Journal of Mathematical Imaging and Vision
Bezier and B-Spline Techniques
Bezier and B-Spline Techniques
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
ISA and IBFVS: Image Space-Based Visualization of Flow on Surfaces
IEEE Transactions on Visualization and Computer Graphics
Visualization of Intricate Flow Structures for Vortex Breakdown Analysis
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
Anisotropy creases delineate white matter structure in diffusion tensor MRI
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
An Eulerian approach for computing the finite time Lyapunov exponent
Journal of Computational Physics
Pattern-guided smoke animation with lagrangian coherent structure
Proceedings of the 2011 SIGGRAPH Asia Conference
GPU and APU computations of Finite Time Lyapunov Exponent fields
Journal of Computational Physics
Nearly Recurrent Components in 3D Piecewise Constant Vector Fields
Computer Graphics Forum
Anisotropic mesh adaptation on Lagrangian Coherent Structures
Journal of Computational Physics
Interactive particle tracing in time-varying tetrahedral grids
EG PGV'11 Proceedings of the 11th Eurographics conference on Parallel Graphics and Visualization
Parallel particle advection and FTLE computation for time-varying flow fields
SC '12 Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis
Lagrangian visualization of flow-embedded surface structures
EuroVis'08 Proceedings of the 10th Joint Eurographics / IEEE - VGTC conference on Visualization
Lagrangian coherent structures with guaranteed material separation
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
Energy-scale aware feature extraction for flow visualization
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
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The recently introduced notion of Finite-Time Lyapunov Exponent to characterize Coherent Lagrangian Structures provides a powerful framework for the visualization and analysis of complex technical flows. Its definition is simple and intuitive, and it has a deep theoretical foundation. While the application of this approach seems straightforward in theory, the associated computational cost is essentially prohibitive. Due to the Lagrangian nature of this technique, a huge number of particle paths must be computed to fill the space-time flow domain.In this paper, we propose a novel scheme for the adaptive computation of FTLE fields in two and three dimensions that significantly reduces the number ofrequired particle paths. Furthermore, for three-dimensional flows, we show on several examples that meaningful results can be obtained by restricting the analysis to a well-chosen plane intersecting the flow domain. Finally, we examine some of the visualization aspects of FTLE-based methods and introduce several new variations that help in the analysis of specific aspects of a flow.