Am. Bensaid et al., VALIDITY-GUIDED (RE)CLUSTERING WITH APPLICATIONS TO IMAGE SEGMENTATION, IEEE transactions on fuzzy systems, 4(2), 1996, pp. 112-123
When clustering algorithms are applied to image segmentation, the goal
is to solve a classification problem. However, these algorithms do no
t directly optimize classification quality. As a result, they are susc
eptible to two problems: P1) the criterion they optimize may not be a
good estimator of ''true'' classification quality, and P2) they often
admit many (suboptimal) solutions. This paper introduces an algorithm
that uses cluster validity to mitigate P1 and P2. The validity-guided
(re)clustering (VGC) algorithm uses cluster-validity information to gu
ide a fuzzy (re)clustering process toward better solutions. It starts
with a partition generated by a soft or fuzzy clustering algorithm. Th
en it iteratively alters the partition by applying (novel) split-and-m
erge operations to the clusters. Partition modifications that result i
n improved partition validity are retained. VGC is tested on both synt
hetic and real-world data. For magnetic resonance image (MRI) segmenta
tion, evaluations by radiologists show that VGC outperforms the (unsup
ervised) fuzzy c-means algorithm, and VGC's performance approaches tha
t of the (supervised) k-nearest-neighbors algorithm.