Geometric Modeling

Geometric modeling in general deals with the whole geometry processing pipeline, which covers the range from surface generation, surface optimization, up to surface manipulation and deformation. While the classical surface representation of most CAD systems are spline surfaces, triangle meshes developed into a valuable alternative, since they offer more flexibility and higher processing efficiency. In cases of strong surface deformations or changing topology point-based surface representations are advantageous, since no consistent triangulation has to be maintained.

In our research group we are currently working on intuitive, robust, and efficient shape deformation techniques. Deformations are typically considered intuitive if they imitate the real-world surface behavior in a physically plausible way. However, since physically accurate simulations are not requried, physical correctness can be traded for higher performance and increased robustness.

We are therefore examining (1) how much physics one should incorporate into geometric modeling to achieve natural and plausible results, and (2) how much purely geometric techniques one should build into physically-based modeling to get robust and efficient solvers.

	On Linear Variational Surface Deformation Methods
	Nonlinear Deformation Based on Rigid Cells
	Multi-Scale Capture of Facial Geometry and Motion
	Multi-Scale Surface Representations and Modeling
	GPU-Accelerated Mesh Painting