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Summary: Eigenvector-based Interpolation and
Segmentation of 2D Tensor Fields
Jaya Sreevalsan-Nair1
, Cornelia Auer2
, Bernd Hamann3
, and Ingrid Hotz2
1
Texas Advanced Computing Center, University of Texas at Austin
2
Visualization and Data Analysis, Zuse Institute Berlin, Germany
3
Institute for Data Analysis and Visualization, Dept. of CS, UC Davis
Abstract. We propose a topology-based segmentation of 2D symmet-
ric tensor fields, which results in cells bounded by tensorlines. We are
particularly interested in the influence of the interpolation scheme on
the topology, considering eigenvector-based and component-wise linear
interpolation. When using eigenvector-based interpolation the most sig-
nificant modification to the standard topology extraction algorithm is
the insertion of additional vertices at degenerate points. A subsequent
Delaunay re-triangulation leads to connections between close degener-
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