Spectral Geometry Processing

Spectral mesh processing is an idea that was proposed at the be- ginning of the 90's to port the signal processing toolbox to the setting of 3D mesh models. Recent advances in both computer horsepower and numerical software make it possible to fully implement this vision. In the more classi- cal context of sound and image processing, Fourier analysis was a corner stone in the development of a wide spectrum of techniques, such as filtering, com- pression, and recognition. In this course, attendees will learn how to transfer the underlying concepts to the setting of a mesh model, how to implement the spectral mesh processing toolbox and use it for real applications, including filtering, shape matching, remeshing, segmentation, and parameterization.