We study methods for spectral geometry processing, that is to say, generalizing Fourier analysis to manifold surfaces, and using it to define new tools for geometry processing.We studied Laplace-Beltrami eigenfunctions [IEEE SMI 2006]. They define an orthogonal function basis for functions defined over a surface. Therefore we could use them to define manifold harmonics and the associated transform, for mapping signals between the surface and the frequency space associated with the surface [Eurographics 2008].

Dissemination

* Spectral Geometry Processing - SIGGRAPH 2010 course

* Spectral Geometry Processing - SIGGRAPH ASIA 2009 course

* Software: Manifold Harmonics filtering

* Software: Graphite - Manifold Harmonics plugin