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Topological segmentation in three-dimensional vector fields.
IEEE Trans Vis Comput Graph. 2004 Mar-Apr; 10(2):198-205.IT

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.

Authors+Show Affiliations

Mahrous K
Center for Image Processing and Integrated Computing, Computer Science Department, University of California, Davis, CA 95616, USA. kmmahrous@ucdavis.edu
Bennett J
No affiliation info available
Scheuermann G
No affiliation info available
Hamann B
No affiliation info available
Joy KI
No affiliation info available

MeSH

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 Recording

Pub Type(s)

Comparative Study
Evaluation Study
Journal Article
Research Support, Non-U.S. Gov't
Research Support, U.S. Gov't, Non-P.H.S.
Research Support, U.S. Gov't, P.H.S.
Validation Study

Language

eng

PubMed ID

15384644

Citation

Mahrous, Karim, et al. "Topological Segmentation in Three-dimensional Vector Fields." IEEE Transactions On Visualization and Computer Graphics, vol. 10, no. 2, 2004, pp. 198-205.
Mahrous K, Bennett J, Scheuermann G, et al. Topological segmentation in three-dimensional vector fields. IEEE Trans Vis Comput Graph. 2004;10(2):198-205.
Mahrous, K., Bennett, J., Scheuermann, G., Hamann, B., & Joy, K. I. (2004). Topological segmentation in three-dimensional vector fields. IEEE Transactions On Visualization and Computer Graphics, 10(2), 198-205.
Mahrous K, et al. Topological Segmentation in Three-dimensional Vector Fields. IEEE Trans Vis Comput Graph. 2004 Mar-Apr;10(2):198-205. PubMed PMID: 15384644.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Topological segmentation in three-dimensional vector fields. AU - Mahrous,Karim, AU - Bennett,Janine, AU - Scheuermann,Gerik, AU - Hamann,Bernd, AU - Joy,Kenneth I, PY - 2004/9/24/pubmed PY - 2004/10/20/medline PY - 2004/9/24/entrez SP - 198 EP - 205 JF - IEEE transactions on visualization and computer graphics JO - IEEE Trans Vis Comput Graph VL - 10 IS - 2 N2 - 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. SN - 1077-2626 UR - https://www.unboundmedicine.com/medline/citation/15384644/Topological_segmentation_in_three_dimensional_vector_fields_ DB - PRIME DP - Unbound Medicine ER -