Browsing by Author "Sridharamurthy, Raghavendra"

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    Scalar Field Comparison with Topological Descriptors: Properties and Applications for Scientific Visualization
    (The Eurographics Association and John Wiley & Sons Ltd., 2021) Yan, Lin; Masood, Talha Bin; Sridharamurthy, Raghavendra; Rasheed, Farhan; Natarajan, Vijay; Hotz, Ingrid; Wang, Bei; Smit, Noeska and Vrotsou, Katerina and Wang, Bei
    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.