Stochastic sampling in computer graphics
ACM Transactions on Graphics (TOG)
Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Local adaptive mesh refinement for shock hydrodynamics
Journal of Computational Physics
Geometry for n-dimensional graphics
Graphics gems IV
Interactive visualization of 3D-vector fields using illuminated stream lines
Proceedings of the 7th conference on Visualization '96
Automatic detection of open and closed separation and attachment lines
Proceedings of the conference on Visualization '98
C1-interpolation for vector field topology visualization
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
A level-set method for flow visualization
Proceedings of the conference on Visualization '00
A topology simplification method for 2D vector fields
Proceedings of the conference on Visualization '00
Constructing material interfaces from data sets with volume-fraction information
Proceedings of the conference on Visualization '00
A tetrahedra-based stream surface algorithm
Proceedings of the conference on Visualization '01
Feature Extraction of Separation and Attachment Lines *
IEEE Transactions on Visualization and Computer Graphics
Tools for Computing Tangent Curves for Linearly Varying Vector Fields over Tetrahedral Domains
IEEE Transactions on Visualization and Computer Graphics
Detection and Visualization of Closed Streamlines in Planar Flows
IEEE Transactions on Visualization and Computer Graphics
Topology-Preserving Smoothing of Vector Fields
IEEE Transactions on Visualization and Computer Graphics
IEEE Computer Graphics and Applications
VIS '93 Proceedings of the 4th conference on Visualization '93
Texture splats for 3D scalar and vector field visualization
VIS '93 Proceedings of the 4th conference on Visualization '93
Rendering Implicit Flow Volumes
VIS '04 Proceedings of the conference on Visualization '04
Visualization of Intricate Flow Structures for Vortex Breakdown Analysis
VIS '04 Proceedings of the conference on Visualization '04
Stream Line and Path Line Oriented Topology for 2D Time-Dependent Vector Fields
VIS '04 Proceedings of the conference on Visualization '04
Tracking of Vector Field Singularities in Unstructured 3D Time-Dependent Datasets
VIS '04 Proceedings of the conference on Visualization '04
Topological Methods for 2D Time-Dependent Vector Fields Based on Stream Lines and Path Lines
IEEE Transactions on Visualization and Computer Graphics
Proceedings of the 2006 ACM symposium on Solid and physical modeling
IEEE Transactions on Visualization and Computer Graphics
Nested OpenMP for efficient computation of 3D critical points in multi-block CFD datasets
Proceedings of the 2006 ACM/IEEE conference on Supercomputing
CFD visualisation: challenges of complex 3D and 4D data fields
International Journal of Computational Fluid Dynamics - CFD 2006 Held at Queens University at Kingston, Ontario, Canada, 1519 July 2006
Journal of Biomedical Imaging
Easy integral surfaces: a fast, quad-based stream and path surface algorithm
Proceedings of the 2009 Computer Graphics International Conference
Topologically relevant stream surfaces for flow visualization
Proceedings of the 25th Spring Conference on Computer Graphics
Path line oriented topology for periodic 2D time-dependent vector fields
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Smooth stream surfaces of fourth order precision
EuroVis'09 Proceedings of the 11th Eurographics / IEEE - VGTC conference on Visualization
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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.