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Title: Nested Tracking Graphs

Tracking graphs are a well established tool in topological analysis to visualize the evolution of components and their properties over time, i.e., when components appear, disappear, merge, and split. However, tracking graphs are limited to a single level threshold and the graphs may vary substantially even under small changes to the threshold. To examine the evolution of features for varying levels, users have to compare multiple tracking graphs without a direct visual link between them. We propose a novel, interactive, nested graph visualization based on the fact that the tracked superlevel set components for different levels are related to each other through their nesting hierarchy. This approach allows us to set multiple tracking graphs in context to each other and enables users to effectively follow the evolution of components for different levels simultaneously. We show the effectiveness of our approach on datasets from finite pointset methods, computational fluid dynamics, and cosmology simulations.
Authors:
 [1] ;  [2] ;  [3] ;  [1] ;  [1]
  1. Univ. of Kaiserslautern (Germany)
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  3. Arizona State Univ., Tempe, AZ (United States)
Publication Date:
Grant/Contract Number:
AC02-05CH11231
Type:
Accepted Manuscript
Journal Name:
Computer Graphics Forum
Additional Journal Information:
Journal Volume: 36; Journal Issue: 3; Journal ID: ISSN 0167-7055
Publisher:
Wiley
Research Org:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING
OSTI Identifier:
1379867

Lukasczyk, Jonas, Weber, Gunther, Maciejewski, Ross, Garth, Christoph, and Leitte, Heike. Nested Tracking Graphs. United States: N. p., Web. doi:10.1111/cgf.13164.
Lukasczyk, Jonas, Weber, Gunther, Maciejewski, Ross, Garth, Christoph, & Leitte, Heike. Nested Tracking Graphs. United States. doi:10.1111/cgf.13164.
Lukasczyk, Jonas, Weber, Gunther, Maciejewski, Ross, Garth, Christoph, and Leitte, Heike. 2017. "Nested Tracking Graphs". United States. doi:10.1111/cgf.13164. https://www.osti.gov/servlets/purl/1379867.
@article{osti_1379867,
title = {Nested Tracking Graphs},
author = {Lukasczyk, Jonas and Weber, Gunther and Maciejewski, Ross and Garth, Christoph and Leitte, Heike},
abstractNote = {Tracking graphs are a well established tool in topological analysis to visualize the evolution of components and their properties over time, i.e., when components appear, disappear, merge, and split. However, tracking graphs are limited to a single level threshold and the graphs may vary substantially even under small changes to the threshold. To examine the evolution of features for varying levels, users have to compare multiple tracking graphs without a direct visual link between them. We propose a novel, interactive, nested graph visualization based on the fact that the tracked superlevel set components for different levels are related to each other through their nesting hierarchy. This approach allows us to set multiple tracking graphs in context to each other and enables users to effectively follow the evolution of components for different levels simultaneously. We show the effectiveness of our approach on datasets from finite pointset methods, computational fluid dynamics, and cosmology simulations.},
doi = {10.1111/cgf.13164},
journal = {Computer Graphics Forum},
number = 3,
volume = 36,
place = {United States},
year = {2017},
month = {6}
}