Reduction operators iteratively applied to gray-tone pictures cause dilatio
n of the regions, the gray-value of which is locally minimal, so that a gra
y-tone picture with no distinction between foreground and background is tra
nsformed into a set of bottom regions separated by ridge lines. The set of
ridge lines can be understood as the skeleton of what is perceived as foreg
round. We describe a two-subiteration parallel skeletonization algorithm em
ploying new reduction operators which are based on the nonridge point condi
tion and are topology preserving. The performance of the algorithm is discu
ssed, in particular with respect to certain critical configurations, and ex
perimental work is reported to evaluate the thinning capability of the prop
osed reduction operators.