Gs. Russell, NESTED REENTRANT AND RECURRENT COMPUTATION IN EARLY VISION - A BAYESIAN NEUROMORPHIC MODEL APPLIED TO HYPERACUITY, Biological cybernetics, 76(3), 1997, pp. 195-206
Hyperacuity is demonstrated in a neuromorphic model of the early visua
l system. The model incorporates Bayesian principles which are embodie
d in the dynamics of reentrant and recurrent feedback processes. Each
retinotopically mapped area in the model represents a transformation o
f data from the visual field. Sensory information propagates in a bott
om-up direction from one area to the next, while information based on
Bayesian priors propagates in a top-down direction through reentrant c
onnections. The 'bottom-up' and 'top-down' information maintain a sepa
rate existence in distinct layers of the model, but they interact thro
ugh local connections within each area. Transformations between one ar
ea and the next are defined by the reentrant synaptic connections betw
een areas, while local prior probability maps are defined by local rec
urrent connections within layers. The representation of hyperacuity is
accomplished using a model of functional multiplicity: the large rati
o of neurons in striate cortex compared with the number of afferent fi
bers projecting from the lateral geniculate nucleus. High functional m
ultiplicity, in conjunction with hierarchical reentrant processing, al
lows the model to represent a fine-grained restoration of the line str
ucture of visual input.