A multi-resolution data structure for two-dimensional Morse-Smale functions

P. Bremer, H. Edelsbrunner, B. Hamann, V. Pascucci, in:, IEEE, 2003, pp. 139–146.

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Abstract
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
Page
139 - 146
Conference
VIS: IEEE Visualization
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Bremer P, Edelsbrunner H, Hamann B, Pascucci V. A multi-resolution data structure for two-dimensional Morse-Smale functions. In: 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 (pp. 139–146). Presented at the VIS: IEEE Visualization, 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,” 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,” presented at the VIS: IEEE Visualization, 2003, pp. 139–146.
Bremer P, Edelsbrunner H, Hamann B, Pascucci V. 2003. A multi-resolution data structure for two-dimensional Morse-Smale functions. VIS: IEEE Visualization 139–146.
Bremer, Peer, et al. A Multi-Resolution Data Structure for Two-Dimensional Morse-Smale Functions. IEEE, 2003, pp. 139–46, doi:10.1109/VISUAL.2003.1250365.

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