Time‐varying Extremum Graphs

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dc.contributor.authorDas, Somenathen_US
dc.contributor.authorSridharamurthy, Raghavendraen_US
dc.contributor.authorNatarajan, Vijayen_US
dc.contributor.editorAlliez, Pierreen_US
dc.contributor.editorWimmer, Michaelen_US
dc.date.accessioned2024-12-19T11:15:12Z
dc.date.available2024-12-19T11:15:12Z
dc.date.issued2024
dc.description.abstractWe introduce time‐varying extremum graph (), a topological structure to support visualization and analysis of a time‐varying scalar field. The extremum graph is a sub‐structure of the Morse–Smale complex. It captures the adjacency relationship between cells in the Morse decomposition of a scalar field. We define the  as a time‐varying extension of the extremum graph and demonstrate how it captures salient feature tracks within a dynamic scalar field. We formulate the construction of the  as an optimization problem and describe an algorithm for computing the graph. We also demonstrate the capabilities of  towards identification and exploration of topological events such as deletion, generation, split and merge within a dynamic scalar field via comprehensive case studies including a viscous fingers and a 3D von Kármán vortex street dataset.en_US
dc.description.number6
dc.description.sectionheadersORIGINAL ARTICLES
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume43
dc.identifier.doi10.1111/cgf.15162
dc.identifier.pages16 pages
dc.identifier.urihttps://doi.org/10.1111/cgf.15162
dc.identifier.urihttps://diglib.eg.org/handle/10.1111/cgf15162
dc.publisher© 2024 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd.en_US
dc.subjectvisualization
dc.subjectscientific visualization
dc.subjecttopological methods
dc.subjectextremum graphs
dc.titleTime‐varying Extremum Graphsen_US
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