Ta panta rei
(all things are in flux) Heraclitus (540-480 BC) |
As first chapter of this compilation of advanced visualization techniques for dynamical systems, stream arrows [51] and their hierarchical extension [50] are described. The use of stream surfaces [33] for the purpose of directly visualizing system dynamics is extended by several means:
(1) Arrows are added to the stream surface, coding direction and
orientation of the flow.
(2) Anisotropic spot noise is used to communicate time lines and
stream lines simultaneously within the stream surface.
(3) Selectively removing parts of the stream
surface allows to cope with occlusion and spatial registering.
(4) Extensions into 3D are proposed to include further
information, for example, the flow near the stream surface or
local properties.