In this paper, we study the construction of hierarchies for gradient waters
heds. The underlying analysis is based on the fact that the gradient image
provides information with respect to local discontinuity and similarity. Tw
o algorithms which utilize this type of information are analyzed. The first
one is an extended version of the dynamics of contours and the second is t
he algorithm which considers the minimum cost path saliency between two adj
acent regional minima. For both algorithms, a stopping criterion which defi
nes and extracts automatically each hierarchical level is proposed. An impo
rtant hint to determine which one of the two algorithms has a superior beha
vior is the domination of the profile type of the surface (convex or concav
e) formed by the gradient image. Tests are discussed on artificially genera
ted and real images. The proposed bottom-up procedure provides an essential
aid to the precise classification of anatomical objects when used together
with a user-interface environment. (C) 1999 Elsevier Science B.V. All righ
ts reserved.