A new 3D shape-dependant skeletonization method. Application to porous media

Gabriel Aufort, Rachid Jennane, Rachid Harba, Claude Laurent Benhamou · 2006

This communication presents a new method to com-pute a precise shape-dependant skeleton and its appli-cation to porous media. The local geometry of the ob-ject’s structure is taken into account in order to switch between curve and surface thinning criterions. The re-sulting skeleton combines 2D surfaces and 1D curves to represent respectively the plate-shaped and rod-shaped parts of the object. First, methods to compute the shape-dependant skeleton are described: rod and plate classification, surface and curve thinning. Then, appli-cations of the technique are presented in the field of bio-medical imaging (trabecular bone) and geology (sand-stone). A clinical study is led on 2 sets of bone samples. It shows the ability of the skeleton to characterize the trabecular bone microarchitecture. 1.

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