Path-line Oriented Visualization of Dynamical Flow Fields
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2008
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Abstract
An effective visual representation of dynamical flow behavior is still a challenging
problem of modern flow visualization. Path-lines are important characteristic
curves of dynamical flow fields. In this thesis, we focus on the visual analysis of
path-line behaviors and uncover the dynamical nature of a flow field. We propose
a topological segmentation of periodic 2D time-dependent vector fields based on
asymptotic path-line behaviors. A flow domain is classified into different areas
based on the converging or diverging path-line behaviors relating to the identified
critical path-lines. We also offer an alternative algorithm to extract the separation
surfaces of the path-line oriented topological structure. For the interactive visual
analysis of fluid motion, we propose an information visualization based approach
to explore the dynamical flow behaviors. Attributes associated with path-lines are
identified and analyzed and the interesting features or structures are extracted and
visualized with human interaction. We also investigate the property transport phenomenon
and propose an approach to visualize the finite-time transport structures
of property advection which is similar to carry out a line integral convolution over
physical properties along path-lines. We demonstrate our approaches on a number
of applications and present some interesting results.
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