Information

  • Publication Type: Technical Report
  • Workgroup(s)/Project(s): not specified
  • Date: March 1997
  • Number: TR-186-2-97-08
  • Keywords: dynamical system, multi-dimension visualization

Abstract

In recent years scientific visualization has been driven by the need to visualize high-dimensional data sets within high-dimensional spaces. However most visualization methods are designed for showing some statistical features of the data set. This paper deals with the visualization of trajectories of high-dimensional dynamical systems which form a L^n_n data set of a smooth n-dimensional flow. Three methods that are based on the idea of parallel coordinates are presented and discussed. Visualizations done with these new methods are shown and an interactive visualization tool for the exploration of high-dimensional dynamical systems is proposed.

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BibTeX

@techreport{Wegenkittl-97-VBH,
  title =      "Visualizing the Behavior of Higher Dimensional              
                 Dynamical Systems",
  author =     "Rainer Wegenkittl and Helwig L\"{o}ffelmann and Eduard
               Gr\"{o}ller",
  year =       "1997",
  abstract =   "In recent years scientific visualization has been driven by
               the need to visualize high-dimensional data sets within
               high-dimensional spaces. However most visualization methods
               are designed for showing some statistical features of the
               data set. This paper deals with the visualization of
               trajectories of high-dimensional dynamical systems which
               form a L^n_n data set of a smooth n-dimensional flow. Three
               methods that are based on the idea of parallel coordinates
               are presented and discussed. Visualizations done with these
               new methods are shown and an interactive visualization tool
               for the exploration of high-dimensional dynamical systems is
               proposed.",
  month =      mar,
  number =     "TR-186-2-97-08",
  address =    "Favoritenstrasse 9-11/E193-02, A-1040 Vienna, Austria",
  institution = "Institute of Computer Graphics and Algorithms, Vienna
               University of Technology ",
  note =       "human contact: technical-report@cg.tuwien.ac.at",
  keywords =   "dynamical system, multi-dimension visualization",
  URL =        "https://www.cg.tuwien.ac.at/research/publications/1997/Wegenkittl-97-VBH/",
}