This paper is concerned with programming of the Potts mean field theor
y neural networks for pattern recognition by homomorphic mapping of th
e attributed relational graphs (ARG). In order to generate the homomor
phic mapping from the scene relational graph to the model graph, we ma
ke use of the recently introduced [Suganthan, Technical Report, Nanyan
g Technical University (1994)] compatibility functions in relation to
the Hopfield network. An efficient pose clustering algorithm is used t
o separate and localize different occurrences of any particular object
model in the scene. The pose clustering algorithm also eliminates spu
rious hypotheses generated by the network and resolves ambiguities in
the final interpretation. The performance of the proposed approach to
pattern recognition by homomorphism is demonstrated using a number of
line patterns, silhouette images and circle patterns.