Research interests:
Our lab focuses on applying discrete differential geometry to a wide range of fields and applications. In particular, we approach computations from a geometric standpoint in order to provide differential, yet readily-discretizable computational foundations. Our efforts include:
- Discrete Exterior Calculus: providing the means to handle basic computations without violating the symmetries and invariants that differential modeling defines for predictive purposes.
- Simulation techniques: from Computational Fluid Dynamics (circulation-preserving discrete fluids and discrete variational fluids) to Discrete Elasticity (thin shells and deformable objects).
- Meshing: 2D and 3D sampling, meshing, and remeshing for accurate simulations.
Graphics: surface modeling via mesh processing, compression, animation, etc.