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https://open.uns.ac.rs/handle/123456789/11029
Title: | Modeling and simplifying morse complexes in arbitrary dimensions | Authors: | Čomić, Lidija De Floriani L. |
Issue Date: | 1-Jan-2011 | Journal: | Mathematics and Visualization | Abstract: | © Springer-Verlag Berlin Heidelberg 2011. Ascending and descending Morse complexes, defined by a scalar function f over a manifold domain M, decompose M into regions of influence of the critical points of f, thus representing the morphology of the scalar function f over M in a compact way. Here, we introduce two simplification operators on Morse complexes which work in arbitrary dimensions and we discuss their interpretation as n-dimensional Euler operators. We consider a dual representation of the two Morse complexes in terms of an incidence graph and we describe how our simplification operators affect the graph representation. This provides the basis for defining a multi-scale graph-based model of Morse complexes in arbitrary dimensions. | URI: | https://open.uns.ac.rs/handle/123456789/11029 | ISSN: | 16123786 | DOI: | 10.1007/978-3-642-15014-2_7 |
Appears in Collections: | FTN Publikacije/Publications |
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