Y. Chtioui et al., APPLICATION OF FUZZY C-MEANS CLUSTERING FOR SEED DISCRIMINATION BY ARTIFICIAL VISION, Chemometrics and intelligent laboratory systems, 38(1), 1997, pp. 75-87
The Fuzzy C-Means Algorithm (FCMA) was applied for the discrimination
between seed species by artificial vision. Colour images of seeds belo
nging to 4 species were acquired with a CCD camera. In order to charac
terise the morphology of the seeds, a set of quantitative features wer
e extracted from the images. The aim of this study was to cluster, by
FCMA, the measured learning and test data into 4 groups. The FCMA proc
ess was improved by the introduction of a non-random initialisation of
the cluster centres. In addition, the Mahalanobis distance was used,
instead of the Euclidean distance, as a measure of the proximity of a
pattern to a cluster. Furthermore, a classification approach with a re
ject option was investigated for increasing the classification perform
ances. This was achieved by assigning the seeds which were lying in th
e fuzzy boundaries between the available classes to a reject class. Th
e proposed initialisation method outperformed the random initialisatio
n both in terms of the computation time and the percentage of correct
recognition. With the Mahalanobis distance, the error of classificatio
n was 5.32% and 6% for the training and test sets. In comparison to th
e Euclidean distance, the Mahalanobis distance allowed a decrease of t
he classification errors by 1.12% and 1% for the training and test set
s, respectively. The main advantage of the Mahalanobis distance is tha
t it takes into account the real underlying shapes of the clusters. Th
e application of FCMA with a reject option showed that the classificat
ion errors dropped to 3.38% and 5% when 7.43% of the learning seeds we
re rejected. (C) 1997 Elsevier Science B.V.