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3D Shape Histograms for Similarity Search and Classification in Spatial Databases. Mihael Ankerst,Ga... - page 20 / 44

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Euclidean Distance

Consider 3 objects a, b and c

We can clearly see ‘a and b’ are closely related than ‘a and c’  or ‘b and c’

However due to rotation, the peaks of ‘a’ and ‘b’ are mapped into different bins and hence the Euclidean distance does not reflect similarity in this case

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