A lemon is not a monstar: Visualization of singularities of symmetric second rank tensor fields in the plane

J. Liu, W. T. Hewitt, W. R B Lionheart, J. Montaldi, M. Turner

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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    Abstract

    In the visualization of the topology of second rank symmetric tensor fields in the plane one can extract some key points (degenerate points), and curves (separatrices) that characterize the qualitative behaviour of the whole tensor field. This can provide a global structure of the whole tensor field, and effectively reduce the complexity of the original data. To construct this global structure it is important to classify those degenerate points accurately. However, in existing visualization techniques, a degenerate point is only classified into two types: trisector and wedge types. In this work, we will apply the theory from the analysis of binary differential equations and demonstrate that, topologically, a simple degenerate point should be classified into three types: star (trisector), lemon and monstar. The later two types were mistakenly regarded as a single type in the existing visualization techniques. © The Eurographics Association 2008.
    Original languageEnglish
    Title of host publicationTheory and Practice of Computer Graphics 2008, TPCG 2008 - Eurographics UK Chapter Proceedings|Theory Pract. Comput. Graph., TPCG - Eurographics UK Chapter Proc.
    Place of PublicationManchester
    PublisherEurographics Association
    Pages99-106
    Number of pages7
    ISBN (Print)9783905673678
    DOIs
    Publication statusPublished - 2008
    Event6th Theory and Practice of Computer Graphics Conference, TPCG 2008 - Manchester
    Duration: 1 Jul 2008 → …
    http://diglib.eg.org/EG/DL/LocalChapterEvents/TPCG/TPCG08/099-106.pdf

    Conference

    Conference6th Theory and Practice of Computer Graphics Conference, TPCG 2008
    CityManchester
    Period1/07/08 → …
    Internet address

    Keywords

    • tensor field
    • singularity
    • visualization

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