Visualizing local vector field topology

Gerik Scheuermann; Bernd Hamann; Kenneth I. Joy; Wolfgang Kollmann

doi:10.1117/1.1289350

1 October 2000 Visualizing local vector field topology

Gerik Scheuermann, Bernd Hamann, Kenneth I. Joy, Wolfgang Kollmann

Journal of Electronic Imaging, Vol. 9, Issue 4, (October 2000). https://doi.org/10.1117/1.1289350

The visualization of vector fields has attracted much attention over the last decade due to the vast variety of applications in science and engineering. Topological methods have been used intensively for global structure extraction and analysis. Recently, there has been a growing interest in local structure analysis due to its connection to automatic feature extraction and speed. We present an algorithm that extracts local topological structure of arbitrary regions in a two-dimensional vector field. It is based on a mathematical analysis of the topological vector field structure in these regions. The algorithm deals with piecewise linear vector fields and arbitrary polygonal regions. We have tested the algorithm for well known analytic vector fields and data sets resulting from computational fluid dynamics.

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Gerik Scheuermann, Bernd Hamann, Kenneth I. Joy, and Wolfgang Kollmann "Visualizing local vector field topology," Journal of Electronic Imaging 9(4), (1 October 2000). https://doi.org/10.1117/1.1289350

Published: 1 October 2000

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