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https://open.uns.ac.rs/handle/123456789/5595
Title: | Modeling three-dimensional morse and morse-smale complexes | Authors: | Čomić, Lidija De Floriani L. Iuricich F. |
Issue Date: | 1-Jan-2013 | Journal: | Mathematics and Visualization | Abstract: | © Springer-Verlag Berlin Heidelberg 2013. 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. | URI: | https://open.uns.ac.rs/handle/123456789/5595 | ISSN: | 16123786 | DOI: | 10.1007/978-3-642-34141-0_1 |
Appears in Collections: | FTN Publikacije/Publications |
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