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Probabilistic Gradient-Based Extrema Tracking
Linköping University, Department of Science and Technology, Media and Information Technology. Linköping University, Faculty of Science & Engineering.
TU Kaiserslautern, Germany.
Linköping University, Department of Science and Technology, Media and Information Technology. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0001-5352-1086
TU Kaiserslautern, Germany.
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2023 (English)In: 2023 Topological Data Analysis and Visualization (TopoInVis), IEEE, 2023, p. 72-81Conference paper, Published paper (Refereed)
Abstract [en]

Feature tracking is a common task in visualization applications, where methods based on topological data analysis (TDA) have successfully been applied in the past for feature definition as well as tracking. In this work, we focus on tracking extrema of temporal scalar fields. A family of TDA approaches address this task by establishing one-to-one correspondences between extrema based on discrete gradient vector fields. More specifically, two extrema of subsequent time steps are matched if they fall into their respective ascending and descending manifolds. However, due to this one-to-one assignment, these approaches are prone to fail where, e.g., extrema are located in regions with low gradient magnitude, or are located close to boundaries of the manifolds. Therefore, we propose a probabilistic matching that captures a larger set of possible correspondences via neighborhood sampling, or by computing the overlap of the manifolds. We illustrate the usefulness of the approach with two application cases.

Place, publisher, year, edition, pages
IEEE, 2023. p. 72-81
Keywords [en]
Feature tracking, Manifolds, Data analysis, Data visualization, Task analysis
National Category
Computer Sciences Human Computer Interaction
Identifiers
URN: urn:nbn:se:liu:diva-208064DOI: 10.1109/TopoInVis60193.2023.00014ISBN: 979-8-3503-2964-3 (electronic)ISBN: 979-8-3503-2965-0 (print)OAI: oai:DiVA.org:liu-208064DiVA, id: diva2:1902080
Conference
IEEE Workshop on Topological Data Analysis and Visualization (TopoInVis), Melbourne, Oct 22, 2023
Funder
Swedish e‐Science Research CenterELLIIT - The Linköping‐Lund Initiative on IT and Mobile CommunicationsSwedish Research Council, 2019-05487
Note

This work is supported by SeRC (Swedish e-Science Research Center), ELLIIT environment for strategic research in Sweden, and the Swedish Research Council (VR) grant 2019-05487.

Available from: 2024-10-01 Created: 2024-10-01 Last updated: 2025-11-17

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Nilsson, EmmaMasood, Talha BinHotz, Ingrid

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