where constant k' is related to, but not identical to, the constant k in Weber's Law
. S is the magnitude of sensation, whereas I stands for stimulus intensity, and log I indicates natural logarithm of I.
This algorithm constructs the graph structure from the diagonal direction in the neighborhood of 5 x 5, and then combines it with the direction with the differential excitation information according to Weber's law
. Finally, the eigenvalues of the image are obtained.
The failure of Weber's law
in time perception and production.
In fact, it has been shown mathematically that when the centers of the magnitude distributions vary as a power function of the stimuli, Ekman's law implies Weber's law
and vice versa (Norwich & Wong, 1997; Petrov & Anderson, 2005).
Also, orthogonal cross-sections of the same surface (see the curves drawn on the left projection plane) have a shape that accommodates DeVries-Rose and Weber's laws
, with the transition point also shifting towards higher illuminance with increasing frequency (compare with, e.g., Hess, 1990; Mustonen, Rovamo, & Nasanen, 1993).
To maintain that probabilities of 0.05 and 0.10 are dissimilar but that their complements, 0.95 and 0.90, are similar, as would be consistent with Weber's law
, introduces a dissonance not necessarily encountered when experiencing other stimuli.
suggests that the just noticeable difference (or JND) between two prices is related to the level of the stimuli and to a constant, k (i.e., the JND equals the intensity of the stimulus times a constant k).
According to Weber's Law
, under the fact that human perception of a pattern depends not only on the stimulus difference but also on the ratio of the relative stimulus change to the original stimulus intensity, we first design Contour Angular Feature (CAF) to model the so-called stimulus intensity, and then establish WLSD according to the Weber's Law