Abstract
The much larger appearance of the moon near horizon than the perceived size of the moon at zenith has motivated many scientists to develop theories that aim at explaining this puzzling phenomenon. Considering that the size of retinal images of the moon in these positions are very similar, the explanation of difference in their apparent sizes has relied on perceptual cues of distance embedded in the retinal image of their respective contexts. Although this account of the moon illusion is quite popular, it does not explain all aspects of this phenomenon. The theoretical formulation of the moon illusion based on other factors such as size contrast later may have had some advantages but has also created some new problems. Although the moon is perceived in a three-dimensional (3D) environment, the present analysis proposes that an explanation of the moon illusion based on two-dimensional (2D) cues can remove some of the unnecessary problems. The empty space and size contrast that have already been considered in explaining classic geometric-optical illusions play a parallel role in explaining the moon illusion. In other words, the role of open space in interaction with the image of the moon and different objects near horizon, all reflected on the retina, are considered as the main explaining factors. The advantages of this approach will be discussed and some of the facts pertaining to the moon illusion will be explained within this theoretical framework.
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References
Armstrong, D.M. (1960). Berkeley’s theory of vision: a critical. Examination of Bishop Berkeley’s Essay towards a new theory of vision.
Baird, J. C., Wagner, M., & Fuld, K. (1990). A simple but powerful theory of the moon illusion. Journal of Experimental Psychology: Human Perception and Performance, 16(3), 675–677.
Baird, J. C. (1982). The moon illusion: II. A reference theory. Journal of Experimental Psychology: General, 111(3), 304.
Baird, J. C., & Wagner, M. (1982). The moon illusion: I. How high is the sky? Journal of Experimental Psychology: General, 111(3), 296.
Boring, E. G. (1943). The moon illusion. American Journal of Physics, 11(2), 55–60.
Cretenoud, A. F., Karimpur, H., Grzeczkowski, L., Francis, G., Hamburger, K., & Herzog, M. H. (2019). Factors underlying visual illusions are illusion-specific but not feature-specific. Journal of Vision, 19(14), 12–12.
Coren, S., & Enns, J. T. (1993). Size contrast as a function of conceptual similarity between test and inducers. Perception & Psychophysics, 54(5), 579–588.
Coren, S., Girgus, J. S., Erlichman, H., & Hakstian, A. R. (1976). An empirical taxonomy of visual illusions. Perception & Psychophysics, 20(2), 129–137.
Coren, S., & Miller, J. (1974). Size contrast as a function of figural similarity. Perception & Psychophysics, 16(2), 355–357.
Egan, F. (1998). The moon illusion. Philosophy of Science, 65(4), 604–623.
Enright, J. T. (1989). The eye, the brain, and the size of the moon: toward a unified oculomotor hypothesis. In H. Hershenson (Ed.), The Moon Illusion (pp. 59–121). Hillsdale, NJ: Lawrence Erlbaum & Associates.
Enright, J. T. (1987). Art and the oculomotor system: Perspective illustrations evoke vergence changes. Perception, 16, 731–746.
Enright, J. T. (1975). The moon illusion examined from a new point of view. Proceedings of the American Philosophical society, 119(2), 87–107.
Fellows, B. J. (1968). The reverse Müller-Lyer illusion and ‘enclosure’. British Journal of Psychology, 59(4), 369–372.
Fellows, B. J. (1967). Reversal of the Müller-Lyer illusion with changes in the length of the inter-fins line. Quarterly Journal of Experimental Psychology, 19(3), 208–214.
Gilinsky, A. S. (1980). The paradoxical moon illusions. Perceptual and Motor Skills, 50(1), 271–228.
Gogel, W. C. (1970). The adjacency principle and three-dimensional visual illusions. Psychonomic Monograph Supplement, 3(Whole No.45), 153–169.
Gregory, R. L. (1970). The Intelligent Eye. New York: McGraw-Hill.
Gregory, R. L. (1968). Visual illusions. Scientific American, 219(5), 66–79.
Holway, A. H., & Boring, E. G. (1940). The apparent size of the moon as a function of the angle of regard: Further experiments. American Journal of Psychology, 53, 537–553.
Holway, A. H., & Boring, E. G. (1940b). The moon illusion and the angle of regard. The American Journal of Psychology, 53(1), 109–116.
Kaufman, L., Vassiliades, V., Noble, R., Alexander, R., Kaufman, J., & Edlund, S. (2007). Perceptual distance and the moon illusion. Spatial Vision, 20, 155–175.
Kaufman, L., & Kaufman, J. H. (2000). Explaining the moon illusion. Proceedings of the National Academy of Sciences, 97(1), 500–505.
Kaufman, L., & Rock, I. (1962). The moon illusion, I. Science, 136, 953–961.
Knol, H., Huys, R., Sarrazin, J. C., & Jirsa, V. K. (2015). Quantifying the Ebbinghaus figure effect: Target size, context size, and target-context distance determine the presence and direction of the illusion. Frontiers in Psychology, 6, 1679.
Kovacs, Z., Udvarnoki, Z., Papp, E., & Horvath, G. (2021). Psychophysical study of the moon illusion in paintings and landscape photos. Proceedings of the Royal Society A, 477(2245), 20200737. https://doi.org/10.1098/rspa.2020.0737
Massaro, D. W. (1989). Experimental psychology: an information Processing Approach. New York: Harcourt Brace Jovanovich.
Massaro, D. W., & Anderson, N. H. (1971). Judgmental model of the Ebbinghaus illusion. Journal of Experimental Psychology, 89(1), 147.
McCready, D. (1985). On size, distance, and visual angle perception. Perception & Psychophysics, 37(4), 323–334.
Nemati, F. (2009). Size and direction of distortion in geometric-optical illusions: conciliation between the Müller-Lyer and titchener configurations. Perception, 38(11), 1585–1600.
Plug, C., & Ross, H. E. (1994). The natural moon illusion: A multifactor angular account. Perception, 23(3), 321–333.
Predebon, J. (1992). Framing effects and the reversed Müller-Lyer illusion. Perception & Psychophysics, 52(3), 307–314.
Restle, F. (1970). Moon illusion explained on the basis of relative size. Science, 167(3921), 1092–1096.
Robinson, J. O. (1998). The psychology of visual illusion. London: Hutchinson.
Rock, I., & Kaufman, L. (1962). The moon illusion, II: The moon’s apparent size is a function of the presence or absence of terrain. Science, 136(3521), 1023–1031.
Roscoe, S. N. (1989). The zoom-lens hypothesis. In H. Hershenson (Ed.), The Moon Illusion (pp. 31–57). Hillsdale, NJ: Lawrence Erlbaum & Associates.
Ross, H., & Cowie, A. (2010). The moon illusion in children’s drawings. International Journal of Arts and Technology, 3, 275–287.
Ross, H. E., & Plug, C. (2002). The mystery of the moon illusion: Exploring size perception. Oxford University Press.
Ross, H. E., & Ross, G. M. (1976). Did Ptolemy understand the moon illusion? Perception, 5, 377–385.
Smith, O. W., Smith, P. C., Geist, C. C., & Zimmermann, R. R. (1978). Apparent size contrasts of retinal images and size constancy as determinants of the moon illusion. Perceptual and Motor Skills, 46(3), 803–808.
Suzuki, K. (2007). The moon illusion: Kaufman and Rock’s (1962) apparent-distance theory reconsidered 1. Japanese Psychological Research, 49(1), 57–67.
Suzuki, K. (1991). Moon illusion simulated in complete darkness: Planetarium experiment reexamined. Perception and Psychophysics, 49, 349–354.
Suzuki, K. (1984). Projected afterimages and the moon illusion. Paper presented at the 3rd Convention of the Japanese Psychonomic Society, Sophia University, Tokyo.
Taylor, D. W., & Boring, E. G. (1942). The moon illusion as a function of binocular regard. American Journal of Psychology, 55, 189–201.
Weidner, R., Plewan, T., Chen, Q., Buchner, A., Weiss, P. H., & Fink, G. R. (2014). The moon illusion and size–distance scaling—evidence for shared neural patterns. Journal of cognitive neuroscience, 26(8), 1871–1882. https://doi.org/10.1162/jocn_a_00590
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Nemati, F. The Role of Size Contrast and Empty Space in the Explanation of the Moon Illusion. Found Sci (2022). https://doi.org/10.1007/s10699-022-09889-3
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DOI: https://doi.org/10.1007/s10699-022-09889-3