Topographic maps are found in many biological and artificial neural systems
. In biological systems, some parts of these can form a significantly expan
ded representation of their sensory input, such as the representation of th
e fovea in the visual cortex. We propose that a cortical feature map should
be organized to optimize the efficiency of information transmission throug
h it. This leads to a principle of uniform cortical information density acr
oss the map as the desired optimum. An expanded representation in the corte
x for a particular sensory area (i.e. a high magnification factor) means th
at a greater information density is concentrated in that sensory area, lead
ing to finer discrimination thresholds. Improvement may ultimately be limit
ed by the construction of the sensors themselves. This approach gives a goo
d fit to threshold versus cortical area data of Recanzone et al on owl monk
eys trained on a tactile frequency-discrimination task.