Summary: EUROGRAPHICS '0x / N.N. and N.N.
Volume 0 (1981), Number 0
Uncertain 2D Vector Field Topology
Mathias Otto 1, Tobias Germer 1, Hans-Christian Hege 2 and Holger Theisel 1
1Visual Computing Group, Otto von Guericke Universität Magdeburg, Germany
2Visualization and Data Analysis Department, Zuse Institute Berlin, Germany
We introduce an approach to visualize stationary 2D vector fields with global uncertainty obtained by considering
the transport of local uncertainty in the flow. For this, we extend the concept of vector field topology to uncer-
tain vector fields by considering the vector field as a density distribution function. By generalizing the concepts
of stream lines and critical points we obtain a number of density fields representing an uncertain topological
segmentation. Their visualization as height surfaces gives insight into both the flow behavior and its uncertainty.
We present a Monte Carlo approach where we integrate probabilistic particle paths, which lead to the segmen-
tation of topological features. Moreover, we extend our algorithms to detect saddle points and present efficient
implementations. Finally, we apply our technique to a number of real and synthetic test data sets.
The consideration of uncertainty is one of the most relevant
problems in visualization [Joh04]. A variety of methods has
been introduced to represent uncertainty in scalar, vector,