Abstract: This paper proposes a three-dimensional Reeb graph calculation of human body. Vertex coordinates of three-dimensional mesh data are employed to calculate vertex geodesic distance and construct Morse function, and then human body three-dimensional Reeb graph can be extracted according to vertex triangular relationship. It adds the key joint nodes, which can more accurately describe the topology of three-dimensional model, by calculating the arc of Reeb graph nodes. Experimental results show that the method is simple and of wide applicability.

Key words: topological structure, Reeb graph, skeleton structure, Morse function, geodesic curve

摘要： 提出一种人体三维Reeb计算方法。利用人体三维网格数据的顶点坐标，求取顶点的测地距离，构造Morse函数，依据顶点的三角面关系提取人体三维模型的Reeb图，给出基于Reeb图的一般人体骨架结构表示。通过计算Reeb图上弧的曲率，判断是否需要增加关节节点，从而能更准确地描述人体三维模型的拓扑结构。实验结果表明，该方法计算量小、适用性广。

关键词: 拓扑结构, Reeb图, 骨架结构, Morse函数, 测地线

CLC Number: 

• TP393