Numerical Mesh Processing

Peyré, Gabriel

Peyré, Gabriel (2008-04), Numerical Mesh Processing. https://basepub.dauphine.fr/handle/123456789/3009

Type

Document de travail / Working paper

External document link

http://hal.archives-ouvertes.fr/hal-00365931/en/

Date

2008-04

Publisher

Université Paris-Dauphine

Published in

Paris

Metadata

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Author(s)

Peyré, Gabriel

Abstract (EN)

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.

Subjects / Keywords

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