Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/16249
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Čomić, Lidija | en |
dc.contributor.author | Mesmoudi M. | en |
dc.contributor.author | De Floriani L. | en |
dc.date.accessioned | 2020-03-03T15:03:11Z | - |
dc.date.available | 2020-03-03T15:03:11Z | - |
dc.date.issued | 2011-04-18 | en |
dc.identifier.isbn | 9783642198663 | en |
dc.identifier.issn | 3029743 | en |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/16249 | - |
dc.description.abstract | Forman theory, which is a discrete alternative for cell complexes to the well-known Morse theory, is currently finding several applications in areas where the data to be handled are discrete, such as image processing and computer graphics. Here, we show that a discrete scalar field f, defined on the vertices of a triangulated multidimensional domain ∑, and its gradient vector field Grad f through the Smale-like decomposition of f [6], are both the restriction of a Forman function F and its gradient field Grad F that extends f over all the simplexes of ∑. We present an algorithm that gives an explicit construction of such an extension. Hence, the scalar field f inherits the properties of Forman gradient vector fields and functions from field Grad F and function F. © 2011 Springer-Verlag. | en |
dc.relation.ispartof | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) | en |
dc.title | Smale-like decomposition and Forman theory for discrete scalar fields | en |
dc.type | Conference Paper | en |
dc.identifier.doi | 10.1007/978-3-642-19867-0_40 | en |
dc.identifier.scopus | 2-s2.0-79953893362 | en |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/79953893362 | en |
dc.relation.lastpage | 488 | en |
dc.relation.firstpage | 477 | en |
dc.relation.volume | 6607 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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