Change search
ReferencesLink to record
Permanent link

Direct link
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.
Series
, Mathematics and Visualization, ISSN 1612-3786
National Category
Computer Science
Research subject
Computer Science; SRA - E-Science (SeRC)
Identifiers
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: oai:DiVA.org:kth-184826DiVA: diva2:916914
Note

QC 20160421

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

Open Access in DiVA

No full text

Other links

Publisher's full texthttp://www.csc.kth.se/~weinkauf/publications/absguenther14d.html

Search in DiVA

By author/editor
Weinkauf, Tino
Computer Science

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

ReferencesLink to record
Permanent link

Direct link