En. Dzhafarov et al., DETECTION OF CHANGES IN SPEED AND DIRECTION OF MOTION - REACTION-TIMEANALYSIS, Perception & psychophysics, 54(6), 1993, pp. 733-750
Observers reacted to the change in the movement of a random-dot field
whose initial velocity, V-0, was constant for a random period and then
switched abruptly to another value, V-1. The two movements, both hori
zontally oriented, were either in the same direction (speed increments
or decrements), or in the opposite direction but equal in speed (dire
ction reversals). One of the two velocities, V-0 or V-1, could be zero
(motion onset and offset, respectively). In the range of speeds used,
0-16 deg/sec (dps), the mean reaction time (MRT) for a given value of
V-0 depended on \V-1 - V-0\ only: MRT approximate to r + c(V-0)/\V-1
- V-0\(beta), where beta = 2/3, r is a velocity-independent component
of MRT, and c(V-0) is a parameter whose value is constant for low valu
es of V-0 (0-4 dps), and increases beginning with some value of V-0 be
tween 4 and 8 dps. These and other data reviewed in the paper are acco
unted for by a model in which the time-position function of a moving t
arget is encoded by mass activation of a network of Reichardt-type enc
oders. Motion-onset detection (V-0 = 0) is achieved by weighted tempor
al summation of the outputs of this network, the weights assigned to a
ctivated encoders being proportional to their squared spatial spans. B
y means of a ''subtractive normalization,'' the visual system effectiv
ely reduces the detection of velocity changes (a change from V-0 to V-
1) to the detection of motion onset (a change from 0 to V-1 - V-0). Su
btractive normalization operates by readjustment of weights: the weigh
ts of all encoders are amplified or attenuated depending on their spat
ial spans, temporal spans, and the initial velocity V-0. Assignment of
weights and weighted temporal summation are thought of as special-pur
pose computations performed on the dynamic array of activations in the
motion-encoding network, without affecting the activations themselves
.