cues about the orientations of the surfaces. These include the information created by perspective scaling of texture elements (scaling), the information created by perspective foreshortening of texels (foreshortening) and, for textures composed of discrete elements, the information created by the effects of both scaling and foreshortening on the relative positions of texels (position). We drive a general form for ideal observers for each of these cues as they appear in images of spatially extended textures, (e.g. those composed of solid 2-D figures). As an application of the formulation, we derive a set of 'generic' observers which we show perform near optimally for images of a broad range of surface textures, without special prior knowledge about the statistics of the textures. Using simulations of ideal observers, we analyze the informational structure of texture cues, including a quantification of lower bounds on reliability for the three different cues, how cue reliability varies with slant angle and how it varies with field of view. We also quantify how strongly the reliability of the foreshortening cue depends on a prior assumption of isotropy. Finally, we extend the analysis to a naturalistic class of textures, showing that the information content of textures particularly suited to psychophysical investigation can be quantified, at least to a first-order approximation. The results provide an important computational foundation for psychophysical work on perceiving surface orientation from texture.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The gradient of change in element size and density in a homogenously tiled surface's projection ("texture") provides information about its slant.
“The gradient of change in element size and density in a homogenously tiled surface's projection (“texture”) provides information about its slant (15).”
From Fusion of visual cues is not mandatory in children (2010) · cites this paper as [15]
Texture was much faster than disparity at the easier stimulus levels.
“Texture was much faster than disparity at the easier stimulus levels (Fig. 3), in line with texture-based slant discriminations becoming progressively easier toward the horizontal (15) and with binocular fusion for stereopsis requiring additional time irrespective of stimulus difficulty.”
From Fusion of visual cues is not mandatory in children (2010) · cites this paper as [15]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Linear Statistical Inference and its Applications
Rao, C. R. (1973) · Wiley series in probability and statistics · doi:10.1002/9780470316436 · Cited by 10,474 · see citing works
The Mathematical Theory of Communication
Shannon, C. E., Weaver, W., & Wiener, N. (1950) · Physics Today · doi:10.1063/1.3067010 · Cited by 9,875 · see citing works
Linear Statistical Inference and Its Applications.
Robertson, C., & Rao, C. R. (1975) · Biometrics · doi:10.2307/2529568 · Cited by 3,611 · see citing works
Stochastic Differential Equations: Theory and Applications.
Whittle, P., & Arnold, L. (1976) · Journal of the Royal Statistical Society Series A (General) · doi:10.2307/2344856 · Cited by 2,391 · see citing works
Perception as Bayesian Inference
(1996) · doi:10.1017/cbo9780511984037 · Cited by 1,425 · see citing works
A sweepline algorithm for Voronoi diagrams
Fortune, S. (1987) · Algorithmica · doi:10.1007/bf01840357 · Cited by 1,139 · see citing works
The Perception of Visual Surfaces
Gibson, J. J. (1950) · The American Journal of Psychology · doi:10.2307/1418003 · Cited by 599 · see citing works
Recovering surface shape and orientation from texture
Witkin, A. (1981) · Artificial Intelligence · doi:10.1016/0004-3702(81)90019-9 · Cited by 510 · see citing works
Texture gradient as a depth cue
Bajcsy, R. K., & Lieberman, L. (1976) · Computer Graphics and Image Processing · doi:10.1016/s0146-664x(76)80005-6 · Cited by 289 · see citing works
The generic viewpoint assumption in a framework for visual perception
Freeman, W. T. (1994) · Nature · doi:10.1038/368542a0 · Cited by 256 · see citing works
Bayesian decision theory and psychophysics
Yuille, A. L., & Bülthoff, H. H. (1996) · Perception as Bayesian Inference · doi:10.1017/cbo9780511984037.006 · Cited by 250 · cited 1× · see citing works
“Applying a statistical estimation approach as used here provides a framework for testing assumptions such as isotropy [9,33].”
A perturbation analysis of depth perception from combinations of texture and motion cues
Young, M., Landy, M. S., & Maloney, L. T. (1993) · Vision Research · doi:10.1016/0042-6989(93)90228-o · Cited by 234 · see citing works
Three gradients and the perception of flat and curved surfaces.
Cutting, J. E., & Millard, R. T. (1984) · Journal of Experimental Psychology General · doi:10.1037/0096-3445.113.2.198 · Cited by 201 · see citing works
Integration of depth modules: Stereopsis and texture
Johnston, E. B., Cumming, B. G., & Parker, A. J. (1993) · Vision Research · doi:10.1016/0042-6989(93)90200-g · Cited by 152 · see citing works
Discrimination of planar surface slant from texture: human and ideal observers compared
Knill, D. C. (1998) · Vision Research · doi:10.1016/s0042-6989(97)00325-8 · Cited by 148 · see citing works
Self-citationShape from texture using local spectral moments
Super, B. J., & Bovik, A. C. (1995) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.385983 · Cited by 137 · see citing works
The information content of texture gradients
Stevens, K. A. (1981) · Biological Cybernetics · doi:10.1007/bf00336727 · Cited by 129 · see citing works
Perception of three-dimensional form from patterns of optical texture.
Todd, J. T., & Akerstrom, R. A. (1987) · Journal of Experimental Psychology Human Perception & Performance · doi:10.1037//0096-1523.13.2.242 · Cited by 129 · see citing works
Blake, A., & Marinos, C. (1990) · Artificial Intelligence · doi:10.1016/0004-3702(90)90011-n · Cited by 122 · see citing works
Shape from texture: General principle
Kanatani, K., & Chou, T.-C. (1989) · Artificial Intelligence · doi:10.1016/0004-3702(89)90066-0 · Cited by 121 · see citing works
Shape from texture: Ideal observers and human psychophysics
Blake, A., Bülthoff, H., & Sheinberg, D. L. (1993) · Vision Research · doi:10.1016/0042-6989(93)90037-w · Cited by 116 · see citing works
Shape from texture for smooth curved surfaces in perspective projection
Gårding, J. (1992) · Journal of Mathematical Imaging and Vision · doi:10.1007/bf00121877 · Cited by 114 · see citing works
Effects of different texture cues on curved surfaces viewed stereoscopically
Gumming, B. G., Johnston, E. B., & Parker, A. J. (1993) · Vision Research · doi:10.1016/0042-6989(93)90201-7 · Cited by 91 · see citing works
Shape from texture from a multi-scale perspective
Tony Lindeberg, C., & Gårding, J. (2002) · IEEE/CVF International Conference on Computer Vision (ICCV) · doi:10.1109/iccv.1993.378146 · Cited by 85 · see citing works
Perception of three-dimensional form from patterns of optical texture.
Todd, J. T., & Akerstrom, R. A. (1987) · Journal of Experimental Psychology Human Perception & Performance · doi:10.1037/0096-1523.13.2.242 · Cited by 81 · see citing works
Surface orientation from texture: Isotropy or homogeneity (or both)?
Rosenholtz, R. E., & Malik, J. (1997) · Vision Research · doi:10.1016/s0042-6989(96)00121-6 · Cited by 76 · see citing works
Perspective and form ratio as determinants of relative slant judgments.
Braunstein, M. L., & Payne, J. W. (1969) · Journal of Experimental Psychology · doi:10.1037/h0027886 · Cited by 76 · see citing works
Knill, D. C. (1998) · Vision Research · doi:10.1016/s0042-6989(97)00415-x · Cited by 74 · see citing works
Self-citationSurface orientation from projective foreshortening of isotropic texture autocorrelation
Brown, L. G., & Shvaytser, H. (1990) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.56194 · Cited by 73 · see citing works
Characterization of the spatial-frequency spectrum in the perception of shape from texture
Sakai, K., & Finkel, L. H. (1995) · Journal of the Optical Society of America A · doi:10.1364/josaa.12.001208 · Cited by 56 · see citing works
Efficient Recovery of Shape from Texture
Davis, L. S., Janoš, L., & DUNN, S. M. (1983) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.1983.4767427 · Cited by 52 · see citing works
Surface orientation and curvature from differential texture distortion
Gårding, J. (2002) · IEEE International Conference on Computer Vision (ICCV) · doi:10.1109/iccv.1995.466865 · Cited by 32 · see citing works
Malik, J., & Rosenholtz, R. E. (1994) · Lecture notes in computer science · doi:10.1007/3-540-57956-7_39 · Cited by 31 · see citing works
Does the human visual system implement an ideal observer theory of slant from texture?
Buckley, D., Frisby, J. P., & Blake, A. (1996) · Vision Research · doi:10.1016/0042-6989(95)00177-8 · Cited by 31 · see citing works
Shape from texture: Ideal observers and human psychophysics
Blake, A., Bülthoff, H., & Sheinberg, D. L. (1996) · Cambridge University Press eBooks · doi:10.1017/cbo9780511984037.010 · Cited by 23 · see citing works
Estimating illuminant direction and degree of surface relief
Knill, D. C. (1990) · Journal of the Optical Society of America A · doi:10.1364/josaa.7.000759 · Cited by 15 · see citing works
Self-citationA sweepline algorithm for Voronoi diagrams
(1988) · Computer-Aided Design · doi:10.1016/0010-4485(88)90163-7 · Cited by 10 · see citing works
Experiments on Stereo and Texture Cue Combination in Human Vision Using Quasi-Neutral Viewing
Frisby, J. P., & Buckley, D. (1992) · Springer eBooks · doi:10.1007/978-3-642-77840-7_11 · Cited by 9 · see citing works
Flagged first, then by citations
Research works printed but not linked: 2
- Knill DC. Discriminating surface slant from texture: comparing human and ideal observers. Vis Res 1998;38:1683 -1711.
- Rosenholtz R, Malik J. Shape from texture: Isotropy or homo- geneity (or both)? Vis Res 1997;37:2283-2294.
Cited by
Sorted by citations
Probabilistic brains: knowns and unknowns
Pouget, A., Beck, J. M., Ma, W. J., & Latham, P. E. (2013) · Nature Neuroscience · doi:10.1038/nn.3495 · Cited by 615 · see citing works
Slant from texture and disparity cues: Optimal cue combination
Hillis, J. M., Watt, S. J., Landy, M. S., & Banks, M. S. (2004) · Journal of Vision · doi:10.1167/4.12.1 · Cited by 421 · see citing works
Bayesian multisensory integration and cross-modal spatial links.
Deneve, S., & Pouget, A. (2004) · Journal of Physiology-Paris · doi:10.1016/j.jphysparis.2004.03.011 · Cited by 230 · see citing works
Fusion of visual cues is not mandatory in children
Nardini, M., Bedford, R., & Mareschal, D. (2010) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1001699107 · Cited by 161 · see citing works
Bayesian natural selection and the evolution of perceptual systems
Geisler, W. S., & Diehl, R. L. (2002) · Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences · doi:10.1098/rstb.2001.1055 · Cited by 101 · see citing works
Signal detection theory, uncertainty, and Poisson-like population codes
Ma, W. J. (2010) · Vision Research · doi:10.1016/j.visres.2010.08.035 · Cited by 60 · see citing works
Aitchison, L., & Lengyel, M. (2016) · PLOS Computational Biology · doi:10.1371/journal.pcbi.1005186 · Cited by 67 · see citing works
- Authors
- Knill, D. C.
- Affiliations
- University of Pennsylvania (US)
- Corresponding author
- Knill, David C.
- Venue
- Vision Research
- Publisher
- Elsevier BV
- Published
- 1998-06
- Volume
- 38
- Issue
- 11
- Pages
- 1655-1682
- ISSN
- 0042-6989 (ISSN-L)
- OpenAlex
- W2048245740
- Cited by
- 147
- References
- 38
- Citations by year
- 2026: 2 · 2025: 1 · 2024: 3 · 2023: 2 · 2022: 5 · 2021: 2 · 2020: 3 · 2019: 20 · 2018: 2 · 2017: 2 · 2016: 6 · 2015: 7 · 2014: 3 · 2013: 6 · 2012: 3
- FWCI
- 2.12
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Vision Research (publishedVersion, cc-by-nc-nd)
- PubMed (publishedVersion)
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Visual perception and processing mechanisms
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Advanced Vision and Imaging
- Life Sciences › Neuroscience › Cognitive Neuroscience › Face Recognition and Perception
- Keywords
- surface orientation, texture cues, ideal observer, foreshortening, cue reliability, slant perception, field of view, isotropy assumption
- MeSH terms
- Cues, Humans, Mathematics, Models, Neurological, Pattern Recognition, Visual, Psychophysics, Rotation, Likelihood Functions
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review