Time‐varying Extremum Graphs
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Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
© 2024 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd.
Abstract
We 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.
Description
@article{10.1111:cgf.15162,
journal = {Computer Graphics Forum},
title = {{Time‐varying Extremum Graphs}},
author = {Das, Somenath and Sridharamurthy, Raghavendra and Natarajan, Vijay},
year = {2024},
publisher = {© 2024 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd.},
DOI = {10.1111/cgf.15162}
}