Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
The Shock Scaffold for Representing 3D Shape
IWVF-4 Proceedings of the 4th International Workshop on Visual Form
Detecting Centres of Maximal Geodesic Discs on the Distance Transform of Surfaces in 3D Images
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
Detection of constrictions on closed polyhedral surfaces
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
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Constrictions on a surface are defined as simple closed curves whose length is locally minimal. In particular, constrictions are periodic geodesics. We use constrictions in order to segment objects. In [4], we proposed an approach based on progressive surface simplification andlocal geodesic computation. The drawback of this approach is that constrictions are approximated by closed piecewise geodesics which are not necessarily periodic geodesics. In this paper, we compute constrictions starting from the closed piecewise geodesics previously computed and moving them on the surface. We compare the location of the initial closed piecewise geodesics to the location of the constrictions. Finally, we define and compute different types of constrictions on a surface.