Standard FuzzyCMeans

The standard FCM objective function for partitioning {xk}N=1 into c clusters is given by where {xk}N= 1 are the feature vectors for each pixel, {vi}i= 1 are the prototypes of the clusters and the array [wik ] = U represents a partition matrix, U e U, namely c N

The parameter p is a weighting exponent on each fuzzy membership and determines the amount of fuzziness of the resulting classification. The FCM objective function is minimized when high membership values are assigned to pixels whose intensities are close to the centroid of its particular class, and low membership values are assigned when the pixel data is far from the centroid.

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