Numerical Mesh Processing

Gabriel Peyré (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

These course notes are an introduction to the geometry of surfaces both from a local (differential), global (geodesic) and multiscale point of view. The emphasis is put on the discrete computation of differential and geodesic quantities on 3D meshes. These computational tools can be used to perform various mesh processing tasks such as surface denoising, compression or recognition. All the numerical experiments shown in these notes can be reproduced with a set of Matlab scripts available in the courses section of my webpage.

Mots clés: Mesh; surface processing; triangulation; wavelets; multiresolution; subdivision surfaces; geodesic; Fast Marching; active contours; level set; Delaunay; Voronoi; remeshing; parameterization; compression; filtering

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Gabriel Peyré. Numerical Mesh Processing. 2008. ⟨hal-00365931⟩