Handlebody representation for surfaces and Morse operators

Antonio Castelo; Helio Cortez Vierro Lopes; Geovan Tavares

doi:10.1117/12.131753

1 November 1992 Handlebody representation for surfaces and Morse operators

Antonio Castelo, Helio Cortez Vierro Lopes, Geovan Tavares

Proceedings Volume 1830, Curves and Surfaces in Computer Vision and Graphics III; (1992) https://doi.org/10.1117/12.131753
Event: Applications in Optical Science and Engineering, 1992, Boston, MA, United States

Abstract

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.

Citation Download Citation

Antonio Castelo, Helio Cortez Vierro Lopes, and Geovan Tavares "Handlebody representation for surfaces and Morse operators", Proc. SPIE 1830, Curves and Surfaces in Computer Vision and Graphics III, (1 November 1992); https://doi.org/10.1117/12.131753

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