A Survey of Topologically Structural Representation and Computation of 3D Point Cloud Data
3维点云的拓扑结构表征与计算技术

Topological structure plays an important role in simplification, transformation, surface reconstruction, compression and transmission, matching and retrieval, shape analysis and understanding, and applications of point cloud data. It is one class of the key characters of 3D point cloud data. Relevant concepts, methods and techniques of topologically structural representation and computation are surveyed and summarized in this paper. Typical techniques and their latest developments are remarked. Practical applications of topologically structural representation and computation of point cloud data and our some latest results are presented. Our perspectives of these problems and techniques are shown.