The design is described of a parallel version of Tarjan's algorithm for the
determination of equivalence classes in graphs that represent images. Dist
ribution of the vertices of the graph over a number of processes leads to a
message passing algorithm. The algorithm is mapped to a shared-memory arch
itecture by means of POSIX threads. It is applied to the determination of c
onnected components in image processing. Experiments show a satisfactory sp
eedup for sufficiently large images. (C) 2001 Elsevier Science B.V. All rig
hts reserved.