Flow visualization for turbomachinery design
Proceedings of the 7th conference on Visualization '96
Vortex identification—applications in aerodynamics: a case study
VIS '97 Proceedings of the 8th conference on Visualization '97
A higher-order method for finding vortex core lines
Proceedings of the conference on Visualization '98
Selective visualization of vortices in hydrodynamic flows
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
PLIC: bridging the gap between streamlines and LIC
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
A Predictor-Corrector Technique for Visualizing Unsteady Flow
IEEE Transactions on Visualization and Computer Graphics
Vortex tubes in turbulent flows: identification, representation, reconstruction
VIS '94 Proceedings of the conference on Visualization '94
Handbook of Discrete and Combinatorial Mathematics, Second Edition
Handbook of Discrete and Combinatorial Mathematics, Second Edition
Computing singularities of 3D vector fields with Geometric Algebra
Proceedings of the conference on Visualization '02
Geometric verification of swirling features in flow fields
Proceedings of the conference on Visualization '02
Modeling and editing flows using advected radial basis functions
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Visualization of Intricate Flow Structures for Vortex Breakdown Analysis
VIS '04 Proceedings of the conference on Visualization '04
Visualization of the Energy-Containing Turbulent Scales
VV '04 Proceedings of the 2004 IEEE Symposium on Volume Visualization and Graphics
Clifford Fourier Transform on Vector Fields
IEEE Transactions on Visualization and Computer Graphics
Modeling and animating gases with simulation features
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
Vortex Visualization for Practical Engineering Applications
IEEE Transactions on Visualization and Computer Graphics
Brief notes on vortex identification
FM'11/HMT'11 Proceedings of the 8th WSEAS international conference on fluid mechanics, 8th WSEAS international conference on Heat and mass transfer
Interface Exchange as an Indicator for Eddy Heat Transport
Computer Graphics Forum
Surface techniques for vortex visualization
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
Visualization and analysis of eddies in a global ocean simulation
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
Implementation of visual data mining for unsteady blood flow field in an aortic aneurysm
Journal of Visualization
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In this paper we present a simple and efficient vortex core region detection algorithm based on ideas derived from combinatorial topology. These ideas originated from Sperner's lemma, which by itself is of little value to detecting vortex cores. However, we take these ideas from the lemma and apply them in a point-based fashion to detecting vortex core regions. The resulting algorithms for both 2D and 3D are quite simple and very efficient compared to existing ones. We applied our algorithms to both numerically simulated and procedurally generated datasets to illustrate the efficacy of our approach.