LMECA 2170 · Computational Geometry

Winter 2015 · Universite catholique de Louvain


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LECTURES:

Monday 10:45-12:15, Euler Building

INSTRUCTORS:

Prs. Jean-Francois Remacle and Vincent Legat
Euler Building
Office hours: By appointment.

COURSE DESCRIPTION

The course will mainly deal with mesh generation. The following topics will be introduced: Delaunay triangulations, Voronoi Diagrams, triangle meshes, combinatorial topology, surface simplification, delaunay tetrahedrizations, tetrahedron meshes, parametrization of surface meshes, surface meshing, quadrilateral and hexahedral mesh generation, geometrical primitives and numerical robustness.

Prerequisite: Some programming experience in C or C++ is required.

ASSIGNEMENT:

A computer program will have to be developed by groups of maximum 2 students. The aim of the code will be to develop a fast Delaunay triangulation algorithm in 2D or in 3D. Details of this assignment can be found here .

GRADING:

The final grade involves an oral exam (accounts for 30% of the final grade) and the project (accounts for 70% of the final grade) Both exactness and robustness of the code as well as its efficiency will be taken into account in the evaluation.

RECOMMENDED
READING

Mark de Berg, Otfried Cheong, Marc van Kreveld, and Mark Overmars, Computational Geometry: Algorithms and Applications, third edition, Springer-Verlag, 2008. ISBN # 978-3-540-77 973-5. Or, second revised edition, Springer-Verlag, 2000. ISBN # 3-540-65620-0.

Edelsbrunner, H. (2001). Geometry and topology for mesh generation. Cambridge University Press.

Jonathan Richard Shewchuk, Lecture Notes on Geometric Robustness.

GMSH

Open Source Mesh Generator .