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PubMed · 15384644

Topological segmentation in three-dimensional vector fields.

Karim Mahrous·Janine Bennett·Gerik Scheuermann·Bernd Hamann·Kenneth I Joy
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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 algorithms that generate the separating surfaces. This method is applied to generate local separatrices in the field, defined by a movable boundary region placed 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.

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AlgorithmsComputer GraphicsComputer SimulationImage EnhancementImage Interpretation, Computer-AssistedImaging, Three-DimensionalInformation Storage and RetrievalNumerical Analysis, Computer-AssistedPattern Recognition, AutomatedReproducibility of ResultsRheologySensitivity and SpecificitySignal Processing, Computer-AssistedUser-Computer InterfaceVideo RecordingComparative StudyEvaluation StudyJournal ArticleResearch Support, Non-U.S. Gov'tResearch Support, U.S. Gov't, Non-P.H.S.Research Support, U.S. Gov't, P.H.S.Validation Study

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Karim Mahrous, Janine Bennett, Gerik Scheuermann, Bernd Hamann, Kenneth I Joy. Topological segmentation in three-dimensional vector fields.. https://doi.org/10.1109/tvcg.2004.1260771

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