Characterization of approximate plane symmetries for 3D fuzzy objects

Olivier Colliot 1 Isabelle Bloch 2 Alexander Tuzikov
1 ARAMIS - Algorithms, models and methods for images and signals of the human brain
SU - Sorbonne Université, Inria de Paris, ICM - Institut du Cerveau et de la Moëlle Epinière = Brain and Spine Institute
Abstract : We are interested in finding and characterizing the symmetry planes of fuzzy objects in 3D space. We introduce first a fuzzy symmetry measure which defines an object symmetry degree with respect to a given plane. It is computed by measuring the similarity between the original object and its reflection. The choice of an appropriate measure of comparison is based on the desired properties. In a second part, a method for finding the best symmetry planes of fuzzy objects is proposed. We then apply these results to the representation of directional relationships .
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Olivier Colliot, Isabelle Bloch, Alexander Tuzikov. Characterization of approximate plane symmetries for 3D fuzzy objects. 9th International Conference on Information Processing and Management of Uncertainty IPMU 2002), Jul 2002, Annecy, France. pp.1749-1756. ⟨hal-01930352⟩

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