Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Journal of Mathematical Imaging and Vision
Interactive visualization of 3D-vector fields using illuminated stream lines
Proceedings of the 7th conference on Visualization '96
Flow visualization for turbomachinery design
Proceedings of the 7th conference on Visualization '96
A higher-order method for finding vortex core lines
Proceedings of the conference on Visualization '98
The “parallel vectors” operator: a vector field visualization primitive
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Collapsing flow topology using area metrics
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Geometric verification of swirling features in flow fields
Proceedings of the conference on Visualization '02
A Predictor-Corrector Technique for Visualizing Unsteady Flow
IEEE Transactions on Visualization and Computer Graphics
Visualizing Nonlinear Vector Field Topology
IEEE Transactions on Visualization and Computer Graphics
Detection and Visualization of Closed Streamlines in Planar Flows
IEEE Transactions on Visualization and Computer Graphics
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
A tool for visualizing the topology of three-dimensional vector fields
VIS '91 Proceedings of the 2nd conference on Visualization '91
Visualization of Intricate Flow Structures for Vortex Breakdown Analysis
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
Saddle Connectors - An Approach to Visualizing the Topological Skeleton of Complex 3D Vector Fields
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Reconstruction of volume data with quadratic super splines
IEEE Transactions on Visualization and Computer Graphics
Computation of Localized Flow for Steady and Unsteady Vector Fields and Its Applications
IEEE Transactions on Visualization and Computer Graphics
Efficient Visualization of Lagrangian Coherent Structures by Filtered AMR Ridge Extraction
IEEE Transactions on Visualization and Computer Graphics
Cores of Swirling Particle Motion in Unsteady Flows
IEEE Transactions on Visualization and Computer Graphics
Vortex Analysis in Uncertain Vector Fields
Computer Graphics Forum
Priority streamlines: a context-based visualization of flow fields
EUROVIS'07 Proceedings of the 9th Joint Eurographics / IEEE VGTC conference on Visualization
Topology-preserving λ2-based vortex core line detection for flow visualization
EuroVis'08 Proceedings of the 10th Joint Eurographics / IEEE - VGTC conference on Visualization
Fast extraction of high-quality crease surfaces for visual analysis
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
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While vortex region quantities are Galilean invariant, most methods for extracting vortex cores depend on the frame of reference. We present an approach to extracting vortex core lines independently of the frame of reference by extracting ridge and valley lines of Galilean invariant vortex region quantities. We discuss a generalization of this concept leading to higher dimensional features. For the visualization of extracted line features we use an iconic representation indicating their scale and extent. We apply our approach to datasets from numerical simulations and experimental measurements.