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Notes on the Simplification of the Morse-Smale Complex
CNRS LTCI Institut Mines-Télécom, France .ORCID iD: 0000-0002-1498-9062
2014 (English)In: Topological Methods in Data Analysis and Visualization III / [ed] Bremer, P. -T; Hotz, I.; Pascucci, V.; Peikert, R., Springer, 2014, 135-150 p.Chapter in book (Other academic)Text
Abstract [en]

The Morse-Smale complex can be either explicitly or implicitly represented. Depending on the type of representation, the simplification of the Morse-Smale complex works differently. In the explicit representation, the Morse-Smale complex is directly simplified by explicitly reconnecting the critical points during the simplification. In the implicit representation, on the other hand, the Morse-Smale complex is given by a combinatorial gradient field. In this setting, the simplification changes the combinatorial flow, which yields an indirect simplification of the Morse-Smale complex. The topological complexity of the Morse-Smale complex is reduced in both representations. However, the simplifications generally yield different results. In this paper, we emphasize the differences between these two representations, and provide a high-level discussion about their advantages and limitations.

Place, publisher, year, edition, pages
Springer, 2014. 135-150 p.
, Mathematics and Visualization, ISSN 1612-3786
National Category
Computer Science
Research subject
Computer Science; SRA - E-Science (SeRC)
URN: urn:nbn:se:kth:diva-184826DOI: 10.1007/978-3-319-04099-8_9ISBN: 978-3-319-04098-1ISBN: 978-3-319-04099-8OAI: diva2:916914

QC 20160421

Available from: 2016-04-05 Created: 2016-04-05 Last updated: 2016-04-21Bibliographically approved

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