This paper describes the development of a Bayesian framework for multi
ple graph matching. The study is motivated by the plethora of multi-se
nsor fusion problems which can be abstracted as multiple graph matchin
g tasks. The study uses as its starting point the Bayesian consistency
measure recently developed by Wilson and Hancock. Hitherto, the consi
stency measure has been used exclusively in the matching of graph-pair
s. In the multiple graph matching study reported in this paper, we use
the Bayesian framework to construct an inference matrix which can be
used to gauge the mutual consistency of multiple graph-matches. The mu
ltiple graph-matching process is realised as an iterative discrete rel
axation process which aims to maximise the elements of the inference m
atrix. We experiment with our multiple graph matching process using an
application vehicle furnished by the matching of aerial imagery. Here
we are concerned with the simultaneous fusion of optical, infra-red a
nd synthetic aperture radar images in the presence of digital map data
. (C) 1997 Elsevier Science B.V.