English
DeutschTopological Subdivision Graphs for Comparative and Multifield Visualization
| Title | Topological Subdivision Graphs for Comparative and Multifield Visualization |
| Publication Type | Conference Paper |
| Year of Publication | 2020 |
| Authors | Heine, Christian, and Garth Christoph |
| Editor | Carr, Hamish, Fujishiro Issei, Sadlo Filip, and Takahashi Shigeo |
| Conference Name | Topological Methods in Data Analysis and Visualization V |
| Publisher | Springer International Publishing |
| Conference Location | Cham |
| ISBN Number | 978-3-030-43036-8 |
| Abstract | We propose that a topological model of a real-valued function can be employed to define a spatial subdivision of the function's domain. When multiple topologically-induced subdivisions for the same or different functions on the same domain are combined, a finer spatial subdivision arises: the topological subdivision complex. The topological subdivision graph then gives adjacency relations among the d-cells of the subdivision complex and can be used to describe similarities among topological models. We apply this idea to give new topological models for multiple real-valued functions (multifields), extending contour trees and Morse-Smale complexes to these problem settings, and we illustrate our idea for piecewise-linear functions. We also discuss how our work relates to joint contour nets. |
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