filename : Pob10.pdf entry : inproceedings conference : Eurographics 2010 pages : year : 2010 month : title : On the Way Towards Topology-Based Visualization of Unsteady Flow - the State of the Art Visualization subtitle : author : Armin Pobitzer, Ronald Peikert, Raphael Fuchs, Benjamin Schindler, Alexander Kuhn, Holger Theisel, Kresimir Matkovic and Helwig Hauser}, booktitle : STAR - State of The Art Report ISSN/ISBN : editor : Helwig Hauser and Erik Reinhard publisher : publ.place : volume : issue : language : english keywords : abstract : Vector fields are a common concept for the representation of many different kinds of flow phenomena in science and engineering. Topology-based methods have shown their convenience for visualizing and analyzing steady flow but a counterpart for unsteady flow is still missing. However, a lot of good and relevant work has been done aiming at such a solution. We give an overview of the research done on the way towards topology-based visualization of unsteady flow, pointing out the different approaches and methodologies involved as well as their relation to each other, taking classical (i.e. steady) vector field topology as our starting point. Particularly, we focus on Lagrangian Methods, Space-Time Domain Approaches, Local Methods, and Stochastic and Multi-Field Approaches. Furthermore, we illustrated our review with practical examples for the different approaches.