How to generate Euclidean skeletons. Apply a surface erosion condition, while constraining it with a space-curve topology condition. Apply a space-curve erosion condition, while constraining it with a single point condition. Secondly, do the thinning in order of increasing distance. Attempt at simulating a Grassfire propagation to elicit medial symmetries.
Dimensional reduction is available.
Many references in the recent literature, through the 80's and 90's. The properties of the Delaunay triangulation of point sets has been exploited as a means of skeletal construction in both 2D and 3D. E.g. Yu et al. It is demonstrated that the circumspheres of the resulting tetrahedra approximate maximal spheres. The Delaunay triangulation of S consists of the set of tetrahedra formed by connecting the neighboring points pi and pj between the adjacent polyhedra vi , vj . A fundamental property of the Delaunay triangulation of S is the empty circumsphere property.