Description
New visualization tools to support domain scientists in understanding, analyzing, and illustrating trajectories of dynamical systems are available, but they often stop at 4D [1]. A recent approach by Bartolovic et al. investigates also higher-D spaces [2]; however, drilling down to lower spaces and understanding the local behavior of the dynamical systems is not possible.
Tasks
We are interested in developing novel visual analytics techniques, which will support the exploration and analysis of high-dimensional dynamical systems. This approach should enable an easy global and local view of the behavior of these dynamical systems.
Requirements
- Interest and knowledge in visualization and visual analytics.
- Good programming skills.
- Creativity and enthusiasm.
Environment
To be determined depending on the background of the student.
References
[1] Amirkhanov, Aleksandr, Ilona Kosiuk, Peter Szmolyan, Artem Amirkhanov, Gabriel Mistelbauer, M. Eduard Gröller, and Renata G. Raidou. "ManyLands: A Journey Across 4D Phase Space of Trajectories." In Computer Graphics Forum, vol. 38, no. 7, pp. 191-202. 2019.
[2] Bartolovic Nemanja, Markus Gross, and Tobias Günther. "Phase Space Projection of Dynamical Systems." In Computer Graphics Forum, vol. 39, no. 3, pp. 253-264. 2020.