Pulse Coupled Neural Networks are a very useful tool for image processing and visual applications, since it has the
advantages of being invariant to image changes as rotation, scale, or certain distortion. Among other characteristics, the
PCNN changes a given image input into a temporal representation which can be easily later analyzed for pattern
recognition. The structure of a PCNN though, makes it necessary to determine all of its parameters very carefully in
order to function optimally, so that the responses to the kind of inputs it will be subjected are clearly discriminated
allowing for an easy and fast post-processing yielding useful results. This tweaking of the system is a taxing process.
In this paper we analyze and compare two methods for modeling PCNNs. A purely mathematical model is programmed
and a similar circuital model is also designed. Both are then used to determine the optimal values of the several
parameters of a PCNN: gain, threshold, time constants for feed-in and threshold and linking leading to an optimal design
for image recognition. The results are compared for usefulness, accuracy and speed, as well as the performance and time
requirements for fast and easy design, thus providing a tool for future ease of management of a PCNN for different tasks.