The interdisciplinary research field of digital geometry processing combines concepts from computer science, applied mathematics, and engineering for the efficient acquisition, reconstruction, optimization, editing, and simulation of geometric objects. Applications of geometry processing algorithms can be found in a wide range of areas, including computer graphics, computer aided design, architecture, geography, and scientific computing. Current projects include interactive shape deformations, processing of time-dependent objects, efficient 3D visualization, and design of GPU-accelerated algorithms.

His research interests are focussed on the mathematical foundations of geometry processing algorithms as well as their applications in computer graphics and related fields.