Fuzzy segmentation is an effective way of segmenting out objects in picture
s containing both random noise and shading. This is illustrated both on mat
hematically created pictures and on some obtained from medical imaging. A t
heory of fuzzy segmentation is presented. To perform fuzzy segmentation, a
'connectedness map' needs to be produced. It is demonstrated that greedy al
gorithms for creating such a connectedness map are faster than the previous
ly used dynamic programming technique. Once the connectedness map is create
d, segmentation is completed by a simple thresholding of the connectedness
map. This approach is efficacious in instances where simple thresholding of
the original picture fails.