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Conference Papers Year : 2013

Skull Shapes and Oriented Matroids

Emeric Gioan

Abstract

Oriented matroid theory provides a combinatorial encoding of convexity properties, and of relative positions, in a finite set of geometrical points. One can see it as yielding a discrete notion of shape, that is structural and not based on numerical measures as usual. We use it as a framework for a method to investigate, classify and characterize the shapes of 3D landmark-based models. This morphometry method will be illustrated on sets of skull shapes coming from various species or presenting various types of clinical deformations, for applications in physical anthropology or in 3D medical image analysis (from a joint work with Kevin Sol and Gérard Subsol).
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Dates and versions

lirmm-00959960 , version 1 (17-03-2014)

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  • HAL Id : lirmm-00959960 , version 1

Cite

Emeric Gioan. Skull Shapes and Oriented Matroids. FMMIAM: French-Mexican Meeting on Industrial and Applied Mathematics, SMM, Nov 2013, Tabasco, Mexico. ⟨lirmm-00959960⟩
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