Uncertainty Visualization of 2D Morse Complex Ensembles Using Statistical Summary Maps
| Autor: | Tushar M. Athawale, Lin Yan, Dan Maljovec, Valerio Pascucci, Chris R. Johnson, Bei Wang |
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| Rok vydání: | 2022 |
| Předmět: |
Computer science
Scalar (mathematics) Scientific visualization 020207 software engineering 02 engineering and technology Morse code Computer Graphics and Computer-Aided Design Article law.invention Visualization law Signal Processing 0202 electrical engineering electronic engineering information engineering Computer Vision and Pattern Recognition Statistical physics Software Randomness Morse theory |
| Zdroj: | IEEE Trans Vis Comput Graph |
| ISSN: | 2160-9306 1077-2626 |
| Popis: | Morse complexes are gradient-based topological descriptors with close connections to Morse theory. They are widely applicable in scientific visualization as they serve as important abstractions for gaining insights into the topology of scalar fields. Data uncertainty inherent to scalar fields due to randomness in their acquisition and processing, however, limits our understanding of Morse complexes as structural abstractions. We, therefore, explore uncertainty visualization of an ensemble of 2D Morse complexes that arises from scalar fields coupled with data uncertainty. We propose several statistical summary maps as new entities for quantifying structural variations and visualizing positional uncertainties of Morse complexes in ensembles. Specifically, we introduce three types of statistical summary maps – the probabilistic map, the significance map, and the survival map – to characterize the uncertain behaviors of gradient flows. We demonstrate the utility of our proposed approach using wind, flow, and ocean eddy simulation datasets. |
| Databáze: | OpenAIRE |
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