@InProceedings{theisel04a,
  author    = {H.~Theisel and T.~Weinkauf and H.-C.~Hege and H.-P.~Seidel},
  title     = {Stream Line and Path Line Oriented Topology for {2D} Time-Dependent Vector Fields},
  booktitle = {Proc. IEEE Visualization 2004},
  year      = {2004},
  editor    = {H.~Rushmeier and J.~J.~van~Wijk and G.~Turk},
  pages     = {321--328},
  address   = {Austin, U.S.A.},
  month     = {October},
  abstract  = {Topological methods aim at the segmentation of a vector field into
              areas of different flow behavior. For 2D time-dependent vector fields,
              two such segmentations are possible: either concerning the behavior
              of stream lines, or of path lines. While stream line oriented topology
              is well established, we introduce path line oriented topology as
              a new visualization approach in this paper. As a contribution to
              stream line oriented topology we introduce new methods to detect
              global bifurcations like saddle connections and cyclic fold bifurcations.
              To get the path line oriented topology we segment the vector field
              into areas of attracting, repelling and saddle-like behavior of the
              path lines. We compare both kinds of topologies and apply them to
              a number of data sets.},
  day       = {10 - 15},
  keywords  = {flow visualization, vector field topology, bifurcations, stream lines, path lines},
  url = {http://tinoweinkauf.net/publications/abstheisel04a.html},
}