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MECA2170
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Numerical Geometry (LMECA2170)
Vincent Legat
Jean-François Remacle
Louvain School of Engineering
Université catholique de Louvain
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Slides and documents 2026-2027
Lecture 1 : Klee problem and robust predicate
(14-09-2026)
Lecture 2 : Triangles and Quadrilaterals
(21-09-2026)
Lecture 3 : The Delanay Triangulation
(28-09-2026)
Lecture 3 : Half-Edges Data Structures
(28-09-2026)
Project 2026-2027
Project : Delaunay, alpha-shapes and PFEM
(05-10-2026)
https://git.immc.ucl.ac.be/tihonn/lmeca2170-project
Slides and documents 2025-2026
Lecture 5 : Intersecting objects by Kilian Verhetsel
(04-11-2025)
Lecture 6 : Spatial data structures by Kilian Verhetsel
(04-11-2025)
Lecture 7 : Surface reconstruction with Poisson equation
(30-11-2025)
Note for lecture 7
(30-11-2025)
Lecture 8 : Alpha-Shapes and Fast Winding Number by Nathan Tihon
(02-12-2025)
Slides and documents 2024-2025
Lecture 1 : Sweep-Line Algorithm for Line Segment Intersection
(18-09-2024)
Lecture 2 : Half Edges data structure
(07-10-2024)
Lecture 3 : Triangulation
(07-10-2024)
Lecture 4 : Unstructured quads
(07-10-2024)
Lecture 7 (and 8) : Point Cloud Processing
(24-11-2024)
Reference books
Computational Geometry
(23-09-2019)
Computational Geometry (pdf copy)
(20-09-2020)
An Introduction to Mesh Generation : book of Remacle and Geuzaine (pdf copy)
(05-12-2022)
An Introduction to Mesh Generation Algorithms : slides of Steve Owen
(15-11-2023)
JF's Programs
chap2.cpp
(28-09-2020)
chap2.h
(28-09-2020)
hilbert.cpp
(30-11-2020)
hilbert.cpp (version 2022)
(05-12-2022)
oTest.cpp
(19-10-2020)
robustPredicates.h
(19-10-2020)
robustPredicates.cpp
(19-10-2020)
Adaptive Precision Floating-Point Arithmetic and Fast Robust Predicates for Computational Geometry
Slides
Introduction : the Klee's problem
(18-09-2017)
Convex Hulls
(25-09-2017)
Intersection of Line Segments
(09-10-2017)
Overlay of subdivisions
(09-10-2017)
Linear Programming
(22-10-2017)
Orthogonal Searching
(06-11-2017)
Point Location
(24-11-2017)
Voronoi Cells
(24-11-2017)
Delaunay Triangulations
(24-11-2017)