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 substantial...

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Published inComputer graphics forum Vol. 36; no. 3; pp. 12 - 22
Main Authors Lukasczyk, Jonas, Weber, Gunther, Maciejewski, Ross, Garth, Christoph, Leitte, Heike
Format Journal Article
LanguageEnglish
Published Oxford Blackwell Publishing Ltd 01.06.2017
Wiley
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ISSN0167-7055
1467-8659
DOI10.1111/cgf.13164

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Abstract 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 demonstrate the effectiveness of our approach on datasets from finite pointset methods, computational fluid dynamics, and cosmology simulations.
AbstractList 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 demonstrate the effectiveness of our approach on datasets from finite pointset methods, computational fluid dynamics, and cosmology simulations.
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.
Author Leitte, Heike
Weber, Gunther
Maciejewski, Ross
Lukasczyk, Jonas
Garth, Christoph
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  surname: Lukasczyk
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  givenname: Gunther
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  fullname: Weber, Gunther
  organization: University of California
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  givenname: Ross
  surname: Maciejewski
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  organization: Arizona State University
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  givenname: Christoph
  surname: Garth
  fullname: Garth, Christoph
  organization: TU Kaiserslautern
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  givenname: Heike
  surname: Leitte
  fullname: Leitte, Heike
  organization: TU Kaiserslautern
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SubjectTerms Categories and Subject Descriptors (according to ACM CCS)
Computational fluid dynamics
Computer simulation
Cosmology
Data [Computer Graphics]: Data Structures—Graphs and Networks
Graphs
MATHEMATICS AND COMPUTING
Nesting
Topology
Tracking
Title Nested Tracking Graphs
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