Handlebody representation for surfaces and Morse operators

摘要

Abstract: 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.!30