• Login
    View Item 
    •   Eurographics DL Home
    • Computer Graphics Forum
    • Volume 38 (2019)
    • 38-Issue 3
    • View Item
    •   Eurographics DL Home
    • Computer Graphics Forum
    • Volume 38 (2019)
    • 38-Issue 3
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Towards Glyphs for Uncertain Symmetric Second-Order Tensors

    Thumbnail
    View/Open
    v38i3pp325-336.pdf (13.28Mb)
    1045-file1.mp4 (33.77Mb)
    Date
    2019
    Author
    Gerrits, Tim
    Rössl, Christian
    Theisel, Holger
    Pay-Per-View via TIB Hannover:

    Try if this item/paper is available.

    Metadata
    Show full item record
    Abstract
    Measured data often incorporates some amount of uncertainty, which is generally modeled as a distribution of possible samples. In this paper, we consider second-order symmetric tensors with uncertainty. In the 3D case, this means the tensor data consists of 6 coefficients - uncertainty, however, is encoded by 21 coefficients assuming a multivariate Gaussian distribution as model. The high dimension makes the direct visualization of tensor data with uncertainty a difficult problem, which was until now unsolved. The contribution of this paper consists in the design of glyphs for uncertain second-order symmetric tensors in 2D and 3D. The construction consists of a standard glyph for the mean tensor that is augmented by a scalar field that represents uncertainty. We show that this scalar field and therefore the displayed glyph encode the uncertainty comprehensively, i.e., there exists a bijective map between the glyph and the parameters of the distribution. Our approach can extend several classes of existing glyphs for symmetric tensors to additionally encode uncertainty and therefore provides a possible foundation for further uncertain tensor glyph design. For demonstration, we choose the well-known superquadric glyphs, and we show that the uncertainty visualization satisfies all their design constraints.
    BibTeX
    @article {10.1111:cgf.13692,
    journal = {Computer Graphics Forum},
    title = {{Towards Glyphs for Uncertain Symmetric Second-Order Tensors}},
    author = {Gerrits, Tim and Rössl, Christian and Theisel, Holger},
    year = {2019},
    publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
    ISSN = {1467-8659},
    DOI = {10.1111/cgf.13692}
    }
    URI
    https://doi.org/10.1111/cgf.13692
    https://diglib.eg.org:443/handle/10.1111/cgf13692
    Collections
    • 38-Issue 3

    Eurographics Association copyright © 2013 - 2023 
    Send Feedback | Contact - Imprint | Data Privacy Policy | Disable Google Analytics
    Theme by @mire NV
    System hosted at  Graz University of Technology.
    TUGFhA
     

     

    Browse

    All of Eurographics DLCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    LoginRegister

    Statistics

    View Usage Statistics

    BibTeX | TOC

    Create BibTeX Create Table of Contents

    Eurographics Association copyright © 2013 - 2023 
    Send Feedback | Contact - Imprint | Data Privacy Policy | Disable Google Analytics
    Theme by @mire NV
    System hosted at  Graz University of Technology.
    TUGFhA