Related Experiment Video
Updated: Aug 14, 2026

Inducing Apical Periodontitis in Mice
Published on: August 6, 2019
Time-varying contour topology
Bong-Soo Sohn1, Chandrajit Bajaj
1Department of Computer Sciences, TAY 2.124, The University of Texas at Austin, TX 78712-1188, USA. bongbong@cs.utexas.edu
Abstract:
The contour tree has been used to compute the topology of isosurfaces, generate a minimal seed set for accelerated isosurface extraction, and provide a user interface to segment individual contour components in a scalar field. In this paper, we extend the benefits of the contour tree to time-varying data visualization. We define temporal correspondence of contour components and describe an algorithm to compute the correspondence information in time-dependent contour trees. A graph representing the topology changes of time-varying isosurfaces is constructed in real-time for any selected isovalue using the precomputed correspondence information. Quantitative properties, such as surface area and volume of contour components, are computed and labeled on the graph. This topology change graph helps users to detect significant topological and geometric changes in time-varying isosurfaces. The graph is also used as an interactive user interface to segment, track, and visualize the evolution of any selected contour components over time.
Related Concept Videos
Level Curves and Contour Maps
Topographic Surveying and Contours
Methods of Obtaining Topography
Limits with Oscillating Discontinuities
Tangent Planes to a Parametric Surface
Plotting of Topographic Maps
