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

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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Robert S. Laramee, Helwig Hauser, Lingxiao Zhao, and Frits H. Post, Topology-based flow visualization, the state of the art, Topology-Based Methods in Visualization, 2007.

BibTex

@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 },
    note         = { (note 978-3-540-70822-3) },
    dblp         = { books/sp/07/LarameeHZP07 },
    url          = { https://publications.graphics.tudelft.nl/papers/730 },
}