A mathematical model for assimilation and contrast in the perception of extent is presented, and predictions generated from the model are empirically tested. Implications of the model for the Müller-Lyer illusion are dealt with explicitly, and implications of the model for the Delboeuf, Ebbinghaus, and other illusions of extent are discussed in general terms.
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References
1.
v. BékésyG.Neural inhibitory units of the eye and skin: Quantitative description of contrast phenomena. J. Opt. Soc. Amer., 1960, 50, 1060–1070.
2.
BrignerW. L.Theoretical model for lateral inhibitory interaction in the human retina. Percept. mot. Skills, 1969, 28, 119–142.
3.
BrignerW. L.KauffmanI. M.A correlate to Mach bands in perception of extent. Percept. mot. Skills, 1974, 38, 919–932.
4.
CampbellF. W.CooperG. F.Enroth-CugellC.The spatial selectivity of the visual cells of the cat. J. Physiol., 1969, 203, 223–235.
5.
CooperL. A.WeintraubD. J.Delboeuf-type circle illusions: Interactions among luminance, temporal characteristics, and inducing-figure variations. J. exp. Psychol., 1970, 85, 75–82.
6.
DayR. H.Visual spatial illusions: A general explanation. Science, 1972, 175, 1335–1340.
7.
ErlebacherA.SekulerR.Explanation of the Müller-Lyer illusion: Confusion theory examined. J. exp. Psychol., 1969, 80, 462–467.
8.
FiorentiniA.RadiciT.Brightness, width and position of Mach bands as a function of the rate of variation of the luminance gradient. Atti Fond. Giorgi Ronchi, 1958, 13, 145–155.
9.
GanzL.Mechanism of figural aftereffects. Psychol. Rev., 1966, 73, 128–150.
10.
GirgusJ. S.CorenS.AgdernM.The interrelationship between the Ebbinghaus and Delboeuf illusions. J. exp. Psychol., 1972, 95, 453–455.
11.
HartlineH. K.RatliffF.Inhibitory interaction of receptor units in the eye of Limulus. J. gen. Physiol., 1957, 40, 357–376.
12.
HartlineH. K.RatliffF.Spatial summation of inhibitory influences in the eye of Limulus and the mutual interaction of receptor units. J. gen. Physiol., 1958, 41, 1049–1066.
13.
HelsonH.Adaptation level theory. New York: Harper & Row, 1964.
14.
HeymansG.Quantitative Untersuchungen über das “optische Paradoxen.”Z. Psychol., 1895–1896, 9, 221–255.
15.
HubelD. H.WieselT. N.Receptive fields, binocular interaction and functional architecture in the cat's visual cortex. J. Physiol., 1962, 160, 106–154.
LashleyK. S.The problem of cerebral organization in vision. Biol. Symp., 1942, 7, 301–321.
18.
LewisE. O.Confluxion and contrast effects in the Müller-Lyer illúsion. Brit. J. Psychol., 1909, 3, 21–41.
19.
MachE.On the effect of the spatial distribution of the light stimulus on the retina. In RatliffF., Mach bands. San Francisco: Holden-Day, 1965. Pp. 253–271.
20.
MassaroD. W.AndersonN. H.Judgmental model of the Ebbinghaus illusion. J. exp. Psychol., 1971, 89, 147–151.
21.
MilnerP. M.Physiological psychology. New York: Holt, Rinehart & Winston, 1970.
22.
O'BrienV.Contour perception, illusion and reality. J. Opt. Soc. Amer., 1958, 48, 112–119.
23.
OyamaT.Japanese studies on the so-called geometrical-optical illusions. Psychologia, 1960, 3, 7–20.
24.
PiagetJ.v. AlbertiniB.Recherches sur le developpement des perceptions: L'illusion de Müller-Lyer. Arch. de Psychol., 1950, 33, 1–48.
25.
PollackR. H.Simultaneous and successive presentation of elements of the Müller-Lyer figure and chronological age. Percept. mot. Skills, 1964, 19, 303–310.
26.
RatliffF.Mach bands: Quantitative studies on neural networks in the retina. San Francisco: Holden-Day, 1965.
27.
RatliffF.HartlineH. K.The response of Limulus optic nerve fibers to patterns of illumination on the receptor mosaic. J. gen. Physiol., 1959, 42, 1241–1255.
28.
RestleF.Moon illusion explained on the basis of relative size. Science, 1970, 167, 1092–1096.
29.
RodieckR. W.StoneJ.Analysis of receptive fields of cat retinal ganglion cells. J. Neurophysiol., 1965, 28, 833–849.
30.
deValoisR. L.PeaseP. L.Contours and contrast: Responses of monkey lateral geniculate nucleus cells to luminance and color figures. Science, 1971, 171, 694–696.
31.
WeintraubD. J.WilsonB. A.GreeneR. D.PalmquistM. J.Delboeuf illusion: Displacement versus diameter, arc deletions, and brightness contrast. J. exp. Psychol., 1969, 80, 505–511.
