Real time smoke simulation:
Our approach to smoke simulation is based on the theory of interacting polygonal
In this project we extend the underlying physical model and develop a hierarchical scheme to reduce the complexity of the algorithm.
We extend the method to include vorticity generation from buoyancy and we develop a model for the two-way coupling between fluid and obstacles.
We study the problem of finding a geodesic in shape space of certain objects (surfaces, volumes...) between two given points. One approach is to view the geodesic as the flow of an infinitely viscous fluid that deforms the initial shape into the final shape. An intermediate state of the flow can be obtained by minimizing a weighted sum of elastic bending energies. This works best with volumes. For surfaces we study another approach using a modification of Willmore flow that is able to connect two given surfaces.
- S. Weißmann, U. Pinkall. Underwater Rigid Body Dynamics. Conditionally accepted to SIGGRAPH 2012.
K. Crane, U. Pinkall, P. Schröder, 2011. Spin transformations of discrete surfaces. In Proc. ACM/SIGGRAPH 2011, TOG 30(4).
- S. Weißmann, 2010. Filament-Based Smoke. PhD Thesis. Technische Universität Berlin.
I. Chao, U. Pinkall, P. Sanan, P. Schröder, 2010.
A simple geometric model for elastic deformations. In Proc. ACM/SIGGRAPH 2010, TOG 29(4).
S. Weißmann, U. Pinkall, 2010.
Filament-based smoke with vortex shedding and variational reconnection. In Proc. ACM/SIGGRAPH 2010, TOG 29(4).
S. Weißmann, U. Pinkall, 2009.
Real-time interactive simulation of smoke using discrete integrable vortex filaments. In Proc. Vir. Real., Inter. & Phys. Sim.