- 4MMMS

Goal(s)

Surface modelling lies at the intersection of computer science and applied mathematics. It involves designing, representing and manipulating 3D shapes using algorithms and numerical techniques.

Why is it fascinating (and useful)? The methods studied in this course are used in a wide variety of cutting-edge technological sectors, such as: - Industrial design and computer-aided design and manufacturing (CAD/CAM) - The creation of characters and environments for video games and animated films - Physical and scientific simulation - Virtual reality, digital sculpture and artistic creation - Medical imaging and 3D reconstruction of real-world data.

Responsible(s)

Stefanie HAHMANN

Content(s)

This course will provide you with a solid foundation for understanding and implementing the main models for representing surfaces (meshes, parametric surfaces, implicit surfaces, etc.), as well as the fundamental algorithms for processing and analysing 3D shapes. You will discover how these tools are used in design, animation and simulation software, as well as in research:

I. POLYGONAL GEOMETRY PROCESSING 1. Computational geometry (triangulation, surface meshes, Delaunay triangulation, Voronoi diagrams). 2. Geometric data structures. 3. Discrete differential geometry. 4. Mesh smoothing. 5. Parametrisation, remeshing. 6. Mesh simplification. 7. Deformation methods. 8. Surface reconstruction.

II. SURFACE MODELS 1. Concepts of curves and surfaces, concepts of curvature. 2. Spline surfaces. 3. Coons surfaces. 4. Subdivision surfaces: Catmull-Clark, Butterfly and Loop schemes. 5. Surfaces of arbitrary topology. 6. Geometry for Architecture

no prerequisites

Test

Evaluation : Projet (rendu du code et des résultats) + rapport écrit + soutenance (20 min)

Resit : Projet (rendu du code et des résultats) + rapport écrit (N.A.)

REGULAR EXAM SESSION:
Exam type: Personal project + written report + oral presentation

No written exam to be organised by the registrar’s office.
Defences are organised by the lecturer.

RESIT SESSION:
During the re-sit session, students must complete a full project (similar to that in Session 1). Students must contact the lecturer well in advance to allow sufficient time to complete the project.

Calendar

The course exists in the following branches:

• Curriculum - Core curriculum - Semester 8

Additional Information

Course ID : 4MMMS
Course language(s):

You can find this course among all other courses.

Bibliography

• • M. Botsch, L. Kobbelt, M. Pauly, P. Alliez, B. Lévy: Polygon Mesh Processing, CRC Press, 2010
  • 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
  • E. Cohen, R. Riesenfeld, G. Elber: Geometric Modeling with Splines, AK Peters, 2001
  • JD. Boissonnat, M. Yvinec: Géométrie Algorithmique, Ediscience, 1995
  • M. Do Carmo: Differentiel Geometry of curves and Surfaces, Prentice Hall, 1976
  • SIGGRAPH2000 Course Notes on "Subdivision for Modeling and Animation"
  • SIGGRAPH1997 Course Notes on "Multiresolution Surface Modeling"