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Underestimation of visual texture slant by human observers: a model

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Abstract

The perspective image of an obliquely inclined textured surface exhibits shape and density distortions of texture elements which allow a human observer to estimate the inclination angle of the surface. However, it has been known since the work of Gibson (1950) that, in the absence of other cues, humans tend to underestimate the slant angle of the surface, particularly when the texture is perceived as being “irregular.” The perspective distortions which affect texture elements also shift the projected spatial frequencies of the texture in systematic ways. Using a suitable local spectral filter to measure these frequency gradients, the inclination angle of the surface may be estimated. A computational model has been developed which performs this task using distributions of outputs from filters found to be a good description of simple-cell receptive fields. However, for “irregular” textures the filter output distributions are more like those of “regular” textures at shallower angles of slant, leading the computational algorithm to underestimate the slant angle. This behavioral similarity between human and algorithm suggests the possibility that a similar visual computation is performed in cortex.

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References

  • Adelson EH, Bergen JR (1985) Spatiotemporal energy models for the perception of motion. J Opt Soc Am A 2:284–299

    PubMed  Google Scholar 

  • Bajcsy R, Lieberman L (1976) Texture gradient as a depth cue. Comput Graph Image Process 5:52–67

    Google Scholar 

  • Braunstein ML (1968) Motion and texture as sources of slant information. J Exp Psychol 78:247–253

    PubMed  Google Scholar 

  • Brodatz P (1966) Textures, a photographic album for artists and designers. Dover, New York

    Google Scholar 

  • Campbell FW, Robson JG (1968) Application of Fourier analysis to the visibility of gratings. J Physiol (London) 197:551–566

    Google Scholar 

  • Clark WC, Smith AH, Rabe A (1956) The interaction of surface texture, outline gradient and ground in the perception of slant. Can J Psychol 10:1–8

    PubMed  Google Scholar 

  • Daugman JG (1980) Two-dimensional spectral analysis of cortical receptive field profiles. Vision Res 20:847–856

    Article  PubMed  Google Scholar 

  • Daugman JG (1985) Uncertainty relation for resolution in space, spatial frequency, and orientation optimized by two-dimensioanl visual cortical filters. J Opt Soc Am A 2:1160–1169

    PubMed  Google Scholar 

  • Enroth-Cugell C, Robson JG (1966) The contrast sensitivity of retinal ganglion cells of the cat. J Physiol (London) 187:517–552

    Google Scholar 

  • Epstein W, Park J (1964) Examination of Gibson's psychophysical hypothesis. Psychol Bull 62:180–196

    PubMed  Google Scholar 

  • Erickson RP (1963) Sensory neural patterns and gustation. In: Zotterman Y (eds) Olfaction and taste. Macmillan, New York, pp 205–213

    Google Scholar 

  • Erickson RP (1974) Parallel “population” neural coding in feature extraction. In: Schmitt FO, Worden FG (eds) The neurosciences: third study program. MIT Press, Cambridge Mass, pp 155–169

    Google Scholar 

  • Flock H, Moscatelli A (1964) Variables of surface texture and accuracy of space perceptions. Percep Motor Skills 19:327–334

    Google Scholar 

  • Gabor D (1946) Theory of communication. J Inst Electr Eng (London) 93:429–457

    Google Scholar 

  • Gibson JJ (1950) The perception of visual surfaces. Am J Psychol 63:367–384

    PubMed  Google Scholar 

  • Gibson JJ (1979) The ecological approach to visual perception. Houghton Mifflin, Boston

    Google Scholar 

  • Gibson JJ, Cornsweet J (1952) The perceived slant of visual surfaces — optical and geographical. J Exp Psychol 44:11–15

    PubMed  Google Scholar 

  • Gruber HE, Clark WC (1956) Perception of slanted surface. Percep Motor Skills 6:97–106

    Google Scholar 

  • Hopfield JJ, Tank DW (1986) Computing with neural circuits: a model. Science 233:625–633

    PubMed  Google Scholar 

  • Hubel DH, Wiesel TN (1959) Receptive fields of single neurons in the cat's striate cortex. J Physiol (London) 148:574–591

    Google Scholar 

  • Hubel DH, Wiesel TN (1962) Receptive fields, binocular interaction and functional architecture in the cat's visual cortex. J Physiol (London) 160:106–154

    Google Scholar 

  • Jones JP, Palmer LA (1987a) The two-dimensional spatial structure of simple receptive fields in cat striate cortex. J Neurophysiol 58:1187–1211

    PubMed  Google Scholar 

  • Jones JP, Palmer LA (1987b) An evaluation of the two-dimensional Gabor filter model of simple receptive fields in cat striate cortex. J Neurophysiol 58:1233–1258

    PubMed  Google Scholar 

  • Jones JP, Stepnoski A, Palmer LA (1987) The two-dimensional spectral structure of simple receptive fields in cat striate cortex. J Neurophysiol 58:1212–1232

    PubMed  Google Scholar 

  • MacKay DM (1981) Strife over visual cortical function. Nature 289:117–118

    Article  PubMed  Google Scholar 

  • Marcelja S (1980) Mathematical description of the responses of simple cortical cells. J Opt Soc Am 70:1297–1300

    PubMed  Google Scholar 

  • Marr D (1982) Vision. Freeman, San Francisco

    Google Scholar 

  • Perrone JA (1980) Slant underestimation: a model based on the size of the viewing aperture. Perception 9:285–302

    PubMed  Google Scholar 

  • Rumelhart DE, Hinton GE, Williams RJ (1986) Learning internal representations by error propagation. In: Rumelhart DE, McClelland JL (eds) Parallel distributed processing: exploring the microstructures of cognition. MIT Press, Cambridge, Mass, pp 318–364

    Google Scholar 

  • Sejnowski TJ, Koch C, Churchland PS (1988) Computational neuroscience. Science 241:1299–1307

    PubMed  Google Scholar 

  • Stevens K (1983) Slant — tilt: the visual encoding of surface orientation. Biol Cybern 46:183–195

    Article  PubMed  Google Scholar 

  • Turner MR (1986) Texture discrimination by Gabor functions. Biol Cybern 55:71–82

    PubMed  Google Scholar 

  • Turner MR, Bajcsy R, Gerstein GL (1989a) Estimation of textured surface inclination by parallel local spectral analysis. University of Pennsylvania Technical Report: MS-CIS-89-42 GRASP LAB 184, March, 1989

  • Turner MR, Salganicoff M, Gerstein GL, Bajcsy R (1989b) Receptive fields for the determination of textured surface inclination. Univerity of Pennsylvania Technical Report: MS-CIS-89-48, GRASP LAB 187, July, 1989

  • Weber AG (1986) Image data base. Technical Report USC SIPI Report 101, University of Southern California, Signal and Image Processing Institute, February, 1986

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Turner, M.R., Gerstein, G.L. & Bajcsy, R. Underestimation of visual texture slant by human observers: a model. Biol. Cybern. 65, 215–226 (1991). https://doi.org/10.1007/BF00206219

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  • DOI: https://doi.org/10.1007/BF00206219

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