## Skeleton of 3D models |
v1.0 |

Authors: Fu-Che Wu, Wan-Chun Ma, Rung-Huei Liang, Bing-Yu Chen, Ming Ouhyoung

In previous research, three
main approaches were used to solve the skeleton extraction problem: Medial Axis
Transform (MAT), Generalized Potential Field, and Decomposition based methods.
The three different approaches focus respectively on surface variation, inside
energy distribution and the connectivity of parts. Since a 3D object may be
composed of the above three properties, we combine these three ideas to form a
novel structure inside an object to represent the object's essential skeleton.
In this paper, a skeleton can be composed by end points, connection points and
joint points, which are the most important positions to depict an object. In
order to maintain stability, we introduce a essential domain ball and a level
iso-surface function based on repulsive force field and also define a
neighborhood relationship inherited from the surface to describe the connecting
relation of these positions. Based on this relation, we construct a Domain
Connected Graph (DCG), which preserves the topology information of a 3D shape.
The proposed DCG is a concise representation and less sensitive to the
perturbation of shapes than that of MAT. Moreover, from the results of
complicated 3D models consisting of thousands to millions of polygons, it is
also meaningful and more conformed to human perception.

Using our result, a animation sequence is produced from Maya.