In this paper, we give a simple method for determining the medians of
a discrete set according to the Manhattan metric on Z(2). We show how
the medians can be determined by means of the discrete set's projectio
ns along the horizontal and vertical directions. Moreover, we prove th
at if the discrete set satisfies some connection and convexity constra
ints along the previous directions, the medians belong to the discrete
set. (C) 1998 Elsevier Science B.V.