Uncertain 2D Vector Field Topology
Article first published online: 7 JUN 2010
© 2010 The Author(s) Journal compilation © 2010 The Eurographics Association and Blackwell Publishing Ltd.
Computer Graphics Forum
Volume 29, Issue 2, pages 347–356, May 2010
How to Cite
Otto, M., Germer, T., Hege, H.-C. and Theisel, H. (2010), Uncertain 2D Vector Field Topology. Computer Graphics Forum, 29: 347–356. doi: 10.1111/j.1467-8659.2009.01604.x
- Issue published online: 7 JUN 2010
- Article first published online: 7 JUN 2010
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 uncertain 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 segmentation 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.