Time-varying Reeb graphs for continuous space-time data
Publication
, Journal Article
Edelsbrunner, H; Harer, J; Mascarenhas, A; Pascucci, V; Snoeyink, J
Published in: Computational Geometry: Theory and Applications
November 1, 2008
The Reeb graph is a useful tool in visualizing real-valued data obtained from computational simulations of physical processes. We characterize the evolution of the Reeb graph of a time-varying continuous function defined in three-dimensional space. We show how to maintain the Reeb graph over time and compress the entire sequence of Reeb graphs into a single, partially persistent data structure, and augment this data structure with Betti numbers to describe the topology of level sets and with path seeds to assist in the fast extraction of level sets for visualization. © 2008 Elsevier B.V.
Duke Scholars
Published In
Computational Geometry: Theory and Applications
DOI
ISSN
0925-7721
Publication Date
November 1, 2008
Volume
41
Issue
3
Start / End Page
149 / 166
Related Subject Headings
- Geological & Geomatics Engineering
- 49 Mathematical sciences
- 46 Information and computing sciences
- 0802 Computation Theory and Mathematics
- 0103 Numerical and Computational Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Edelsbrunner, H., Harer, J., Mascarenhas, A., Pascucci, V., & Snoeyink, J. (2008). Time-varying Reeb graphs for continuous space-time data. Computational Geometry: Theory and Applications, 41(3), 149–166. https://doi.org/10.1016/j.comgeo.2007.11.001
Edelsbrunner, H., J. Harer, A. Mascarenhas, V. Pascucci, and J. Snoeyink. “Time-varying Reeb graphs for continuous space-time data.” Computational Geometry: Theory and Applications 41, no. 3 (November 1, 2008): 149–66. https://doi.org/10.1016/j.comgeo.2007.11.001.
Edelsbrunner H, Harer J, Mascarenhas A, Pascucci V, Snoeyink J. Time-varying Reeb graphs for continuous space-time data. Computational Geometry: Theory and Applications. 2008 Nov 1;41(3):149–66.
Edelsbrunner, H., et al. “Time-varying Reeb graphs for continuous space-time data.” Computational Geometry: Theory and Applications, vol. 41, no. 3, Nov. 2008, pp. 149–66. Scopus, doi:10.1016/j.comgeo.2007.11.001.
Edelsbrunner H, Harer J, Mascarenhas A, Pascucci V, Snoeyink J. Time-varying Reeb graphs for continuous space-time data. Computational Geometry: Theory and Applications. 2008 Nov 1;41(3):149–166.
Published In
Computational Geometry: Theory and Applications
DOI
ISSN
0925-7721
Publication Date
November 1, 2008
Volume
41
Issue
3
Start / End Page
149 / 166
Related Subject Headings
- Geological & Geomatics Engineering
- 49 Mathematical sciences
- 46 Information and computing sciences
- 0802 Computation Theory and Mathematics
- 0103 Numerical and Computational Mathematics
- 0101 Pure Mathematics