SURFACE MODELING

1. Differential geometry: parametric curves and surfaces, curvature, geometric invariants, fundamental forms.
2. Triangulations and meshes: Delaunay triangulation, Voronoï diagram, meshes, mesh implication,
B-rep data structures.
3. Spline surfaces: Bezier and B-spline tensor product and triangular patches, algorithms De Casteljau and
De Boor, barycentric coordinates, derivatives, continuity.
4. Coons patches.
5. Subdivision surfaces: Catmul-Clark, Butterfly and Loop's scheme.
6. Surfaces of arbitrary topology: geometric continuity, interpolation of triangular surface meshes.
7. Multiresolution curves and surfaces: B-spline wavelets, multi resolution analysis, level of detail
edition, hierarchical models.

Geometric Modeling ENSIMAG 2nd year.

personal work on computer and an oral presentation.

N=P
Pas de rattrapage

• • G. FARIN: Curves and Surfaces for CAGD, a practical guide, Academic Press, 1997
  • J. Hoschek, D. LASSER: Fundamentals of Computer Aided Geometric Design, AK Peters, 1993
  • SIGGRAPH2000 Course Notes on "Subdivision for Modeling and Animation"
  • SIGGRAPH1997 Course Notes on "Multiresolution Surface Modeling"