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https://open.uns.ac.rs/handle/123456789/8660
Title: | Simplification operators on a dimension-independent graph-based representation of morse complexes | Authors: | Čomić, Lidija De Floriani L. Iuricich F. |
Issue Date: | 24-Sep-2013 | Journal: | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) | Abstract: | Ascending and descending Morse complexes are defined by the critical points and integral lines of a scalar field f defined on a manifold M. They induce a subdivision of M into regions of uniform gradient flow, thus providing a compact description of the topology of M and of the behavior of f over M. We represent the ascending and descending Morse complexes of f as a graph, that we call the Morse incidence graph (MIG). We have defined a simplification operator on the graph-based representation, which is atomic and dimension-independent, and we compare this operator with a previous approach to the simplification of 3D Morse complexes based on the cancellation operator. We have developed a simplification algorithm based on a simplification operator, which operates on the MIG, and we show results from this implementation as well as comparisons with the cancellation operator in 3D. © 2013 Springer-Verlag. | URI: | https://open.uns.ac.rs/handle/123456789/8660 | ISBN: | 9783642382932 | ISSN: | 3029743 | DOI: | 10.1007/978-3-642-38294-9_2 |
Appears in Collections: | FTN Publikacije/Publications |
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