Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/15507
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Čomić, Lidija | en |
dc.contributor.author | De Floriani L. | en |
dc.date.accessioned | 2020-03-03T15:00:15Z | - |
dc.date.available | 2020-03-03T15:00:15Z | - |
dc.date.issued | 2008-05-12 | en |
dc.identifier.isbn | 3540791256 | en |
dc.identifier.issn | 3029743 | en |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/15507 | - |
dc.description.abstract | Morse theory studies the relationship between the topology of a manifold M and the critical points of a scalar function f defined on M. The Morse-Smale complex associated with f induces a subdivision of M into regions of uniform gradient flow, and represents the topology of M in a compact way. Function f can be simplified by cancelling its critical points in pairs, thus simplifying the topological representation of M, provided by the Morse-Smale complex. Here, we investigate the effect of the cancellation of critical points of f in Morse-Smale complexes in two and three dimensions by showing how the change of connectivity of a Morse-Smale complex induced by a cancellation can be interpreted and understood in a more intuitive and straightforward way as a change of connectivity in the corresponding ascending and descending Morse complexes. We consider a discrete counterpart of the Morse-Smale complex, called a quasi-Morse complex, and we present a compact graph-based representation of such complex and of its associated discrete Morse complexes, showing also how such representation is affected by a cancellation. © 2008 Springer-Verlag Berlin Heidelberg. | en |
dc.relation.ispartof | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) | en |
dc.title | Cancellation of critical points in 2D and 3D morse and morse-smale complexes | en |
dc.type | Conference Paper | en |
dc.identifier.doi | 10.1007/978-3-540-79126-3_12 | en |
dc.identifier.scopus | 2-s2.0-43049120007 | en |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/43049120007 | en |
dc.relation.lastpage | 128 | en |
dc.relation.firstpage | 117 | en |
dc.relation.volume | 4992 LNCS | en |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
crisitem.author.dept | Fakultet tehničkih nauka, Departman za opšte discipline u tehnici | - |
crisitem.author.parentorg | Fakultet tehničkih nauka | - |
Appears in Collections: | FTN Publikacije/Publications |
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