Computational and structural aspects in multi-scale shape interpolation (C05)

• Subject Area: Mathematics
• Term: from 2016 to 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 195170736

In this project we will study major computational and theoretical challenges in shape analysis, such as shape registration, similarity measures and shape morphing, in the framework of shape interpolation: given two or more shapes, create a family of interpolating shapes. Such an interpolation will invariably entail metrics and correspondences. In particular, we will devise shape interpolation methods for a variety of different shape representations such as point clouds, meshes, or signed distance functions.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 109: Discretisation in Geometry and Dynamics
• Applicant Institution: Technische Universität Berlin
• Project Heads: Professor Dr. Daniel Cremers; Professor Dr. Konrad Polthier