Mean Curvature Skeletons

Curvature-based Human Body Parts Segmentation in Physiotherapy

Analysing human sports activity in computer vision requires reliable segmentation of the human body into meaningful parts, such as arms, torso and legs. Therefore, we present a novel strategy for human body segmentation. Firstly, greyscale images of human bodies are divided into smooth intensity patches with an adaptive region growing algorithm based on low-degree polynomial fitting. Then, the ...

An overview on properties and efficacy of topological skeletons in Shape Modelling

297 (a) (b) (c) (d) Figure 10. (a) Vertex classification based on Gaussian curvature (b) high curvature regions are depicted in red; (c) topological rings expanded from the centres of high curvature regions (d) obtained graph. (a) (b) (c) Figure 9. A graph-like representation of the centerline proposed in[20]. (a) (b) Figure 6. (a) Topology changes with respect to the direction f, (b) Reeb grap...

Hypersurfaces with Constant Mean Curvature in a Lorentzian Space Form

RICCI CURVATURE OF SUBMANIFOLDS OF A SASAKIAN SPACE FORM

Involving the Ricci curvature and the squared mean curvature, we obtain basic inequalities for different kind of submaniforlds of a Sasakian space form tangent to the structure vector field of the ambient manifold. Contrary to already known results, we find a different necessary and sufficient condition for the equality for Ricci curvature of C-totally real submanifolds of a Sasakian space form...

Phase transition of triangulated spherical surfaces supported by elastic chains with rigid junctions

A surface model with skeletons is investigated by using the canonical Monte Carlo simulations. The skeleton is composed of linear chains, which are joined to each other at the rigid junctions. A one-dimensional bending energy is defined on the linear chains, and no two-dimensional curvature energy is assumed on the surface. The model undergoes a first-order transition between the smooth phase a...