Monte Carlo methods. Vol. 1: basics
Monte Carlo methods. Vol. 1: basics
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
Vortex tracking in scale-space
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
Probabilistic surfaces: point based primitives to show surface uncertainty
Proceedings of the conference on Visualization '02
Vortex tubes in turbulent flows: identification, representation, reconstruction
VIS '94 Proceedings of the conference on Visualization '94
Animated visual vibrations as an uncertainty visualisation technique
Proceedings of the 2nd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Display of Vector Fields Using a Reaction-Diffusion Model
VIS '04 Proceedings of the conference on Visualization '04
Cores of Swirling Particle Motion in Unsteady Flows
IEEE Transactions on Visualization and Computer Graphics
A Spreadsheet Approach to Facilitate Visualization of Uncertainty in Information
IEEE Transactions on Visualization and Computer Graphics
Uncertain topology of 3D vector fields
PACIFICVIS '11 Proceedings of the 2011 IEEE Pacific Visualization Symposium
Flow Radar Glyphs—Static Visualization of Unsteady Flow with Uncertainty
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
Closed stream lines in uncertain vector fields
Proceedings of the 27th Spring Conference on Computer Graphics
Nonparametric models for uncertainty visualization
EuroVis '13 Proceedings of the 15th Eurographics Conference on Visualization
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We present an approach to extract and visualize vortex structures in uncertain vector fields. For this, we generalize the concepts of the most common vortex detectors to uncertain vector fields, namely the λ2-criterion, Q-criterion, and the concept of parallel vectors at the example of the method by Sujudi and Haimes. All these methods base on the computation of derivatives of the uncertain vector field which are uncertain fields as well. Since they generally cannot be computed in a closed form, we provide a Monte Carlo algorithm to compute the respective probability distributions. Based on this, uncertain versions of vortex regions and core structures are introduced. We present results of our approach on three real world data sets in order to give a proof of concept. © 2012 Wiley Periodicals, Inc.