Scalar Field Comparison with Topological Descriptors: Properties and Applications for Scientific Visualization

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Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
In topological data analysis and visualization, topological descriptors such as persistence diagrams, merge trees, contour trees, Reeb graphs, and Morse-Smale complexes play an essential role in capturing the shape of scalar field data. We present a state-of-the-art report on scalar field comparison using topological descriptors. We provide a taxonomy of existing approaches based on visualization tasks associated with three categories of data: single fields, time-varying fields, and ensembles. These tasks include symmetry detection, periodicity detection, key event/feature detection, feature tracking, clustering, and structure statistics. Our main contributions include the formulation of a set of desirable mathematical and computational properties of comparative measures, and the classification of visualization tasks and applications that are enabled by these measures.
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@article{
10.1111:cgf.14331
, journal = {Computer Graphics Forum}, title = {{
Scalar Field Comparison with Topological Descriptors: Properties and Applications for Scientific Visualization
}}, author = {
Yan, Lin
and
Masood, Talha Bin
and
Sridharamurthy, Raghavendra
and
Rasheed, Farhan
and
Natarajan, Vijay
and
Hotz, Ingrid
and
Wang, Bei
}, year = {
2021
}, publisher = {
The Eurographics Association and John Wiley & Sons Ltd.
}, ISSN = {
1467-8659
}, DOI = {
10.1111/cgf.14331
} }
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