Spectral Methods

 

 

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