A new pyramid algorithm for labeling connected components of an image
is presented. The algorithm uses explicit node to node connections in
a pyramid architecture for data transfer operations and does not assum
e any complex pyramid machine with random access read (RAR) or random
access write (RAW) capabilities. The algorithm is more practical from
a programming point of view as it is easily implementable on some of t
he existing pyramid machines (Schaeffer, Proc. 18th Annual Hawaii Conf
. on Systems Science, Vol. 1, pp. 178-184 (1985), Tanomoto et al., Par
allel Computer Vision, pp. 43-83. Academic Press, Orlando, Florida (19
87)). The time complexity of the algorithm is O(s log n) for n x n ima
ge size and s components in the image. Moreover, the algorithm is appl
icable on both binary and multilevel images and hence is useful for se
gmentation of multilevel images. Experimental results on binary and ra
nge images are cited in this paper to highlight distinctive features o
f the algorithm.