Title: Modeling Three-Dimensional Morse and Morse-Smale Complexes
Abstract: Morse and Morse-Smale complexes have been recognized as a suitable tool for modeling the topology of a manifold M through a decomposition of M induced by a scalar field f defined over M. We consider here the problem of representing, constructing and simplifying Morse and Morse-Smale complexes in 3D. We first describe and compare two data structures for encoding 3D Morse and Morse-Smale complexes. We describe, analyze and compare algorithms for computing such complexes. Finally, we consider the simplification of Morse and Morse-Smale complexes by applying coarsening operators on them, and we discuss and compare the coarsening operators on Morse and Morse-Smale complexes described in the literature.
Publication Year: 2012
Publication Date: 2012-11-26
Language: en
Type: book-chapter
Indexed In: ['crossref']
Access and Citation
Cited By Count: 2
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