43-Issue 6

Permanent URI for this collection

https://diglib.eg.org/handle/10.2312/3607093

Browse

Browsing 43-Issue 6 by Subject "extremum graphs"

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    Time‐varying Extremum Graphs
    (© 2024 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd., 2024) Das, Somenath; Sridharamurthy, Raghavendra; Natarajan, Vijay; Alliez, Pierre; Wimmer, Michael
    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.