Handlebody representation for surfaces and Morse operators
Antonio Castelo, Helio Cortez V. Lopes, Geovan Tavares · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1992
In this paper we introduce a data structure for surface representation, called Handle-Edge, which involves only an intrinsic cell decomposition, and define structural operators, called Morse Operators, which are based on the Handlebody Representation of orientable surfaces with or without boundary. As the description is a topological one it leaves open the dimension of the euclidean space, where the surface is embedded. We apply this representation to the visualization of implicit surfaces embedded in high-dimensional spaces.