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Informatique et Mathématiques appliquées
Une voie, plusieurs choix

> Formation > Cursus ingénieur

SURFACE MODELING

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  • Number of hours

    • Lectures : 36.0
    ECTS : 3.0

Goals

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


Contact Stefanie HAHMANN

Content

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.



Prerequisites

Geometric Modeling ENSIMAG 2nd year.

Tests

personal work on computer and an oral presentation.



N=P
Pas de rattrapage

Additional Information

Curriculum->MMIS.->Semester 5

Bibliography

    • 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"

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Université Grenoble Alpes