Dr Jing Ren (ETH Zurich): Shape matching and map space exploration via functional maps

26 March 2024, 13-14 h in H-C 7327

Computing semantically meaningful correspondences between shapes is an important yet challenging task in computer graphics and geometry processing, with a wide range of applications including deformation, motion, and texture transfer , as well as 3D shape retrieval, shape analysis and exploration, among others. The functional map framework emerges as a powerful solution to this shape matching problem. Rather than directly attempting to establish point-wise correspondences, it operates by matching functions defined on shapes.

This presentation delves into techniques build upon functional map framework. Specifically, we will explore (1) how to design various regularizers to resolve orientation ambiguity or promote matching accuracy; (2) how to refine a given point-wise map effectively and efficiently; (3) and how to formulate and structure the map space to explore all possible high-quality maps between a shape pair.