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The course presents models and algorithms for surface description, which are commonly used in Computer Aided Geometric Design and in Computer Graphics.
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
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