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    The Dependent Vectors Operator

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    Date
    2019
    Author
    Hofmann, Lutz ORCID
    Sadlo, Filip ORCID
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    Abstract
    In this paper, we generalize the parallel vectors operator due to Peikert and Roth to arbitrary dimension, i.e., to four-dimensional fields and beyond. Whereas the original operator tested for parallelism of two (derived) 2D or 3D vector fields, we reformulate the concept in terms of linear dependency of sets of vector fields, and propose a generic technique to extract and filter the solution manifolds.We exemplify our approach for vortex cores, bifurcations, and ridges as well as valleys in higher dimensions.
    BibTeX
    @article {10.1111:cgf.13687,
    journal = {Computer Graphics Forum},
    title = {{The Dependent Vectors Operator}},
    author = {Hofmann, Lutz and Sadlo, Filip},
    year = {2019},
    publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
    ISSN = {1467-8659},
    DOI = {10.1111/cgf.13687}
    }
    URI
    https://doi.org/10.1111/cgf.13687
    https://diglib.eg.org:443/handle/10.1111/cgf13687
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    • 38-Issue 3

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