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 language | English |
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Title of host publication | Theory and Practice of Computer Graphics 2008, TPCG 2008 - Eurographics UK Chapter Proceedings|Theory Pract. Comput. Graph., TPCG - Eurographics UK Chapter Proc. |
Place of Publication | Manchester |
Publisher | Eurographics Association |
Pages | 99-106 |
Number of pages | 7 |
ISBN (Print) | 9783905673678 |
DOIs | |
Publication status | Published - 2008 |
Event | 6th 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
Conference | 6th Theory and Practice of Computer Graphics Conference, TPCG 2008 |
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City | Manchester |
Period | 1/07/08 → … |
Internet address |
Keywords
- tensor field
- singularity
- visualization