Shape classification based on interpoint distance distributions
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TL;DR: The Lipschitz continuity of the transformation taking every shape to its corresponding interpoint distance distribution is shown and a partial identifiability result is obtained showing that, under some geometrical restrictions, shapes with different planar area must have different inter point distance distributions.
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About: This article is published in Journal of Multivariate Analysis. The article was published on 01 Apr 2016. and is currently open access. The article focuses on the topics: Shape analysis (digital geometry) & Shape theory.
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