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TitleTopological Segmentation in Three-Dimensional Vector Fields (Article)
inIEEE Transactions on Visualization and Computer Graphics
Author(s) Karim Mahrous, Janine Bennett, Gerik Scheuermann, Bernd Hamann, Ken Joy
Keyword(s)Flow fields, Topology, Segmentation
Year 2004
Volume10
Number2
InstitutionUC Davis Computer Science Department
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Abstract We present a new method for topological segmentation in steady three-dimensional vector fields. Depending on desired properties, the algorithm replaces the original vector field by a derived segmented data set, which is utilized to produce separating surfaces in the vector field. We define the concept of a segmented data set, develop methods that produce the segmented data by sampling the vector field with streamlines, and describe the algoritms that generate the separating surfaces. This method is applied to generate local separatrices in the field. The resulting partitions can be visualized using standard techniques for a visualization of a vector field at a higher level of abstraction.