A new thinning algorithm for extracting medial surfaces on 3-d binary image
s is proposed. It works in cubic grids where the 26-adjacency relation is u
sed in the set of 1-voxels and the 6-adjacency relation is used in the set
of 0-voxels. The new thinning algorithm is a two-subfield algorithm, i.e.,
a 3-d image is separated into two isometric subfields and the algorithm wor
ks on one subfield at a time. For extracting medial-surface skeletons, the
algorithm preserves "edge voxels". The thinning algorithm is proved to pres
erve connectivity. (C) 2001 Elsevier Science B.V. All rights reserved.