Abstract
Although illusory contours were first described nearly a century ago, researchers have only recently begun to approach a consensus on the processes underlying their formation. Neurophysiological and psychophysical evidence indicate that neural mechanisms of the early visual cortex subserve illusory contour generation, although cognitive factors play important roles in determining the final percept. I summarize experiments concerning the determinants of illusory contour strength and form, concentrating on findings particularly relevant to modeling. After establishing arguments for the early generation of illusory contours, I provide an overview of formation theories, culminating with descriptions of neural models. The constraints that experimental data place on models are outlined, and neural models are evaluated with respect to these constraints. Throughout the review, I indicate where further experimental and modeling research are critical.
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Abravanel, E. (1982). Perceiving subjective contours during early childhood.Journal of Experimental Child Psychology,33, 280–287.
Albert, M. K. (1993). Parallelism and the perception of illusory contours.Perception,22, 589–595.
Albert, M. K., &Hoffman, D. D. (1992). The generic viewpoint as sumption and illusory contours [Abstract].Investigative Ophthalmology & Visual Science,33, 68.
Andersen, G. J., &Cortese, J. M. (1989). 2-D contour perception resulting from kinetic occlusion.Perception & Psychophysics,46, 49–55.
Banton, T., &Levi, D. M. (1992). The perceived strength of illusory contours.Perception & Psychophysics,52, 676–684.
Barlow, H. B., &Hill, R. M. (1963). Evidence for a physiological explanation of the waterfall phenomena and figural aftereffects.Nature,200, 1345–1347.
Becker, M. F., &Knopp, J. (1978). Processing of visual illusions in the frequency and spatial domains.Perception & Psychophysics,23, 521–526.
Berkley, M. A., Debruyn, B., &Orban, G. (1994). Illusory, motion, and luminance-defined contours interact in the human visual system.Vision Research,34, 209–216.
Bertenthal, B. I., Campos, J. J., &Haith, M. M. (1980). Development of visual organization: The perception of subjective contours.Child Development,51, 1072–1080.
Bradley, D. R. (1982). Binocular rivalry of real vs. subjective contours.Perception & Psychophysics,32, 85–87.
Bradley, D. R. (1987). Cognitive contours and perceptual organization. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 201–212). New York: Springer-Verlag.
Bradley, D. R., &Dumais, S. T. (1975). Ambiguous cognitive contours.Nature,257, 582–584.
Bradley, D. R., &Dumais, S. T. (1984). The effects of illumination level and retinal size on the depth stratification of subjective contour figures.Perception,13, 155–164.
Bradley, D. R., Dumais, S. T., &Petry, H. M. (1976). Reply to Cavonius.Nature,261, 77–78.
Bradley, D. R., &Mates, S. M. (1985). Perceptual organization and apparent brightness in subjective contour figures.Perception,14, 645–653.
Bradley, D. R., &Petry, H. M. (1977). Organizational determinants of subjective contour: The subjective Necker cube.American Journal of Psychology,90, 253–262.
Brady, M., &Grimson, W. E. L. (1981).The perception of subjective surfaces (A.I. Memo No. 666). Cambridge, MA: MIT Artificial Intelligence Laboratory.
Bravo, M., Blake, R., &Morrison, S. (1988). Cats see subjective contours.Vision Research,28, 861–865.
Bressan, P. (1987). Subjective rarefaction in illusory figures: The inadequacy of apparent lightness as an explanation.Perception,16, 461–466.
Bressan, P., &Vallortigara, G. (1986). Subjective contours can produce stereokinetic effects.Perception,15, 409–412.
Bressan, P., &Vallortigara, G. (1987). Stereokinesis with moving visual phantoms.Perception,16, 73–78.
Bressan, P., &Vallortigara, G. (1991). Illusory depth from moving subjective figures and neon colour spreading.Perception,20, 637–644.
Brigner, W. L. (1982). Mathematical model for the filling-in of illusionary contour.Perceptual & Motor Skills,54, 815–820.
Brigner, W. L., &Gallagher, M. B. (1974). Subjective contour: Apparent depth or simultaneous brightness contrast?Perceptual & Motor Skills,38, 1047–1053.
Bross, M., &Michelangeli, L. (1988). The role of inducer alignment and practice in the perception of subjective contours.Perception,17, 391.
Bruno, N., &Bertamini, M. (1990). Identifying contours from occlusion events.Perception & Psychophysics,48, 331–342.
Bruno, N., &Gerbino, W. (1987). Amodal completion and illusory figures: An information-processing analysis. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 220–223). New York: Springer-Verlag.
Bruno, N., &Gerbino, W. (1991). Illusory figures based on local kinematics.Perception,20, 259–274.
Brussel, E. M., Stober, S. R., &Bodinger, D. M. (1977). Sensory information and the subjective contour.American Journal of Psychology,90, 145–156.
Coren, S. (1972). Subjective contours and apparent depth.Psychological Review,79, 359–367.
Coren, S. (1991). Retinal mechanisms in the perception of subjective contours: The contribution of lateral inhibition.Perception,20, 181–191.
Coren, S., &Porac, C. (1983). Subjective contours and apparent depth: A direct test.Perception & Psychophysics,33, 197–200.
Coren, S., Porac, C., &Theodor, L. H. (1986). The effects of perceptual set on the shape and apparent depth of subjective contours.Perception & Psychophysics,39, 327–333.
Coren, S., Porac, C., &Theodor, L. H. (1987). Set and subjective contour. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 237–245). New York: Springer-Verlag.
Coren, S., &Theodor, L. H. (1975). Subjective contour: The inadequacy of brightness contrast as an explanation.Bulletin of the Psychonomic Society,6, 87–89.
Davi, M., Pinna, B., &Sambin, M. (1992). Amodal completion versus induced inhomogeneities in the organization of illusory figures.Perception,21, 627–636.
Day, R. H. (1986). Enhancement of edges by contrast, depth and figure: The origin of illusory contours. In J. D. Pettigrew, K. J. Sanderson, & W. R. Levick (Eds.),Visual neuroscience (pp. 352–364). Cambridge: Cambridge University Press.
Day, R. H. (1987). Cues for edges and the origin of illusory contours: An alternative approach. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 53–61). New York: Springer-Verlag.
Day, R. H., Dickinson, R. G., &Jory, M. K. (1977). The Poggendorff illusion with subjective contours.Quarterly Journal of Experimental Psychology,29, 219–226.
Day, R. H., &Jory, M. K. (1980). A note on a second stage in the formation of illusory contours.Perception & Psychophysics,27, 89–91.
Day, R. H., &Kasperczyk, R. T. (1983). Amodal completion as a basis for illusory contours.Perception & Psychophysics,33, 355–364.
de Weerd, P., Vandenbusche, E., de Bruyn, B., &Orban, G. A. (1990). Illusory contour orientation discrimination in the cat.Behavioural Brain Research,39, 1–17.
de Weert, C. M. M. (1983). The role of colours in the formation of subjective contours.Psychological Research,45, 117–134.
Dobbins, A., Zucker, S. W., &Cynader, M. S. (1989). Endstopping and curvature.Vision Research,29, 1371–1387.
Dresp, B. (1992). Local brightness mechanisms sketch out surfaces but do not fill them in: Psychophysical evidence in the Kanizsa square.Perception & Psychophysics,52, 562–570.
Dresp, B. (1993). Bright lines and edges facilitate the detection of small light targets.Spatial Vision,7, 213–225.
Dresp, B., &Bonnet, C. (1991). Psychophysical evidence for low-level processing of illusory contours and surfaces in the Kanizsa square.Vision Research,31, 1813–1817.
Dresp, B., Lorenceau, J., &Bonnet, C. (1990). Apparent brightness enhancement in the Kanizsa square with and without illusory contour formation.Perception,19, 483–489.
Dumais, S. T., &Bradley, D. R. (1976). The effects of illumination level and retinal size on the apparent strength of subjective contours.Perception & Psychophysics,19, 339–345.
Ehrenstein, W. (1941). Über Abwandlungen der L. Hermannschen Helligkeits-Erscheinung.Zeitschrift für Psychologie,150, 83–91.
Ejima, Y., &Takahashi, S. (1988). Illusory contours induced by isoluminant chromatic patterns.Vision Research,28, 1367–1377.
Fahle, M., &Palm, G. (1991). Perceptual rivalry between illusory and real contours.Biological Cybernetics,66, 1–8.
Field, D. J., Hayes, A., &Hess, R. F. (1992). Contour integration by the human visual system: Evidence for a local “association field.”Vision Research,33, 173–193.
Finkel, L. H., &Edelman, G. M. (1989). Integration of distributed cortical systems by reentry: A computer simulation of interactive functionally segregated visual areas.Journal of Neuroscience,9, 3188–3208.
Finkel, L. H., &Sajda, P. (1992). Object discrimination based on depth-from-occlusion.Neural Computation,4, 901–921.
Finkel, L. H., &Sajda, P. (1994). Constructing visual perception.American Scientist,82, 224–237.
Francis, G., Grossberg, S., &Mingolla, E. (1994). Cortical dynamics of feature binding and reset: Control of visual persistence.Vision Research,34, 1089–1104.
Frisby, J. P., &Clatworthy, J. L. (1975). Illusory contours: Curious cases of simultaneous brightness contrast.Perception,4, 349–357.
Gellatly, A. R. H. (1980). Perception of an illusory triangle with masked inducing figure.Perception,9, 599–602.
Gellatly, A. R. H. (1982). Perceptual learning of illusory contours and colour.Perception,11, 655–661.
Gellatly, A. R. H., &Bishop, M. J. (1987). The perception of illusory contours: A skills analysis. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 262–267). New York: Springer-Verlag.
Gerbino, W., &Kanizsa, G. (1987). Can we see constructs? In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 246–252). New York: Springer-Verlag.
Gillam, B. (1987). Perceptual grouping and subjective contours. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 268–273). New York: Springer-Verlag.
Gillam, B. J., &Goodenough, B. (1994). Subjective contours at line terminators-the effect of the relationship between terminator arrangement and line arrangement [Abstract].Investigative Ophthalmology & Visual Science,35, 1627.
Ginsburg, A. P. (1975). Is the illusory triangle physical or imaginary?Nature,257, 219–220.
Ginsburg, A. P. (1987). The relationship between spatial filtering and subjective contours. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 126–130). New York: Springer-Verlag.
Goldstein, M. B., &Weintraub, D. J. (1972). The parallel-less Poggendorff: Virtual contours put the illusion down but not out.Perception & Psychophysics,11, 353–355.
Gove, A. (1993).A neural network model of visual segmentation: Illusory contour formation, brightness induction, and grouping of scenic elements. Unpublished doctoral dissertation, Boston University.
Gove, A.,Grossberg, S., &Mingolla, E. (1994a).Brightness perception, illusory contours, and binocular corticogeniculate feedback (Tech. Rep. No. CAS/CNS-TR-94-033). Boston University, Department of Cognitive and Neural Systems.
Gove, A., Grossberg, S., &Mingolla, E. (1994b). A link between brightness perception, illusory contours, and binocular corticogeniculate feedback [Abstract].Investigative Ophthalmology & Visual Science,35, 1437.
Grabowecky, M., &Treisman, A. (1989). Attention and fixation in subjective contour perception [Abstract].Investigative Ophthalmology & Visual Science,30, 457.
Gregory, R. L. (1972). Cognitive contours.Nature,238, 51–52.
Gregory, R. L. (1977). Vision with isoluminant color contrast: 1. A projection technique and observations.Perception,6, 113–119.
Gregory, R. L. (1987). Illusory contours and occluding surfaces. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 81–89). New York: Springer-Verlag.
Gregory, R. L., &Harris, J. P. (1974). Illusory contours and stereo depth.Perception & Psychophysics,15, 411–416.
Grosof, D. H., Shapley, R. M., &Hawken, M. J. (1993). Macaque V1 neurons can signal “illusory” contours.Nature,365, 550–552.
Grossberg, S. (1987a). Cortical dynamics of three-dimensional form, color, and brightness perception: II. Binocular theory.Perception & Psychophysics,41, 117–158.
Grossberg, S. (1987b). Cortical dynamics of three-dimensional form, color, and brightness perception: I. Monocular theory.Perception & Psychophysics,41, 87–116.
Grossberg, S. (1994). 3-D vision and figure-ground separation by visual cortex.Perception & Psychophysics,55, 48–121.
Grossberg, S., &Marshall, J. (1989). Stereo boundary fusion by cortical complex cells: A system of maps, filters, and feedback networks for multiplexing distributed data.Neural Networks,2, 29–51.
Grossberg, S., &Mingolla, E. (1985a). Neural dynamics of form perception: Boundary completion, illusory figures, and neon color spreading.Psychological Review,92, 173–211.
Grossberg, S., &Mingolla, E. (1985b). Neural dynamics of perceptual grouping: Textures, boundaries, and emergent segmentations.Perception & Psychophysics,38, 141–171.
Grossberg, S., &Mingolla, E. (1987a). Neural dynamics of surface perception: Boundary webs, illuminants, and shape from shading.Computer Vision, Graphics, & Image Processing,37, 116–165.
Grossberg, S., &Mingolla, E. (1987b). The role of illusory contours in visual segmentation. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 116–125). New York: Springer-Verlag.
Grossberg, S.,Mingolla, E., &Williamson, J. R. (1994).Synthetic aperture radar processing by a multiple scale neural system for boundary surface representation (Tech. Rep. No. CAS/CNS-TR-94-001). Boston University, Department of Cognitive and Neural Systems.
Grossberg, S., &Rudd, M. E. (1989). A neural architecture for visual motion perception: Group and element apparent motion.Neural Networks,2, 421–450.
Grossberg, S., &Rudd, M. E. (1992). Cortical dynamics of visual motion perception: Short-range and long-range apparent motion.Psychological Review,99, 78–121.
Grossberg, S., &Todorović, D. (1988). Neural dynamics of 1-D and 2-D brightness perception: A unified model of classical and recent phenomena.Perception & Psychophysics,43, 241–277.
Gurnsey, R., Humphrey, G. K., &Kapitan, P. (1992). Parallel discrimination of subjective contours defined by offset gratings.Perception & Psychophysics,52, 263–276.
Halpern, D. F. (1981). The determinants of illusory-contours perception.Perception,10, 199–213.
Halpern, D. F. (1987). The functional equivalence of objective and illusory brightness enhancement. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 171–175). New York: Springer-Verlag.
Halpern, D. F., &Salzman, B. (1983). The multiple determination of illusory contours: 1. A review.Perception,12, 281–291.
Halpern, D. F., Salzman, B., Harrison, W., &Widaman, K. (1983). The multiple determination of illusory contours: 2. An empirical investigation.Perception,12, 293–303.
Halpern, D. F., &Warm, J. S. (1980). The disappearance of real and subjective contours.Perception & Psychophysics,28, 229–235.
Halpern, D. F., &Warm, J. S. (1984). The disappearance of dichoptically presented real and subjective contours.Bulletin of the Psychonomic Society,22, 433–466.
Hamsher, K. D. (1978). Stereopsis and the perception of anomalous contours.Neuropsychologia,16, 453–459.
Heitger, F., Rosenthaler, L., von der Heydt, R., Peterhans, E., &Kübler, O. (1992). Simulation of neural contour mechanisms: From simple to end-stopped cells.Vision Research,32, 963–978.
Heitger, F., &von der Heydt, R. (1993). A computational model of neural contour processing: Figure-ground segregation and illusory contours. InIEEE 4th International Conference on Computer Vision (pp. 32–40). Los Alamitos, CA: IEEE Computer Society Press.
Hershberger, W., &Stallard, S. (1984). Contrast variability lightens subjective figures.Perception & Psychophysics,36, 92–94.
Jory, M. K. (1987). Increment threshold in illusory contour line pattern. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 183–190). New York: Springer-Verlag.
Jory, M. K., &Day, R. H. (1979). The relationship between brightness contrast and illusory contours.Perception,8, 3–9.
Julesz, B. (1960). Binocular depth perception of computer-generated patterns.Bell Systems Technical Journal,39, 1125–1162.
Julesz, B., &Frisby, J. P. (1975). Some new subjective contours in random-line stereograms.Perception,4, 145–150.
Jung, R., &Spillman, L. (1970). Receptive-field estimation and perceptual integration in human vision. In F. A. Young & D. B. Lindsley (Eds.),Early experience and visual information processing in perceptual and reading disorders (pp. 181–197). Washington, DC: National Academy of Sciences.
Kanizsa, G. (1955). Margini quasi-percettivi in campi con stimulazione omogenea.Rivista di Psicologia,49, 7–30.
Kanizsa, G. (1974). Contours without gradients or cognitive contours?Italian Journal of Psychology,1, 107–123.
Kanizsa, G. (1976, April). Subjective contours.Scientific American,234, 48–52.
Kanizsa, G. (1979).Organization in vision: Essays on Gestalt perception. New York: Praeger.
Kanizsa, G. (1987). 1986 Addendum [to translated article]. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (p. 49). New York: Springer-Verlag.
Kaplan, G. A. (1969). Kinetic disruption of optical texture: The perception of depth at an edge.Perception & Psychophysics,6, 193–198.
Kellman, P. J., &Loukides, M. (1987). An object perception approach to static and kinetic subjective contours. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 151–164). New York: Springer-Verlag.
Kellman, P. J., &Shipley, T. F. (1991). A theory of visual interpolation in object perception.Cognitive Psychology,23, 141–221.
Kennedy, J. M. (1976). Sun figure: An illusory diffuse contour resulting from an arrangement of dots.Perception,5, 479–481.
Kennedy, J. M. (1978a). Illusory contours and the ends of lines.Perception,7, 605–607.
Kennedy, J. M. (1978b). Illusory contours not due to completion.Perception,7, 187–189.
Kennedy, J. M. (1979). Subjective contours, contrast, and assimilation. In C. F. Nodine & D. F. Fisher (Eds.),Perception and pictorial representation (pp. 167–195). New York: Praeger.
Kennedy, J. M. (1981). Illusory brightness and the ends of petals: Change in brightness without aid of stratification or assimilation effects.Perception,10, 583–585.
Kennedy, J. M. (1987). Lo, perception abhors not a contradiction. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 253–261). New York: Springer-Verlag.
Kennedy, J. M. (1988). Line endings and subjective contours.Spatial Vision,3, 151–158.
Kennedy, J. M., &Lee, H. (1976). A figure-density hypothesis and illusory contour brightness.Perception,5, 387–392.
Klymenko, V., &Weisstein, N. (1981). The motion-induced contour.Perception,10, 627–636.
Klymenko, V., &Weisstein, N. (1983). The edge of an event: Invariants of a moving illusory contour.Perception & Psychophysics,34, 140–148.
Klymenko, V., &Weisstein, N. (1984). The razor’s edge: A dichotomy between monohedral and dihedral edge perception.Vision Research,24, 995–1002.
Klymenko, V., &Weisstein, N. (1987). The resonance theory of kinetic shape perception and the motion-induced contour. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 143–148). New York: Springer-Verlag.
Klymenko, V., Weisstein, N., &Ralston, J. V. (1987). Illusory contours, projective transformations and kinetic shape perception.Acta Psychologica,64, 229–243.
Landauer, A. A. (1978). Subjective states and the perception of subjective contours. In J. P. Sutcliff (Ed.),Conceptual analysis and method in psychology: Essays in honour of W. M. O’Neil (pp. 142–146). Sydney: University Press.
Lawson, R. B., Cowan, E., Gibbs, T. D., &Whitmore, C. G. (1974). Stereoscopic enhancement and erasure of subjective contours.Journal of Experimental Psychology,103, 1142–1146.
Lesher, G. W. (1993).Neural networks for vision and pattern recognition: Boundary completion, spatial mapping, and multidimensional data fusion. Unpublished doctoral dissertation, Boston University.
Lesher, G. W., Grossberg, S., &Mingolla, E. (1994). Shared mechanisms for hyperacuity and illusory contours [Abstract].Investigative Ophthalmology & Visual Science,35, 2008.
Lesher, G. W., &Mingolla, E. (1993). The role of edges and line ends in illusory contour formation.Vision Research,33, 2253–2270.
Livingstone, M., &Hubel, D. (1988, May 6). Segregation of form, color, movement, and depth: Anatomy, physiology, and perception.Science,240, 740–749.
MacKinnon, G. E., Forde, J., &Piggins, D. J. (1969). Stabilized images, steadily fixated figures, and prolonged after-images.Canadian Journal of Psychology,23, 184–195.
Maguire, W. M., &Brown, J. M. (1987). The current state of research into visual phantoms. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 213–219). New York: Springer-Verlag.
Manjunath, B. S., &Chellappa, R. (1993). A unified approach to boundary perception: Edges, textures, and illusory contours.IEEE Transactions on Neural Networks,4, 96–108.
Mast, R., &Fox, R. (1994). Support ratios and subjective contour perception [Abstract].Investigative Ophthalmology & Visual Science,35, 2009.
Mather, G. (1988). Temporal properties of apparent motion in subjective figures.Perception,17, 729–736.
Meyer, G. E., &Dougherty, T. (1987). Effects of flicker-induced depth on chromatic subjective contours.Journal of Experimental Psychology: Human Perception & Performance,13, 353–360.
Meyer, G. E., &Fish, D. (1987). Illusory contours, texture segregation, and a configural inferiority effect. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 224–234). New York: Springer-Verlag.
Meyer, G. E., &Garges, C. (1979). Subjective contours and the Poggendorff illusion.Perception & Psychophysics,26, 302–304.
Meyer, G. E., &Ming, C. Y. (1988). The visible persistence of illusory contours.Canadian Journal of Psychology,42, 479–488.
Meyer, G. E., &Petry, S. (1987). Top-down and bottom-up: The illusory contour as a microcosm of issues in perception. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 3–20). New York: Springer-Verlag.
Minguzzi, G. F. (1987). Anomalous figures and the tendency to continuation. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 71–75). New York: Springer-Verlag.
Movshon, J. A., Chambers, B. E. I., &Blakemore, C. (1972). Interocular transfer in normal humans, and those who lack stereopsis.Perception,1, 483–490.
Mulvanny, P., Macarthur, R., &Sekuler, R. (1982). Thresholds for seeing visual phantoms and moving gratings.Perception,11, 35–46.
Mustillo, P., &Fox, R. (1986). The perception of illusory contours in the hypercyclopean domain.Perception & Psychophysics,40, 362–363.
Nakayama, K., Shimojo, S., &Ramachandran, V. S. (1990). Transparency: Its relation to depth, subjective contours, and neon color spreading.Perception,19, 497–513.
Paradiso, M. A., Shimojo, S., &Nakayama, K. (1989). Subjective contours, tilt aftereffects, and visual cortical organization.Vision Research,29, 1205–1213.
Parks, T. E. (1980). The subjective brightness of illusory figures: Is stratification a factor?Perception,9, 361–363.
Parks, T. E. (1981). Subjective figures: An infrequent, but certainly not unprecedented, effect.Perception,10, 589–590.
Parks, T. E. (1983). Further difficulties for the filtered-components approach to illusory visual contours.Perception & Psychophysics,34, 190–192.
Parks, T. E. (1984). Illusory figures: A (mostly) atheoretical review.Psychological Bulletin,95, 282–300.
Parks, T. E. (1985). Apparent depth and texture differences in illusory figure patterns: A paradox resolved.Perception & Psychophysics,37, 568–570.
Parks, T. E. (1986). Illusory figures, illusory objects, and real objects.Psychological Review,93, 207–215.
Parks, T. E. (1987). On the relative frequency of depth effects in real versus illusory figures.Perception & Psychophysics,42, 333–336.
Parks, T. E., &Marks, W. (1983). Sharp-edged vs. diffuse illusory circles: The effects of varying luminance.Perception & Psychophysics,33, 172–176.
Parks, T. E., &Pendergrass, L. (1982). On the filtered-components approach to illusory visual contours.Perception & Psychophysics,32, 491–493.
Parks, T. E., &Rock, I. (1990). Illusory contours from pictorially threedimensional inducing elements.Perception,19, 119–121.
Pastore, N. (1971).selective history of theories of visual perception: 1650–1950. new York: Oxford Univerity Press.
Pessoa, L.,Mingolla, E., &Neumann, H. (1994).A multi-scale network model of brightness perception (Tech. Rep. No. CAS/CNS-94-017). Boston University, Department of Cognitive & Neural Systems.
Peterhans, E., &von der Heydt, R. (1989). Mechanisms of contour perception in monkey visual cortex: II. Contours bridging gaps.Journal of Neuroscience,9, 1749–1763.
Peterhans, E., &von der Heydt, R. (1991). Elements of form perception in monkey prestriate cortex. In A. Gorea, Y. Fregnac, Z. Kapoula, & J. Findlay (Eds.),Representations of vision-Trends and tacit assumptions in vision research (pp. 1–12). Cambridge: Cambridge University Press.
Peterhans, E., von der Heydt, R., &Baumgartner, G. (1986). Neuronal responses to illusory contour stimuli reveal stages of visual cortical processing. In J. D. Pettigrew, K. J. Sanderson, & W. R. Levick (Eds.),Visual neuroscience (pp. 343–351). Cambridge: Cambridge University Press.
Petersik, J. T. (1987). Dependence of apparent movement of a subjective figure on the perceptual fate of inducing elements.Perception,16, 453–459.
Peterson, M. A., &Gibson, B. S. (1994). Object recognition contributions to figure-ground organization: Operations on outlines and subjective contours.Perception & Psychophysics,56, 551–564.
Petry, S., &Gannon, R. (1987). Time, motion, and objectness in illusory contours. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 193–200). New York: Springer-Verlag.
Petry, S., Harbeck, A., Conway, J., &Levey, J. (1983). Stimulus determinants of brightness and distinctness of subjective contours.Perception & Psychophysics,34, 169–174.
Petter, G. (1956). Nuove ricerche sperimentali sulla totalizzazione percettiva.Rivista di Psicologia,50, 213–227.
Pinna, B., &Sambin, M. (1991). A dynamic model for anomalous figures: The shape of line-induced brightness modifications.Perception,20, 219–232.
Pomerantz, J. R., Goldberg, D. M., Golder, P. S., &Tetewski, S. (1981). Subjective contours can facilitate performance in a reactiontime task.Perception & Psychophysics,29, 605–611.
Porac, C. (1978). Depth in objective and subjective contour patterns.Bulletin of the Psychonomic Society,11, 103–105.
Prazdny, K. (1983). Illusory contours are not caused by simultaneous brightness contrast.Perception & Psychophysics,34, 403–404.
Prazdny, K. (1985). On the nature of inducing forms generating perceptions of illusory contours.Perception & Psychophysics,37, 237–242.
Prazdny, K. (1986). Illusory contours from inducers defined solely by spatiotemporal correlation.Perception & Psychophysics,39, 175–178.
Predebon, J. (1985). Illusory contours and size illusions.Bulletin of the Psychonomic Society,23, 47–49.
Pritchard, W. S., &Warm, J. S. (1983). Attentional processing and the subjective contour illusion.Journal of Experimental Psychology: General,112, 145–175.
Purghé, F. (1988). The role of figural incompleteness and brightness contrast in the formation of anomalous surfaces.Perception,17, 365.
Purghé, F. (1991). Is amodal completion necessary for the formation of illusory figures?Perception,20, 623–636.
Purghé, F. (1993). Illusory contours from pictorially three-dimensional inducing elements: Counterevidence for Parks and Rock’s example.Perception,22, 809–818.
Purghé, F., &Coren, S. (1992a). Amodal completion, depth, stratification, and illusory figures: A test of Kanizsa’s explanation.Perception,21, 325–335.
Purghé, F., &Coren, S. (1992b). Subjective contours 1900–1990: Research trends and bibliography.Perception & Psychophysics,51, 291–304.
Purghé, F., &Katsaras, P. (1991). Figural conditions affecting the formation of anomalous surfaces: Overall configuration versus single stimulus part.Perception,20, 193–206.
Ramachandran, V. S. (1986a). Capture of stereopsis and apparent motion by illusory contours.Perception & Psychophysics,39, 361–373.
Ramachandran, V. S. (1986b). Capture of stereopsis by illusory contours: Reply to Prazdny.Nature,324, 393–394.
Ramachandran, V. S. (1987). Visual perception of surfaces: A biological theory. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 93–108). New York: Springer-Verlag.
Ramachandran, V. S., &Cavanagh, P. (1985). Subjective contours capture stereopsis.Nature,317, 527–530.
Ramachandran, V. S., Ruskin, D., Cobb, S., Rogers-Ramachandran, D., &Tyler, C. W. (1994). On the perception of illusory contours.Vision Research,34, 3145–3152.
Ratliff, F. (1965).Mach bands: Quantitative studies on neural networks in the retina. New York: Holden-Day.
Redies, C. (1989). Discontinuities along lines: Psychophysics and neurophysiology.Neuroscience & Biobehavioral Reviews,13, 17–22.
Redies, C., Crook, J. M., &Creutzfeldt, O. D. (1986). Neuronal responses to borders with and without luminance gradients in cat visual cortex and dorsal lateral geniculate nucleus.Experimental Brain Research,61, 469–481.
Redies, C., &Spillman, L. (1981). The neon color effect in the Ehrenstein illusion.Perception,10, 667–681.
Redies, C., Spillman, L., &Kunz, K. (1984). Colored neon flanks and line gap enhancement.Vision Research,24, 1301–1309.
Remole, A. (1970). Spatial characteristics of the border enhancement region in a flickering field.American Journal of Optometry,47, 779–786.
Remole, A., Ng, A. S. Y., Bathe, L. L., Padfield, P. D., Spafford, M. M., &Szymkiw, M. A. (1985). Flicker haloes observed with subjective borders.Perception,14, 31–40.
Reynolds, R. I. (1981). Perception of illusory contour as a function of processing time.Perception,10, 107–115.
Richardson, B. L. (1979). The nonequivalence of abrupt and diffuse illusory contours.Perception,8, 589–593.
Rock, I., &Anson, R. (1979). Illusory contours as the solution to a problem.Perception,8, 665–681.
Rowbury, C. R. (1982). A comment on Day and Jory’s note on a second stage in the formation of illusory contours.Perception & Psychophysics,31, 395–396.
Sajda, P., &Finkel, L. H. (1992a). Cortical mechanisms for surface segmentation. In F. Eeckman & J. Bower (Eds.),Computation and neural systems 1992 (p. 10). Boston: Kluwer.
Sajda, P., &Finkel, L. H. (1992b). Simulating biological vision with hybrid neural networks.Simulation,59, 47–55.
Sajda, P., &Finkel, L. H. (1995). Intermediate-level visual representations and the construction of surface perception.Journal of Cognitive Neuroscience,7, 267–291.
Salzman, B., &Halpern, D. F. (1982). Subjective towers: Depth relationships in multilevel subjective contours.Perceptual & Motor Skills,55, 1247–1256.
Sambin, M. (1981). Figure anomale: La polarizzazione intrafigurale delle parti inducenti.Giornale Italiano di Psicologia,8, 421–436.
Sambin, M. (1985). Figure anomale: La misura dell’ampiezza di una disomogeneità indotta. In W. Gerbino (Ed.),Conoscenza e struttura: Festschrift per Gaetano Kanizsa (pp. 437–452). Bologna: Il Mulino.
Sambin, M. (1987). A dynamic model of anomalous figures. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 131–142). New York: Springer-Verlag.
Schumann, F. (1900). Beiträge zur Analyse der Gesichtswahrnehmungen. Erste Abhandlung. Einige Beobachtungen über die Zusammenfassung von Gesichtseindruecken zu Einheiten.Zeitschrift für Psychologie und Physiologie der Sinnesorgane,23, 1–32.
Schumann, F. (1904). Einige Beobachtungen über die Zusammenfassung von Gesichtseindrücken zu Einheiten.Psychologische Studien,1, 1–32.
Scrivener, S. (1983). Two for the price of one.Perception,12, 769.
Shank, M. D., &Walker, J. T. (1989). Figure-ground organization in real and subjective contours: A new ambiguous figure, some novel measures of ambiguity, and apparent distance across regions of figure and ground.Perception & Psychophysics,46, 127–138.
Shapley, R., &Gordon, J. (1985). Nonlinearity in the perception of form.Perception & Psychophysics,37, 84–88.
Shapley, R. &Gordon, J. (1987). The existence of interpolated illusory contours depends on contrast and spatial separation. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 109–115). New York: Springer-Verlag.
Shipley, T. F., &Kellman, P. J. (1990). The role of discontinuities in the perception of subjective figures.Perception & Psychophysics,48, 259–270.
Shipley, T. F., &Kellman, P. J. (1992a). Perception of partly occluded objects and illusory figures: Evidence for an identity hypothesis.Journal of Experimental Psychology: Human Perception & Performance,18, 106–120.
Shipley, T. F., &Kellman, P. J. (1992b). Strength of visual interpolation depends on the ratio of physically specified to total edge length.Perception & Psychophysics,52, 97–106.
Shipley, T. F., &Kellman, P. J. (1994). Spatiotemporal boundary formation: Boundary, form, and motion perception from transformations of surface elements.Journal of Experimental Psychology: General,123, 3–20.
Siegel, S., &Petry, S. (1991). Evidence for independent processing of subjective contour brightness and sharpness.Perception,20, 233–241.
Simmonds, M. B. (1974). Stereopsis and subjective contours.Perception & Psychophysics,15, 401–404.
Smith, A. T., &Over, R. (1975). Tilt aftereffects with subjective contours.Nature,257, 581–582.
Smith, A. T., &Over, R. (1976). Color-selective tilt aftereffects with subjective contours.Perception & Psychophysics,20, 305–308.
Smith, A. T., &Over, R. (1977). Orientation masking and the tilt illusion with subjective contours.Perception,6, 441–447.
Smith, A. T., &Over, R. (1979). Motion aftereffect with subjective contours.Perception & Psychophysics,25, 95–98.
Soriano, M.,Spillman, L. A., &Bach, M. (1994).The abutting grating illusion. Manuscript submitted for publication.
Soubitez, M. C. (1982). Perceptual development of the Ehrenstein illusion in children [abstract].Perception,11, 33.
Spillman, L. A., Fuld, K., &Gerrits, H. J. M. (1976). Brightness contrast in the Ehrenstein illusion.Vision Research,16, 713–719.
Spillman, L. A., Fuld, K., &Neumeyer, C. (1984). Brightness matching, brightness cancellation, and increment threshold in the Ehrenstein illusion.Perception,13, 513–520.
Stadler, M., &Dieker, J. (1972). Untersuchungen zum Problem virtueller Konturen in der visuellen Wahrnehmung.Zeitschrift für Experimentelle und Angewandte Psychologie,19, 325–350.
Stappers, P. J. (1989). Forms can be recognized from dynamic occlusion alone.Perceptual & Motor Skills,68, 243–251.
Stevens, K. A. (1983). Evidence relating subjective contours and interpretations involving interposition.Perception,12, 491–500.
Takahashi, S. (1993). Microgenetic process of perception of subjective contour using “self-sufficient” inducing pattern.Perceptual & Motor Skills,77, 179–185.
Tyler, C. W. (1977). Is the illusory triangle physical or imaginary?Perception,6, 603–604.
Tynan, P., &Sekuler, R. (1978, May 30). Moving visual phantoms: A new contour completion effect.Science,188, 951–952.
Ullman, S. (1976). Filling-in the gaps: The shape of subjective contours and a model for their generation.Biological Cybernetics,25, 1–6.
Vallortigara, G. (1987). The hidden face of Kanizsa’s triangle: Apparent movement of subjective figures in three-dimensional space.Perception,16, 449–452.
Vallortigara, G., Bressan, P., &Zanforlin, M. (1986). The Saturn illusion: A new stereokinetic effect.Vision Research,26, 811–813.
van Tuijl, H. F. J. M. (1975). A new visual illusion: Neonlike color spreading and complementary color induction between subjective contours.Acta Psychologica,39, 441–445.
van Tuijl, H. F. J. M., &de Weert, C. M. M. (1979). Sensory conditions for the occurrence of the neon spreading illusion.Perception,8, 211–215.
van Tuijl, H. F. J. M., &Leeuwenberg, E. L. J. (1979). Neon color spreading and structural information measures.Perception & Psychophysics,25, 269–284.
van Tuijl, H. F. J. M., &Leeuwenberg, E. L. J. (1982). Peripheral and central determinants of subjective contour strength. In H. G. Geissler & P. Petzold (Eds.),Psychophysical judgment and the process of perception (pp. 114–131). New York: North-Holland.
Varin, D. (1971). Fenomeni di contrasto e diffusione cromatica nell’organizzazione spaziale del campo percettivo.Revista di Psicologia,65, 101–128.
Vogels, R., &Orban, G. A. (1987). Illusory contour orientation discrimination.Vision Research,27, 453–467.
von der Heydt, R., &Peterhans, E. (1989a). Cortical contour mechanisms and geometrical illusions. In D. M. Lam & C. D. Gilbert (Eds.),Neural mechanisms of visual perception (pp. 157–170). The Woodlands, TX: Portfolio Publishing.
von der Heydt, R., &Peterhans, E. (1989b). Mechanisms of contour perception in monkey visual cortex: I. Lines of pattern discontinuity.Journal of Neuroscience,9, 1731–1748.
von der Heydt, R., Peterhans, E., &Baumgartner, G. (1984, June 15). Illusory contours and cortical neuron responses.Science,224, 1260–1262.
von Grünau, M. W. (1979). The involvement of illusory contours in stroboscopic motion.Perception & Psychophysics,25, 205–208.
Walker, J. T., &Shank, M. D. (1987). The Bourdon illusion in subjective contours.Perception & Psychophysics,42, 15–24.
Walker, J. T., &Shank, M. D. (1988a). Interactions between real and subjective contours in the Bourdon illusion.Perception & Psychophysics,43, 567–574.
Walker, J. T., &Shank, M. D. (1988b). Real and subjective lines and edges in the Bourdon illusion.Perception & Psychophysics,43, 475–484.
Wallach, H., &Slaughter, V. (1988). The role of memory in perceiving subjective contours.Perception & Psychophysics,43, 101–106.
Ware, C., &Kennedy, J. M. (1977). Illusory line linking solid rods.Perception,6, 601–602.
Ware, C., &Kennedy, J. M. (1978a). Perception of subjective lines, surfaces and volumes in 3-dimensional constructions.Leonardo,11, 111–114.
Ware, C., &Kennedy, J. M. (1978b). The phenomenon of subjective contours.Leonardo,11, 348.
Warm, J. S., Dember, W. N., Padich, R. A., Beckner, J., &Jones, S. (1987). The role of illumination level in the strength of subjective contours. In S. Petry & G. E. Meyer (Eds.),The perception of illusory contours (pp. 176–182). New York: Springer-Verlag.
Wasserstein, J., Zappulla, R., Rosen, J., &Gerstman, L. (1987). In search of closure: Subjective contour illusions, Gestalt completion tests, and implications.Brain & Cognition,6, 1–14.
Watanabe, T., &Oyama, T. (1988). Are illusory contours a cause or a consequence of apparent differences in brightness and depth in the Kanizsa square?Perception,17, 513–521.
Watanabe, T., &Sato, T. (1989). Effects of luminance contrast on color spreading and illusory contour in the neon color spreading effect.Perception & Psychophysics,45, 427–430.
Watanabe, T., &Takeichi, H. (1990). The relation between color spreading and illusory contours.Perception & Psychophysics,47, 457–467.
Weisstein, N., Maguire, W., &Berbaum, K. (1977, December 2). A phantom-motion aftereffect.Science,198, 955–958.
Wenderoth, P., Criss, G., &van der Zwan, R. (1990). Determinants of subjective contour: Bourdon illusions and “unbending” effects.Perception & Psychophysics,48, 497–508.
Whitmore, C. L. G., Lawson, R. B., &Kozora, C. E. (1976). Subjective contours in stereoscopic space.Perception & Psychophysics,19, 211–213.
Zanforlin, M., &Vallortigara, G. (1990). The magic wand: A new stereokinetic anomalous surface.Perception,18, 410.
Zeki, S. M., &Shipp, S. D. (1988). The functional logic of cortical connections.Nature,335, 311–317.
Zucker, S. W., &Davis, S. (1988). Points and endpoints: A size/spacing constraint for dot grouping.Perception,17, 229–247.
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I would like to thank Ennio Mingolla of Boston University for generously providing many helpful comments and suggestions during the development of this review.
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Lesher, G.W. Illusory contours: Toward a neurally based perceptual theory. Psychon Bull Rev 2, 279–321 (1995). https://doi.org/10.3758/BF03210970
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DOI: https://doi.org/10.3758/BF03210970