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

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dc.contributor.authorYan, Linen_US
dc.contributor.authorMasood, Talha Binen_US
dc.contributor.authorSridharamurthy, Raghavendraen_US
dc.contributor.authorRasheed, Farhanen_US
dc.contributor.authorNatarajan, Vijayen_US
dc.contributor.authorHotz, Ingriden_US
dc.contributor.authorWang, Beien_US
dc.contributor.editorSmit, Noeska and Vrotsou, Katerina and Wang, Beien_US
dc.date.accessioned2021-06-12T11:12:43Z
dc.date.available2021-06-12T11:12:43Z
dc.date.issued2021
dc.description.abstractIn 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.en_US
dc.description.documenttypestar
dc.description.number3
dc.description.sectionheadersScalar Field Topology and Astrophysics
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume40
dc.identifier.doi10.1111/cgf.14331
dc.identifier.issn1467-8659
dc.identifier.pages599-633
dc.identifier.urihttps://doi.org/10.1111/cgf.14331
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf14331
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.titleScalar Field Comparison with Topological Descriptors: Properties and Applications for Scientific Visualizationen_US
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