[PDF][PDF] Triangulations in CGAL

JD Boissonnat, O Devillers, M Teillaud… - Proceedings of the …, 2000 - dl.acm.org
Triangulations in CGAL* Page 1 Triangulations in CGAL* [Extended Abstract] Jean Daniel
Boissonnat Olivier Devillers Monique Teillaud INRIA BP93 06902 Sophia Antipolis, France …

Walking in a triangulation

O Devillers, S Pion, M Teillaud - Proceedings of the seventeenth annual …, 2001 - dl.acm.org
Walking in a triangulation Page 1 Walking in a triangulation Olivier Devillers Sylvain Pion
Monique Teillaud ABSTRACT Given a triangulation in the plane or a tetrahedralization in 3-space …

Point location

J Snoeyink - Handbook of discrete and computational geometry, 2017 - taylorfrancis.com
“Where am I?” is a basic question for many computer applications that employ geometric
structures (eg, in computer graphics, geographic information systems, robotics, and …

[图书][B] Effective computational geometry for curves and surfaces

JD Boissonnat, M Teillaud - 2007 - Springer
Computational geometry emerged as a discipline in the seventies and has had considerable
success in improving the asymptotic complexity of the solutions to basic geometric problems …

Incremental constructions con BRIO

N Amenta, S Choi, G Rote - … of the nineteenth annual symposium on …, 2003 - dl.acm.org
Randomized incremental constructions are widely used in computational geometry, but they
perform very badly on large data because of their inherently random memory access …

On deletion in Delaunay triangulations

O Devillers - Proceedings of the fifteenth annual symposium on …, 1999 - dl.acm.org
This paper presents how the space of spheres and shelling may be used to delete a point
from a d-dimensional triangulation efficiently. In dimension two, if Ic is the degree of the …

Delaunay bifiltrations of functions on point clouds

ÁJ Alonso, M Kerber, T Lam, M Lesnick - … of the 2024 Annual ACM-SIAM …, 2024 - SIAM
Abstract The Delaunay filtration D.(X) of a point cloud X⊂ ℝd is a central tool of
computational topology. Its use is justified by the topological equivalence of D.(X) and the …

[图书][B] Geometric data structures for computer graphics

E Langetepe, G Zachmann - 2006 - taylorfrancis.com
Data structures and tools from computational geometry help to solve problems in computer
graphics; these methods have been widely adopted by the computer graphics community …

Differentiable surface triangulation

MJ Rakotosaona, N Aigerman, NJ Mitra… - ACM Transactions on …, 2021 - dl.acm.org
Triangle meshes remain the most popular data representation for surface geometry. This
ubiquitous representation is essentially a hybrid one that decouples continuous vertex …

Complexity of the delaunay triangulation of points on surfaces the smooth case

D Attali, JD Boissonnat, A Lieutier - Proceedings of the nineteenth …, 2003 - dl.acm.org
It is well known that the complexity of the Delaunay triangulation of N points in R 3, ie the
number of its faces, can be O (N2). The case of points distributed on a surface is of great …