> Formation > Cursus ingénieur
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=PPas de rattrapage