This paper outlines a relaxation approach using the Hopfield neural ne
twork for solving the global stereovision matching problem. The primit
ives used are edge segments. The similarity, smoothness and uniqueness
constraints are transformed into the form of an energy function whose
minimum value corresponds to the best solution of the problem. We com
bine two methods: (a) optimization/relaxation((1)) and (b) relaxation
merit((2)) with the above three constraints mapped in an energy functi
on. The main contribution is made (1) by applying a learning strategy
in the similarity constraint and (2) by introducing specific condition
s to overcome the violation of the smoothness constraint and to avoid
the serious problem arising from the required fixation of a disparity
limit. So, we improve the stereovision matching process. A better perf
ormance of the proposed method is illustrated with a comparative analy
sis against a classical relaxation method. (C) 1998 Pattern Recognitio
n Society. Published by Elsevier Science Ltd. All rights reserved.