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    Stream Surface Parametrization by Flow-Orthogonal Front Lines

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    Date
    2012
    Author
    Schulze, Maik
    Germer, Tobias
    Rössl, Christian
    Theisel, Holger
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    Abstract
    The generation of discrete stream surfaces is an important and challenging task in scientific visualization, which can be considered a particular instance of geometric modeling. The quality of numerically integrated stream surfaces depends on a number of parameters that can be controlled locally, such as time step or distance of adjacent vertices on the front line. In addition there is a parameter that cannot be controlled locally: stream surface meshes tend to show high quality, well-shaped elements only if the current front line is "globally" approximately perpendicular to the flow direction. We analyze the impact of this geometric property and present a novel solution a stream surface integrator that forces the front line to be perpendicular to the flow and that generates quaddominant meshes with well-shaped and well-aligned elements. It is based on the integration of a scaled version of the flow field, and requires repeated minimization of an error functional along the current front line. We show that this leads to computing the 1-dimensional kernel of a bidiagonal matrix: a linear problem that can be solved efficiently. We compare our method with existing stream surface integrators and apply it to a number of synthetic and real world data sets.
    BibTeX
    @article {10.1111:j.1467-8659.2012.03177.x,
    journal = {Computer Graphics Forum},
    title = {{Stream Surface Parametrization by Flow-Orthogonal Front Lines}},
    author = {Schulze, Maik and Germer, Tobias and Rössl, Christian and Theisel, Holger},
    year = {2012},
    publisher = {The Eurographics Association and Blackwell Publishing Ltd.},
    ISSN = {1467-8659},
    DOI = {10.1111/j.1467-8659.2012.03177.x}
    }
    URI
    http://dx.doi.org/10.1111/j.1467-8659.2012.03177.x
    Collections
    • 31-Issue 5
    • SGP12: Eurographics Symposium on Geometry Processing

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