Thresholding is a commonly used technique in image segmentation. Selecting
the correct thresholds is a critical issue. In this paper, the relationship
between a probability partition (PP) and a fuzzy c-partition (FP) in thres
holding is given. This relationship and the entropy approach are used to de
rive a thresholding technique to select the best fuzzy c-partition. The mea
sure of the selection quality is the compatibility between the FP and the P
P generated by the problem. An entropy function defined by the PP and FP is
used to measure the compatibility. A necessary condition of the entropy fu
nction arriving at a maximum is derived. Based on this condition, an effici
ent algorithm for three-level thresholding is deduced. Experiments to verif
y the efficiency of the proposed method and comparison to some existing tec
hniques are also presented. The experiment results show that our proposed m
ethod gives the best performance in three-level thresholding using fuzzy c-
partition.