I’m interested in modeling and understanding the geometry of shapes. I use mathematical tools, such as discrete differential geometry, numerical optimization and harmonic analysis, for applications such as browsing shape collections, animation and fluid simulation.
An example of a problem in this domain is shape correspondence: given two human shapes can you design an algorithm that finds corresponding points on them?
How would you represent the “human shape” computationally? How would you identify semantically “meaningful” feature points? How would you find a correspondence?
If this kind of questions intrigues you, and you’d like to join my group, I’m recruiting. Details here.