morphological changing information of volcanic ash cloud [10], [11]. Therefore, accurately remote sensing classification of volcanic ash cloud has an important practical significance for improving the disaster prevention and mitigation of volcanic ash cloud.
At present a variety of volcanic ash cloud detection from remote sensing image have been presented with the new theory‘s in-depth study, i.e., statistical theory, fuzzy theory and machine learning [12], [13]. However, there is some common computation complexity, application narrow and low accuracy in these mainstream approaches. In contrast, the fuzzy C-means clustering (FCM) can get each data sample‘s membership of all types of class centers and then determine the ownership of sample points [14], [15]. This also has great application potential in the volcanic ash cloud detection. As a typical dynamic clustering algorithm, in essence FCM seeks an optimal solution by the gradient descent method. However, the objective function which corresponds to the results often may be a
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