On the statistics of vision: The Julesz conjecture☆
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Cited by (48)
How visual edge features influence cuttlefish camouflage patterning
2013, Vision ResearchCitation Excerpt :In particular, Julesz (1962, 1975) famously conjectured that two visual textures will be preattentively discriminable only if they have different Fourier amplitude spectra. Although counterexamples to this conjecture were eventually discovered (e.g., Diaconis & Freedman, 1981; Julesz, Gilbert, & Victor, 1978), the amplitude spectrum principle proved remarkably successful in accounting for most instances of preattentive texture segregation (Bergen & Adelson, 1988; Sutter, Beck, & Graham, 1989). Given, especially, its effectiveness in handling most cases of human preattentive texture segregation, one might wonder whether the Fourier amplitude principle holds for the processes by which visual substrates control skin component activation in cuttlefish.
A method for analyzing the dimensions of preattentive visual sensitivity
2012, Journal of Mathematical PsychologyCitation Excerpt :Julesz (1962) famously conjectured that all preattentive texture discrimination used linear filtering followed by a squaring nonlinearity. And indeed, spectral energy accounts well for many cases of preattentive texture discrimination (Bergen & Adelson, 1988); however, many counterexamples exist (Diaconis & Freedman, 1981; Julesz, Gilbert, Sheppand, & Frisch, 1973; Julesz, Gilbert, & Victor, 1978; Pollack, 1971a,b, 1972, 1973). Although such examples and the models proposed to explain them are suggestive, little progress has been made in actually discovering and measuring the dimensions of preattentive visual sensitivity.
Natural quasirandomness properties
2023, Random Structures and AlgorithmsComputer Vision: Statistical Models for Marr’s Paradigm
2023, Computer Vision: Statistical Models for Marr’s Paradigm
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Research was partially supported by NSF Grants MCS-77-16974 (P. Diaconis) and MCS-80-02535 (D. Freedman).