Introduction to algorithms
Fast isocontouring for improved interactivity
Proceedings of the 1996 symposium on Volume visualization
VIS '97 Proceedings of the 8th conference on Visualization '97
Contour trees and small seed sets for isosurface traversal
SCG '97 Proceedings of the thirteenth annual symposium on Computational geometry
Construction of contour trees in 3D in O(n log n) steps
Proceedings of the fourteenth annual symposium on Computational geometry
Extracting iso-valued features in 4-dimensional scalar fields
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Tracking scalar features in unstructured datasets
Proceedings of the conference on Visualization '98
Isosurface extraction in time-varying fields using a temporal hierarchical index tree
Proceedings of the conference on Visualization '98
Isosurface extraction in time-varying fields using a temporal branch-on-need tree (T-BON)
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Isosurfacing in higher dimensions
Proceedings of the conference on Visualization '00
Simplicial subdivisions and sampling artifacts
Proceedings of the conference on Visualization '01
Case study: application of feature tracking to analysis of autoignition simulation data
Proceedings of the conference on Visualization '01
Efficient computation of the topology of level sets
Proceedings of the conference on Visualization '02
Tracking and Visualizing Turbulent 3D Features
IEEE Transactions on Visualization and Computer Graphics
Computing contour trees in all dimensions
Computational Geometry: Theory and Applications - Fourth CGC workshop on computional geometry
Path seeds and flexible isosurfaces using topology for exploratory visualization
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
Computational Geometry: Theory and Applications - Special issue: The European workshop on computational geometry -- CG01
Time-varying reeb graphs for continuous space-time data
SCG '04 Proceedings of the twentieth annual symposium on Computational geometry
Simple and optimal output-sensitive construction of contour trees using monotone paths
Computational Geometry: Theory and Applications - Special issue on the 19th European workshop on computational geometry - EuroCG 03
Volume Tracking Using Higher Dimensional Isosurfacing
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Out-of-Core Isosurface Extraction of Time-Varying Fields over Irregular Grids
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Efficient isosurface tracking using precomputed correspondence table
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Understanding the Structure of the Turbulent Mixing Layer in Hydrodynamic Instabilities
IEEE Transactions on Visualization and Computer Graphics
Computer-Aided Design
Reeb graphs for shape analysis and applications
Theoretical Computer Science
Describing shapes by geometrical-topological properties of real functions
ACM Computing Surveys (CSUR)
Time-varying Reeb graphs for continuous space--time data
Computational Geometry: Theory and Applications
Journal of Biomedical Imaging
CGIM '07 Proceedings of the Ninth IASTED International Conference on Computer Graphics and Imaging
Generating time lines with virtual words for time-varying data visualization
Proceedings of the 5th International Symposium on Visual Information Communication and Interaction
Visualization and analysis of 3D time-varying simulations with time lines
Journal of Visual Languages and Computing
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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.