Name
Abstract | ||
|---|---|---|
In this paper, we present a topological approach for simplifying continuous functions defined on volumetric domains. We introduce two atomic operations that remove pairs of critical points of the function and design a combinatorial algorithm that simplifies the Morse-Smale complex by repeated application of these operations. The Morse-Smale complex is a topological data structure that provides a compact representation of gradient flow between critical points of a function. Critical points paired by the Morse-Smale complex identify topological features and their importance. The simplification procedure leaves important critical points untouched, and is therefore useful for extracting desirable features. We also present a visualization of the simplified topology. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1109/VIS.2005.106 | IEEE VISUALIZATION 2005, PROCEEDINGS |
Keywords | Field | DocType |
Morse theory, Morse-Smale complexes, computational topology, multiresolution, simplification, feature detection, 3D scalar fields | Topology,Data structure,Continuous function,Topological space,Visualization,Computer science,Scalar (physics),Feature extraction,Theoretical computer science,Morse theory,Computational topology | Conference |
Citations | PageRank | References |
58 | 2.43 | 16 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Attila Gyulassy | 1 | 453 | 23.11 |
| Vijay Natarajan | 2 | 674 | 41.85 |
| Valerio Pascucci | 3 | 3241 | 192.33 |
| Peer-Timo Bremer | 4 | 1446 | 82.47 |
| Bernd Hamann | 5 | 2283 | 206.78 |