Temporally Coherent Topological Landscapes for Time-varying Scalar Fields

: Topological structures capture the main features of scalar fields. Topological landscapes have been proposed for an intuitive depiction of n -dimensional scalar field topology using 2D landscapes with matching topology. For time-varying scalar fields, each time step could be visualized by a 2D landscape, but there would be no temporal coherence among the landscapes. We propose the concept of a time-varying contour tree that is obtained by merging contour trees of all time steps into a meta data structure. The time-varying contour tree can be exploited to generate temporally coherent topological landscapes. Visual analysis of time-varying scalar field topology is, then, supported by animating landscapes over time or by volume rendering a stack of temporal slices that represent color-coded landscapes.

• Publication year

  2020

• Venue

  VISIGRAPP

• Publication date

  Unknown publication date

• Fields of study

  Mathematics, Physics, Computer Science

• Identifiers
  DOI 10.5220/0008956300540061
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Temporal Treemaps: Static Visualization of Evolving Trees

  2019influential reference
• Stable Treemaps via Local Moves

  2018cited by this paper
• The Topology ToolKit

  2018cited by this paper
• EvoCells - A Treemap Layout Algorithm for Evolving Tree Data

  2018cited by this paper
• Nested Tracking Graphs

  2017cited by this paper
• Computing and Visualizing Time-Varying Merge Trees for High-Dimensional Data

  2015cited by this paper
• Fast and Robust Isosurface Similarity Maps Extraction Using Quasi-Monte Carlo Approach

  2014cited by this paper
• Visualization of varying hierarchies by stable layout of voronoi treemaps

  2014cited by this paper
• Visualizing Contour Distributions in 2D Ensemble Data

  2013cited by this paper
• Computing Reeb Graphs as a Union of Contour Trees

  2013cited by this paper
• Geometry-preserving topological landscapes

  2012cited by this paper
• Drawing Contour Trees in the Plane

  2011cited by this paper
• Feature Tracking Using Reeb Graphs

  2010cited by this paper
• Analyzing and Tracking Burning Structures in Lean Premixed Hydrogen Flames

  2010cited by this paper
• Topological Landscape Ensembles for Visualization of Scalar‐Valued Functions

  2010cited by this paper
• Revisiting Histograms and Isosurface Statistics

  2008cited by this paper
• Topological Landscapes: A Terrain Metaphor for Scientific Data

  2007influential reference
• Time-varying contour topology

  2006cited by this paper
• Multi-Resolution computation and presentation of Contour Trees

  2005cited by this paper
• Time-varying reeb graphs for continuous space-time data

  2004cited by this paper
• Computing contour trees in all dimensions

  2000influential reference
• Morse Theory. (Am-51), Volume 51

  1963cited by this paper

• A Systematic Review of 3D Metaphoric Information Visualization

  2023cites this paper
• Geometry-Aware Merge Tree Comparisons for Time-Varying Data With Interleaving Distances

  2021cites this paper
• Coherent Topological Landscapes for Simulation Ensembles

  2020cites this paper