Paper Info
Title
Coherent Structures of Characteristic Curves in Symmetric Second Order Tensor Fields.
Abstract
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 semi-global method for visualizing coherent structures in symmetric second order tensor fields. We demonstrate the usefulness in examples from DT-MRI, uncovering anatomical structures in linear 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. Lastly, an accelerated implementation utilizing GPUs is presented.
Year
DOI
Venue
2011
10.1109/TVCG.2010.107
IEEE Trans. Vis. Comput. Graph.
Keywords
Field
DocType
coherent structures,accelerated implementation,generic mapping,anatomical structure,lagrangian coherent structure,coherent region,characteristic curves,order tensor field,major application,flow map,symmetric second order tensor,coherent structure,tensor field,visualization,tensile stress,tensors,computational geometry,indexing terms,data visualisation,stress tensor,second order,anisotropic magnetoresistance,feature extraction,diffusion tensor imaging,graphics hardware,vector field,lagrangian coherent structures
Tensor,Vector field,Computer science,Mathematical analysis,Computational geometry,Tensor field,Pure mathematics,Stress (mechanics),Symmetric tensor,Theoretical computer science,Flow map,Cauchy stress tensor
Journal
Volume
Issue
ISSN
17
6
1941-0506
Citations 
PageRank 
References 
4
0.39
25
Authors
4
Name
Order
Citations
PageRank
Marcel Hlawatsch11289.80
Joachim E. Vollrath2131.37
Filip Sadlo345733.92
Daniel Weiskopf42988204.30