Contour trees and small seed sets for isosurface traversal
SCG '97 Proceedings of the thirteenth annual symposium on Computational geometry
The “parallel vectors” operator: a vector field visualization primitive
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
`` Direct Search'' Solution of Numerical and Statistical Problems
Journal of the ACM (JACM)
Vortex tracking in scale-space
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
A Predictor-Corrector Technique for Visualizing Unsteady Flow
IEEE Transactions on Visualization and Computer Graphics
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
A PREDICTOR-CORRECTOR SCHEME FOR VORTEX IDENTIFICATION
A PREDICTOR-CORRECTOR SCHEME FOR VORTEX IDENTIFICATION
Curve-Skeleton Properties, Applications, and Algorithms
IEEE Transactions on Visualization and Computer Graphics
Cores of Swirling Particle Motion in Unsteady Flows
IEEE Transactions on Visualization and Computer Graphics
Galilean invariant extraction and iconic representation of vortex core lines
EUROVIS'05 Proceedings of the Seventh Joint Eurographics / IEEE VGTC conference on Visualization
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We propose a novel vortex core line extraction method based on the λ2 vortex region criterion in order to improve the detection of vortex features for 3D flow visualization. The core line is defined as a curve that connects λ2 minima restricted to planes that are perpendicular to the core line. The basic algorithm consists of the following stages: (1) λ2 field construction and isosurface extraction; (2) computation of the curve skeleton of the λ2 isosurface to build an initial prediction for the core line; (3) correction of the locations of the prediction by searching for λ2 minima on planes perpendicular to the core line. In particular, we consider the topology of the vortex core lines, guaranteeing the same topology as the initial curve skeleton. Furthermore, we propose a geometryguided definition of vortex bifurcation, which represents the split of one core line into two parts. Finally, we introduce a user-guided approach in order to narrow down vortical regions taking into account the graph of λ2 along the computed vortex core line. We demonstrate the effectiveness of our method by comparing our results to previous core line detection methods with both simulated and experimental data; in particular, we show robustness of our method for noise-affected data.