Feature-aware Segmentation from Point Cloud

 


-         Distance Function: Every point in three-dimension is assigned its distance to the shape.

-         When the shape is known only via a finite point sample, the critical points can be detected by Voronoi-Delaunay duality.

-         Stable Manifolds of the Maxima define the features.


-         A flow relation is defined among the Delaunay tetrahedral depending on the relative position of their circumcenters (dual Voronoi vertices).

-         The transitive closure of this relation gives the stable manifolds of the maxima.