A Lemon is not a Monstar: Visualization of Singularities of Symmetric Second Rank Tensor Fields in the Plane

dc.contributor.authorLiu, J.en_US
dc.contributor.authorHewitt, W. T.en_US
dc.contributor.authorLionheart, W. R. B.en_US
dc.contributor.authorMontaldi, J.en_US
dc.contributor.authorTurner, M.en_US
dc.contributor.editorIk Soo Lim and Wen Tangen_US
dc.date.accessioned2014-01-31T20:02:22Z
dc.date.available2014-01-31T20:02:22Z
dc.date.issued2008en_US
dc.description.abstractIn 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.en_US
dc.description.seriesinformationTheory and Practice of Computer Graphicsen_US
dc.identifier.isbn978-3-905673-67-8en_US
dc.identifier.urihttps://doi.org/10.2312/LocalChapterEvents/TPCG/TPCG08/099-106en_US
dc.publisherThe Eurographics Associationen_US
dc.titleA Lemon is not a Monstar: Visualization of Singularities of Symmetric Second Rank Tensor Fields in the Planeen_US
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