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Abstract

We present a thread of streamlets as a new technique to visualize dynamical systems in three-space. A trade-off is made between solely visualizing a mathematical abstraction through lower-dimensional manifolds, i.e., characteristic structures such as fixed point, separatrices, etc., and directly encoding the flow through stream lines or stream surfaces. Bundlers of streamlets are selectively placed near characteristic trajectories. An over-population of phase space with occlusion problems as a consequence is omitted. On the other hand, information loss is minimized since characteristic structures of the flow are still illustrated in the visualization.

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@techreport{Loeffelmann-1998-EVC,
  title =      "Enhancing the Visualization of Characteristic Structures
	  
                    in Dynamical Systems",
  author =     "Helwig L{\"o}ffelmann and Meister Eduard Gr{\"o}ller",
  year =       "1998",
  abstract =   "We present a thread of streamlets as a new technique to
               visualize dynamical systems in three-space.  A trade-off is
               made between solely visualizing a mathematical abstraction
               through lower-dimensional manifolds, i.e., characteristic
               structures such as fixed point, separatrices, etc., and
               directly encoding the flow through stream lines or stream
               surfaces.  Bundlers of streamlets are selectively placed
               near characteristic trajectories. An over-population of
               phase space with occlusion problems as a consequence is
               omitted.  On the other hand, information loss is minimized
               since characteristic structures of the flow are still    
               illustrated in the visualization.",
  address =    "Favoritenstrasse 9-11/186, A-1040 Vienna, Austria",
  institution = "Institute of Computer Graphics and Algorithms, Vienna
               University of Technology",
  note =       "human contact: technical-report@cg.tuwien.ac.at",
  month =      jan,
  number =     "TR-186-2-98-05",
  keywords =   "visualization, dynamical systems",
  URL =        "http://www.cg.tuwien.ac.at/research/publications/1998/Loeffelmann-1998-EVC/",
}