Abstract
University of Wisconsin-Whitewater, Whitewater, Wisconsin Standard descriptions of visual spatial experiences, especially illusions, create destructive paradoxes because, along with the perceived distance variable (D’), they use only one “perceived size” variable (S′) in the equation S′/D′ = V′ rad, to describe perception of a target’s linear size, S m, its distance, D m, from the eye, and the visual angle, V deg, its outer edges subtend at the eye. Simple paradoxes vanish in descriptions using the different equation, S’/D’ = V’ rad, which adds the perceived visual angle variable, V′ rad. Redefining classic illusions as illustrations primarily of misperceived direction difference (V) values removes the pseudoparadoxes that have made Extant explanations of illusions seem unsatisfactory.
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References
Anstis, S. M. (1974). Size adaptation to visual texture and print: Evidence for spatial frequency analysis.American Journal of Psychology,87, 261–267.
Attneave, F., &Pierce, C. R. (1978). Accuracy of extrapolating a pointer into perceived and imagined space.American Journal of Psychology,91, 371–387.
Auerbach, C, &Sperling, P. (1974). A common auditory-visual space: Evidence for its reality.Perception & Psychophysics,16, 129–135.
Baird, J. C. (1968). Toward a theory of frontal size judgments.Perception & Psychophysics,4, 49–53.
Baird, J. C. (1970).Psychophysical analysis of visual space. Oxford, London: Pergamon Press.
Baird, J. C. (1982). The moon illusion: II. A reference theory.Journal of Experimental Psychology: General,111, 304–315.
Barbeito, R., &Ono, H. (1979). Four methods of locating the egocenter: A comparison of the predictive validities and reliabilities.Behavior Research Methods & Instrumentation,11, 31–36.
Bennett, A. G., &Francis, J. L. (1962). Visual optics. In H. Davson (Ed.),The eye (Vol. 4, Pt. 1, pp. 3–208). New York: Academic Press.
Biersdorf, W. R. (1966). Convergence and apparent distance as correlates of size judgments at near distances.Journal of General Psychology,75, 249–264.
Blakemore, C, Nachmias, J., &Sutton, P. (1970) The perceived spatial frequency shift: Evidence for frequency selective neurones in the human brain.Journal of Physiology,210, 727–750.
Blakemore, C, &Sutton, P. (1969). Size adaptation.A new aftereffect. Science,166, 245–247.
Bolles, R. C. &Bailey, D. E. (1956). Importance of object recognition in size constancy.Journal of Experimental Psychology,51, 222–225.
Boring, E. G. (1952). Visual perception as invariance.Psychological Review,59, 141–148.
Brunswik, E. (1944). Distal focussing of perception: Size constancy in a representative sample of situations.Psychological Monographs, Whole No. 254.
Campbell, F. W., &Maffei, L. (1970). Electrophysiological evidence for the existence of orientation and size detectors in the human visual system.Journal of Physiology,207, 635–652.
Carlson, V. R. (1977). Instructions and perceptual constancy judgments. In W. Epstein (Ed.),Stability and constancy in visual perception: Mechanisms and processes (pp. 217–254). New York: Wiley.
Coltheart, M. (1969). The influence of haptic size information upon visual judgments of absolute distance.Perception & Psychophysics,5, 143–144.
Coltheart, M. (1970). The effect of verbal size information upon visual judgments of absolute distance.Perception & Psychophysics,9, 222–223,
Coren, S., &Girgus, J. S. (1977). Illusions and constancies. In W. Epstein (Ed.),Stability and constancy in visual perception. Mechanisms and processes (pp. 255–283). New York: Wiley.
Coren, S., &Girgus, J. S. (1978).Seeing is deceiving. The psychology of visual illusions. New York: Halstead.
Day, R. H. (1972). Visual spatial illusions: A general explanation.Science,175, 1335–1340.
Day, R. H., &McKenzie, B. E. (1977). Constancies in the perceptual world of the infant. In W. Epstein (Ed.),Stability and constancy in visual perception: Mechanisms and processes (pp. 285–320). New York: Wiley.
Epstein, W. (1973) The process of ’taking into account’ in visual perception.Perception,2, 267–285.
Epstein, W (1977a). Historical introduction to the constancies In W Epstein (Ed.),Stability and constancy in visual perception: Mechanisms and processes (pp. 1–22). New York: Wiley.
Epstein, W. (1977b). Observations concerning the contemporary analysis of the perceptual constancies. In W. Epstein (Ed.),Stability and constancy in visual perception: Mechanisms and processes (pp. 437–447) New York: Wiley.
Epstein, W., Park, J., &Casey, A. (1961). The current status of the size-distance hypothesis.Psychological Bulletin,58, 491–514.
Festinger, L., Burnham, C. A., Ono, H., & Bamber, D. (1967). Efference and the conscious experience of perception.Journal of Experimental Psychology Monograph, 74(4, Whole No. 637).
Festinger, L., White, C. W., &Allyn, M. R. (1968). Eye movements and decrement in the Mueller-Lyer illusion.Perception & Psychophysics,3, 376–382.
Fisher, G. H. (1971). Geometrical illusions and figurai after-effects: The mechanism and its location.Vision Research,11, 289–309.
Fitzpatrick, V., Pasnak, R., &Tyer, Z E. (1982). The effect of familiar size at familiar distance.Perception & Psychophysics,11, 85–91
Foley, J. M. (1965). Visual space: A scale of perceived relative direction.American Psychological Association Proceedings,1, 49–50.
Ganz, L. (1966a). Is the figurai aftereffect anaftereffect?Psychological Bulletin,66, 151–165.
Ganz, L. (1966b) Mechanisms of the figurai aftereffects.Psychological Review,73, 128–150.
Gibson, J. J. (1950).The perception of the visual world. Boston: Houghton-Mifflin.
Gibson, J. J. (1952). The visual field and the visual world: A reply to Professor Boring.Psychological Review,59, 149–151.
Gibson, J. J. (1971). The information available in pictures.Leonardo,4, 27–35.
Gibson, J. J. (1979).The ecological approach to visual perception. Boston: Houghton-Mifflin.
Gilinsky, A. (1951). Perceived size and distance in visual space.Psychological Review,58, 460–482.
Gogel, W. C. (1963). The visual perception of size and distance.Vision Research,3, 101–120.
Gogel, W. C. (1965). Equidistance tendency and its consequences.Psychological Bulletin,64, 153–163.
Gogel, W. C. (1969). The sensing of retinal size.Vision Research,9, 1079–1094.
Gogel, W. C. (1971). The validity of the size-distance invariance hypothesis with cue reduction.Perception & Psychophysics,9, 92–94.
Gogel, W. C. (1977). The metric of visual space. In W. Epstein (Ed.),Stability and constancy in visual perception: Mechanisms and processes (pp. 129–181). New York: Wiley.
Gregory, R. L. (1963). Distortion of visual space as inappropriate constancy scaling.Nature,199, 678–680.
Gregory, R. L. (1970).The intelligent eye. New York: McGraw-Hill.
Gregory, R. L. (1975). Illusion destruction by appropriate scaling.Perception,4, 203–220.
Haber, R. N. (1980). Perceiving space from pictures: A theoretical analysis. In M. A. Hagen (Ed.),What then are pictures? The psychology of representational art (Vol. 1, pp. 3–31). New York: Academic Press.
Hagen, M. A. (1974). Picture perception: Toward a theoretical model.Psychological Bulletin,81, 471–497.
Hastorf, A. H. (1950). The influence of suggestion on the relationship between stimulus size and perceived distance.Journal of Psychology,29, 195–217.
Heinemann, E. G., Tulving, E., &Nachmias, J. (1959). The effect of oculomotor adjustments on apparent size.American Journal of Psychology,72, 32–45.
Helmholtz, H Von. (1962)Treatise on physiological optics (Vol. 3) (J. P. C. Southhall, Ed. and Trans.). New York: Dover. (Original work published 1910)
Hering, E. (1942),Spatial sense and movements of the eye (C. Radde, Trans ). Baltimore: American Academy of Optometry. (Original work published 1879)
Hershenson, M. (1982). Moon illusion and spiral aftereffect: Illusions due to the loom-zoom system?Journal of Experimental Psychology: General,111, 423–440
Hochberg, J. (1974). Higher-order stimuli and inter-response coupling in the perception of the visual world. In R. B. MacLeod & H. L. Pick, Jr. (Eds.),Perception: Essays in honor of James J. Gibson (pp. 17–39). Ithaca, NY: Cornell University Press.
Holway, A. H., &Boring, E. G. (1941). Determinants of apparent visual size with distance variant.American Journal of Psychology,54, 21–37.
Ittelson, W. H. (1960).Visual space perception. New York: Springer.
Jaeger, T. (1978). Ebbinghaus illusions: Size contrast or contour interaction phenomena?Perception & Psychophysics,24, 337–342.
Johansson, G. (1977). Spatial constancy and motion in visual perception. In W. Epstein (Ed.),Stability and constancy in visual perception: Mechanisms and processes (pp. 375–419). New York: Wiley.
Joynson, R. B. (1949). The problem of size and distance.Quarterly Journal of Experimental Psychology,1, 119–135.
Joynson, R. B. (1958a). An experimental synthesis of the associationist and Gestalt accounts of the perception of size: Part 1.Quarterly Journal of Experimental Psychology,10, 65–76.
Joynson, R. B. (1958b). An experimental synthesis of the associationist and Gestalt accounts of the perception of size: Part 2.Quarterly Journal of Experimental Psychology,10, 142–154
Joynson, R. B., &Kirk, N. S. (1960) An experimental synthesis of the associationist and Gestalt accounts of the perception of size: Part 3.Quarterly Journal of Experimental Psychology,12, 221–230.
Kilpatrick, F. P., &Ittelson, W. H. (1953). The size-distance invariance hypothesis.Psychological Review,60, 223–231.
Koffka, K. (1935).Principles of Gestalt psychology New York. Harcourt-Brace.
Komoda, M. K., Festinger, L., &Sherry, J. (1977). The accuracy of two-dimensional saccades in the absence of continuing retinal stimulation.Vision Research,17, 1231–1232.
Komoda, M. K., &Ono, H. (1974). Oculomotor adjustments and sizedistance perceptionPerception & Psychophysics,15, 353–360.
Kosslyn, S. M., Ball, T. M., &Reiser, B. J. (1978). Visual images preserve metric spatial information: Evidence from studies of imagery scanning.Journal of Experimental Psychology: Human Perception and Performance,4, 47–60.
Massaro, D. W., &Anderson, N. H. (1971). Judgmental model of the Ebbinghaus illusion.Journal of Experimental Psychology,89, 147–151.
McCready, D (1964). Visual acuity under conditions that induce size illusions.Dissertation Abstracts International,24, 5573.
McCready, D. (1965). Size-distance perception and accommodation-convergence micropsia: A critique.Vision Research,5, 189–206.
McCready, D. (1983).Moon illusions and other visual illusions re-defined. (Psychology Department Report). Whitewater: University of Wisconsin.
O’Leary, A., &Wallach, H. (1980). Familiar size and linear perspective as distance cues in stereoscopic depth constancy.Perception & Psychophysics,27, 131–135.
Ono, H. (1966). Distal and proximal size under reduced and non-reduced viewing conditions.American Journal of Psychology,79, 234–241.
Ono, H. (1969). Apparent distance as a function of familiar size.Journal of Experimental Psychology,79, 109–115.
Ono, H. (1970). Some thoughts on different perceptual tasks related to size and distance. In J. C. Baird (Ed.), Human space perception-Proceedings of the Dartmouth conference.Psychonomic Monograph Supplement, 3(13, Whole No. 45) pp. 143-151.
Ono, H. (1979). Axiomatic summary and deductions from Hering’s principles of visual direction.Perception & Psychophysics,25, 473–477.
Ono, H. (1981). On Well’s (1792) law of visual direction.Perception & Psychophysics,30, 403–406.
Ono, H., &Barbeito, R. (1982). The cyclopean eye vs. the sighting dominant eye as the center of visual direction.Perception & Psychophysics,32, 201–210.
Ono, H., Muter, P., &Mitson, L. (1974). Size-distance paradox with accommodative micropsia.Perception & Psychophysics,15, 301–307.
Over, R. (1968). Explanations of geometrical illusions.Psychological Bulletin,70, 545–562.
Oyama, T. (1977a). Analysis of causal relations in the perceptual constancies. In W. Epstein (Ed.),Stability and constancy in visual perception: Mechanisms and processes (pp. 183–216). New York: Wiley.
Oyama, T. (1977b) Feature analysers, optical illusions and figurai aftereffects.Perception,6, 401–406.
PINKER, S. (1980). Mental imagery and the third dimension.Journal of Experimental Psychology: General,109, 354–371.
POSNER, M. (1980) Orienting of attention.Quarterly Journal of Experimental Psychology,32, 3–25.
PRESSEY, A.W. (1972). The assimilation theory of geometric illusions: An additional postulate.Perception & Psychophysics,11, 28–30.
REMINGTON, R. W. (1980). Attention and saccadic eye movements.Journal of Experimental Psychology: Human Perception and Performance,6, 726–744.
RESTLE, F. (1970). Moon illusion explained on the basis of relative size.Science,167, 1092–1096.
RESTLE, F. (1971). Visual illusions. In M. H. Appley (Ed.),Adaptation level theory (pp. 55–69). New York: Academic Press.
RESTLE, F. (1978). Relativity and organization in visual size judgments. In E. L. J. Leeuwenberg & H. F. J M. Buffart (Eds).Formal the-ories of visual perception (pp. 247–263). New York: Wiley.
Restle, F., &Merryman, C. T. (1968). An adaptation-level theory of a relative-size illusion.Psychonomic Science,12, 229–230.
Richards, W. (1967). Apparent modifiability of receptive fields during accommodation and convergence and a model for size constancy.Neuropsychologia,5, 63–72.
Richards, W. (1971). Size-distance transformations. In O. J. Grusser & R. Klinke (Eds.),Pattern recognition in biological and technical systems (pp. 276–287). Berlin: Springer-Verlag.
Rock, I. (1977). In defense of unconscious inference. In W Epstein (Ed.),Stability and constancy in visual perception: Mechanisms and processes (pp 321–373). New York: Wiley.
ROCK, I. (1983).The logic of perception. Cambridge, MA: M.I.T Press.
Rock, I., &Kaufman, L. (1962). The moon illusion, II.Science,136, 1023–1031.
Rock, I., &Mcdermott, W. (1964). The perception of visual angle.Acta Psychologica,22, 119–134.
Rock, I., Shallo, J., &Schwartz, F. (1978). Pictorial depth and related constancy effects as a function of recognition.Perception,7, 3–19.
Roelofs, C. O. (1959). Considerations on the visual egocentreActa Psychologica,16, 226–234.
Saltzman, D. C., &Garner, W. R. (1950). Accuracy of visual estimation of azimuth position.Journal of Psychology,29, 453–467
Schlosberg, H. (1950) A note on depth perception, size constancy, and related topics.Psychological Review,57, 314–317.
Shebilske, W. L. (1977). Visuomotor coordination in visual direction and position constancies. In W. Epstein (Ed.),Stability and constancy in visual perception: Mechanisms and processes (pp. 23–69). New York: Wiley.
Shulman, G. L., Remington, R. W., &Mclean, J. P. (1979). Moving attention through visual space.Journal of Experimental Psychology: Human Perception and Performance,5, 522–526.
Singer, F A, Tyer, Z. E., &Pasnak, R. (1982). Assumed distance as a determinant of apparent size.Perception & Psychophysics.19, 267–268.
Taylor, J. G. (1962).The behavioral basis of perception. New Haven: Yale University Press.
Walker, E. H. (1973). A mathematical theory of optical illusions and figurai aftereffects.Perception & Psychophysics,13, 467–486.
Weintraub, D. J. (1979). Ebbinghaus illusion: Context, contour and age influence the judged size of a circle amidst circles.Journal of Experimental Psychology: Human Perception and Performance,5, 353–364.
Weintraub, D. J., &Gardner, G. T (1970). Emmert’s laws: Size constancy versus optical geometry.American Journal of Psychology,83, 40–54.
Wende Roth, P (1976). The contribution of relational factors to line-length matches.Perception,5, 265–278.
Woodworth, R. S., &Schlosberg, H. (1954).Experimental Psychology (2nd ed.). New York: Holt.
Yarbus, A. L (1967).Eye movements and vision. New York: Plenum.
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McCready, D. On size, distance, and visual angle perception. Perception & Psychophysics 37, 323–334 (1985). https://doi.org/10.3758/BF03211355
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DOI: https://doi.org/10.3758/BF03211355