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Article Dans Une Revue Entropy Année : 2018

On the geodesic distance in shapes K-means clustering


Using Information Geometry tools, we represent landmarks of a complex shape as probability densities in a statistical manifold. Then, in the setting of shapes clustering through a K-means algorithm, we evaluate the discriminative power of two different shapes distances. The first, derived from Fisher-Rao metric, is related with the minimization of information in the Fisher sense and the other is derived from the Wasserstein distance which measures the minimal transportation cost.
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Dates et versions

hal-01852144 , version 1 (31-07-2018)
hal-01852144 , version 2 (04-10-2018)



Stefano Antonio Gattone, Angela de Sanctis, Stéphane Puechmorel, Florence Nicol. On the geodesic distance in shapes K-means clustering. Entropy, 2018, Special Issue Selected Papers from 4th International Electronic Conference on Entropy and Its Applications, 20 (9), pp 647. ⟨10.3390/e20090647⟩. ⟨hal-01852144v2⟩


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