The paper describes a novel method for clustering points in the plane. The proposed algorithm is based on the notions of clustering function and level lines; the clusters are identified as the level sets corresponding to a reference value of the clustering function. The core idea is to regard the clustering function as a Hamiltonian function and to determine the level lines as the trajectories of the associated Hamiltonian system. The method is illustrated on two practical problems. © 2008 IEEE.

A Hamiltonian-Based Algorithm for Measurements Clustering

CASAGRANDE, Daniele;
2008-01-01

Abstract

The paper describes a novel method for clustering points in the plane. The proposed algorithm is based on the notions of clustering function and level lines; the clusters are identified as the level sets corresponding to a reference value of the clustering function. The core idea is to regard the clustering function as a Hamiltonian function and to determine the level lines as the trajectories of the associated Hamiltonian system. The method is illustrated on two practical problems. © 2008 IEEE.
2008
978-1-4244-3123-6
978-1-4244-3124-3
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/692552
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