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An Efficiency Clustering Algorithm Based on Mathematics Morphology and Scale Space Theory

In this paper, a new clustering algorithm MSC is proposed. Mathematics morphology theory is used to search clusters. A new mathematics morphological operator is introduced, which is more accurate than the ordinary operators: open and close. The scale space theory is integrated with mathematics morphology to get multi-scale and hierarchical clusters. Performance tests show that MSC can find clusters in different scale spaces; its hierarchical result is easy to understand and interpret.