1987
DOI: 10.3758/bf03211515
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Lightness models, gradient illusions, and curl

Abstract: . Gradient illusions require that models of suprathreshold appearance include a spatial integration that fills areas betwe~n edg~s. W~describe a structural problem inherent in such models; f~r many sc~n~s there are inconsistencies (nonzero curl) in thresholded derivatives that prevent simple spatial integration. Our experiments show that the human visual system does encounter c~l problems~nd that it uses two different types of perceptual solution: field segmentation and Ig.htness~gradientmanipulation. Th?~atte… Show more

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Cited by 33 publications
(35 citation statements)
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“…Although this explanation is now believed to be deficient on the grounds that it predicts Mach bands to be strongest at a step edge where in fact none are observed (Fiorentini, 1972;Ross, Holt & Johnstone, 1981;Ratliff, 1984), it nevertheless anticipated themes central to our current understanding of vision. More recently, brightness illusions have been studied in the context of linear systems analysis (Campbell, Howell & Robson, 1971;Campbell, Howell & Johnstone, 1978;Sullivan & Georgeson, 1977;Dooley & Greenfield, 1977) have been predicted in a number of computational models of both spatial vision (Watt & Morgan, 1985;Morrone & Burr, 1988) and reflectance recovery (Horn, 1974;Land, 1986;Hurlbert & Poggio, 1988;Blake, 1985) and have been the principal subject of models explicitly concerned with brightness coding (Arend, Buehler & Lockhead, 1971;Arend & Goldstein, 1987;Hamada, 1984;Cohen & Grossberg, 1984;Grossberg & Todorovic, 1988;.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Although this explanation is now believed to be deficient on the grounds that it predicts Mach bands to be strongest at a step edge where in fact none are observed (Fiorentini, 1972;Ross, Holt & Johnstone, 1981;Ratliff, 1984), it nevertheless anticipated themes central to our current understanding of vision. More recently, brightness illusions have been studied in the context of linear systems analysis (Campbell, Howell & Robson, 1971;Campbell, Howell & Johnstone, 1978;Sullivan & Georgeson, 1977;Dooley & Greenfield, 1977) have been predicted in a number of computational models of both spatial vision (Watt & Morgan, 1985;Morrone & Burr, 1988) and reflectance recovery (Horn, 1974;Land, 1986;Hurlbert & Poggio, 1988;Blake, 1985) and have been the principal subject of models explicitly concerned with brightness coding (Arend, Buehler & Lockhead, 1971;Arend & Goldstein, 1987;Hamada, 1984;Cohen & Grossberg, 1984;Grossberg & Todorovic, 1988;.…”
Section: Introductionmentioning
confidence: 99%
“…1974;Blake, 1985;Arend & Goldstein, 1987). although they appear not to be able to do so with any quantitative precision ).…”
Section: Lightness Integration Modelsmentioning
confidence: 99%
“…lightness distributions by integration ofluminance ratios at edges (Arend & Goldstein, 1987a;Gilchrist, Delman, & Jacobsen, 1983;Land & McCann, 1971) produce correct relative lightnesses only if no illumination edges are included. To test the coplanar ratio hypothesis, Gilchrist (1977) placed two gray papers against the far wall of a brightly illuminated room, and another one on the wall of a closer, dimly illuminated room.…”
mentioning
confidence: 99%
“…According to several theories, brightnesses and lightnesses in complicated images are derived from signals specifying the luminance contrasts of edges (Arend & Goldstein, 1987a;Blake, 1985;Horn, 1974;Land & McCann, 1971). If so, Whittle and Challands's (1969) data indicate that lightnesses of surfaces might also vary substantially as a function of mean luminance.…”
mentioning
confidence: 99%