Topology-Based Methods in Visualization

Topology-based flow visualization, the state of the art

Robert S. Laramee, Helwig Hauser, Lingxiao Zhao, and Frits H. Post

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Flow visualization research has made rapid advances in recent years, especially in the area of topology-based flow visualization. The ever increasing size of scientific data sets favors algorithms that are capable of extracting important subsets of the data, leaving the scientist with a more manageable representation that may be visualized interactively. Extracting the topology of a flow achieves the goal of obtaining a compact representation of a vector or tensor field while simultaneously retaining its most important features. We present the state of the art in topology-based flow visualization techniques. We outline numerous topology-based algorithms categorized according to the type and dimensionality of data on which they operate and according to the goal-oriented nature of each method. Topology tracking algorithms are also discussed. The result serves as a useful introduction and overview to research literature concerned with the study of topology-based flow visualization.

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@incollection{bib:laramee:2007,
    author       = { Laramee, Robert S. and Hauser, Helwig and Zhao, Lingxiao and Post, Frits H. },    
    title        = { Topology-based flow visualization, the state of the art },
    booktitle    = { Topology-Based Methods in Visualization },
    editors      = { Helwig Hauser and Hans Hagen and Holger Theisel },
    year         = { 2007 },
    publisher    = { Springer Verlag, Mathematics and Visualization Series },
    dblp         = { books/sp/07/LarameeHZP07 },
    url          = { https://publications.graphics.tudelft.nl/papers/730 },
}