Class-A denotes the highest quality standard for industrial surfaces such as a car body. The characterization and computation of Class-A surface involve serious mathematical challenges:

• Mathematical characterization of Class-A surfaces.
• Non-linear energy functionals and error bounds based on geometric properties.
• Real-time optimization methods for CAD modeling processes.

We offer software solutions for mesh optimization - preserving non-linear features and providing noise removal for industrial 3D meshes.

Project F6 - Multilevel Methods on Manifold Meshes (04/2005 - 03/2010)

This project addresses the strong needs for multilevel algorithms in industrial applications and in computer graphics where large surface meshes must be efficiently processed. Typical applications are solutions of PDEs on surfaces, surface optimization, and automatic mesh parametrization. Funding is provided by the DFG Research Center MATHEON - "Mathematics for key technologies".

Industry Cooperation - mental images GmbH (04/2004 - 03/2005)

Numerical simulations and the rendering of complex virtual scenes is often limited by the huge size of the involved geometry meshes. This project researches the geometric and topological properties of mesh representations to solve the following challenges:

• An efficient and redundant-free representation of 3D geometry meshes.
• Fast online transfer of 3D data sets.
• Toolbox for rapid compression and decompression.

We develop algorithms and implementations for mesh compression, including surface attributes like textures and normals.

Diploma thesis (04/2004)