Information
- Publication Type: Technical Report
- Workgroup(s)/Project(s): not specified
- Date: January 1998
- Number: TR-186-2-98-05
- Keywords: visualization, dynamical systems
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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BibTeX
@techreport{Loeffelmann-1998-EVC,
title = "Enhancing the Visualization of Characteristic Structures
in Dynamical Systems",
author = "Helwig L\"{o}ffelmann and 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.",
month = jan,
number = "TR-186-2-98-05",
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 = "visualization, dynamical systems",
URL = "https://www.cg.tuwien.ac.at/research/publications/1998/Loeffelmann-1998-EVC/",
}