A multi-resolution data structure for two-dimensional Morse-Smale functions
Bremer P, Edelsbrunner H, Hamann B, Pascucci V. 2003. A multi-resolution data structure for two-dimensional Morse-Smale functions. Proceedings of the 14th IEEE Conference on Visualization . VIS: IEEE Visualization, 139–146.
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Conference Paper
| Published
| English
Scopus indexed
Author
Bremer, Peer;
Edelsbrunner, HerbertISTA 
;
Hamann, Bernd;
Pascucci, Valerio
;
Hamann, Bernd;
Pascucci, ValerioAbstract
We combine topological and geometric methods to construct a multi-resolution data structure for functions over two-dimensional domains. Starting with the Morse-Smale complex, we construct a topological hierarchy by progressively canceling critical points in pairs. Concurrently, we create a geometric hierarchy by adapting the geometry to the changes in topology. The data structure supports mesh traversal operations similarly to traditional multi-resolution representations.
Publishing Year
Date Published
2003-08-01
Proceedings Title
Proceedings of the 14th IEEE Conference on Visualization
Acknowledgement
This work was performed under the auspices of the U. S. Department of Energy by University of California Lawrence Livermore National Laboratory under contract No. W-7405-Eng-48. H. Edelsbrunner is partially supported by the National Science Foundation (NFS) under grants EIA-99-72879 and CCR-00-86013. B. Hamann is supported by the NSF under contract ACI 9624034, through the LSSDSV program under contract ACI 9982251, and through the NPACI; the National Institute of Mental Health and the NSF under contract NIMH 2 P20 MH60975-06A2; the Lawrence Livermore National Laboratory under ASCI ASAP Level-2 Memorandum Agreement B347878 and under Memorandum Agreement B503159.
Page
139 - 146
Conference
VIS: IEEE Visualization
Conference Location
Seattle, WA, USA
Conference Date
2003-10-19 – 2003-10-24
ISBN
IST-REx-ID
Cite this
Bremer P, Edelsbrunner H, Hamann B, Pascucci V. A multi-resolution data structure for two-dimensional Morse-Smale functions. In: Proceedings of the 14th IEEE Conference on Visualization . IEEE; 2003:139-146. doi:10.1109/VISUAL.2003.1250365
Bremer, P., Edelsbrunner, H., Hamann, B., & Pascucci, V. (2003). A multi-resolution data structure for two-dimensional Morse-Smale functions. In Proceedings of the 14th IEEE Conference on Visualization (pp. 139–146). Seattle, WA, USA : IEEE. https://doi.org/10.1109/VISUAL.2003.1250365
Bremer, Peer, Herbert Edelsbrunner, Bernd Hamann, and Valerio Pascucci. “A Multi-Resolution Data Structure for Two-Dimensional Morse-Smale Functions.” In Proceedings of the 14th IEEE Conference on Visualization , 139–46. IEEE, 2003. https://doi.org/10.1109/VISUAL.2003.1250365.
P. Bremer, H. Edelsbrunner, B. Hamann, and V. Pascucci, “A multi-resolution data structure for two-dimensional Morse-Smale functions,” in Proceedings of the 14th IEEE Conference on Visualization , Seattle, WA, USA , 2003, pp. 139–146.
Bremer P, Edelsbrunner H, Hamann B, Pascucci V. 2003. A multi-resolution data structure for two-dimensional Morse-Smale functions. Proceedings of the 14th IEEE Conference on Visualization . VIS: IEEE Visualization, 139–146.
Bremer, Peer, et al. “A Multi-Resolution Data Structure for Two-Dimensional Morse-Smale Functions.” Proceedings of the 14th IEEE Conference on Visualization , IEEE, 2003, pp. 139–46, doi:10.1109/VISUAL.2003.1250365.
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