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Issue No. 06 - June (2011 vol. 17)
ISSN: 1077-2626
pp: 781-794
Marcel Hlawatsch , Universität Stuttgart (VISUS), Stuttgart
Joachim E. Vollrath , Universität Stuttgart (VISUS), Stuttgart
Filip Sadlo , Universität Stuttgart (VISUS), Stuttgart
Daniel Weiskopf , Universität Stuttgart (VISUS), Stuttgart
This paper generalizes the concept of Lagrangian coherent structures, which is known for its potential to visualize coherent regions in vector fields and to distinguish them from each other. In particular, we extend the concept of the flow map to generic mappings of coordinates. As the major application of this generalization, we present a semiglobal method for visualizing coherent structures in symmetric second order tensor fields. We demonstrate the usefulness by examples from DT-MRI, uncovering anatomical structures in linearly anisotropic regions not amenable to local feature criteria. To further exemplify the suitability of our concept, we also present its application to stress tensor fields. Last, an accelerated implementation utilizing GPUs is presented.
Lagrangian coherent structures, feature extraction, tensor field visualization, tensor field topology, general-purpose computation using graphics hardware.

D. Weiskopf, F. Sadlo, M. Hlawatsch and J. E. Vollrath, "Coherent Structures of Characteristic Curves in Symmetric Second Order Tensor Fields," in IEEE Transactions on Visualization & Computer Graphics, vol. 17, no. , pp. 781-794, 2010.
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