3D Mesh Processing

Gabriel PeyréCEREMADE, Université Paris Dauphine

http://www.ceremade.dauphine.fr/~peyre/

Engineering

Physical model + experiments

2

Numerical Engineering• physical model + experiments

§ digital model + computations

3

Multimedia• Digital signal processing

Types of data set off waves of technology

70 80 90 00sound image video geometry

4

Applications

Medical Bio

Graphics Engineering Geology

5

Related Research Topics• Geometric modeling

• Geometric computing

• Geometry processing

• Mesh generation

• Simulation

6

Modeling

Creation Acquisition

7

Geometry ProcessingTheory and algorithms for

• creation, acquisition

• storage, transmission

• editing, animation

• signal processing

8

Surfaces: complex geometry,

non-uniform sampling,

arbitrary topology ...

1D/2D/3D signals: uniform sampling and processing

Sound, Images, Video

i

t

f(t)

j f(i,j)

9

Processing: Local vs. Global

10

Differential Computations

Geodesic Computations

Surface filtering

Fourier on Meshes

Front Propagation on Meshes

Surface Remeshing