One machine, one minute, three billion tetrahedra

C Marot, J Pellerin, JF Remacle - International Journal for …, 2019 - Wiley Online Library
This paper presents a new scalable parallelization scheme to generate the 3D Delaunay
triangulation of a given set of points. Our first contribution is an efficient serial …

A GPU accelerated algorithm for 3D Delaunay triangulation

TT Cao, A Nanjappa, M Gao, TS Tan - … of the 18th meeting of the ACM …, 2014 - dl.acm.org
We propose the first algorithm to compute the 3D Delaunay triangulation (DT) on the GPU.
Our algorithm uses massively parallel point insertion followed by bilateral flipping, a …

Parallel geometric algorithms for multi-core computers

VHF Batista, DL Millman, S Pion, J Singler - Proceedings of the twenty …, 2009 - dl.acm.org
Computers with multiple processor cores using shared memory are now ubiquitous. In this
paper, we present several parallel geometric algorithms that specifically target this …

Computing two-dimensional Delaunay triangulation using graphics hardware

G Rong, TS Tan, TT Cao, Stephanus - Proceedings of the 2008 …, 2008 - dl.acm.org
This paper presents a novel approach to compute, for a given point set S in R2, its Delaunay
triangulation T (S). Though prior work mentions the possibility of using the graphics …

ParaStream: A parallel streaming Delaunay triangulation algorithm for LiDAR points on multicore architectures

H Wu, X Guan, J Gong - Computers & geosciences, 2011 - Elsevier
This paper presents a robust parallel Delaunay triangulation algorithm called ParaStream
for processing billions of points from nonoverlapped block LiDAR files. The algorithm targets …

Parallel Delaunay triangulation in three dimensions

SH Lo - Computer Methods in Applied Mechanics and …, 2012 - Elsevier
A generic parallel Delaunay triangulation scheme by means of zonal partition of points is
proposed. For efficient Delaunay triangulation, points are first sorted into cells, each of which …

Rapeseed leaf estimation methods at field scale by using terrestrial LiDAR point cloud

F Hu, C Lin, J Peng, J Wang, R Zhai - Agronomy, 2022 - mdpi.com
Exploring the key technologies of agricultural robots is an inevitable trend in the
development of smart agriculture. It is significant to continuously transplant and develop …

Algorithm 872: Parallel 2D constrained Delaunay mesh generation

AN Chernikov, NP Chrisochoides - ACM Transactions on Mathematical …, 2008 - dl.acm.org
Delaunay refinement is a widely used method for the construction of guaranteed quality
triangular and tetrahedral meshes. We present an algorithm and a software for the parallel …

Three-dimensional ray tracing on Delaunay-based reconstructed surfaces

S Ortiz, D Siedlecki, L Remon, S Marcos - Applied optics, 2009 - opg.optica.org
A method of ray tracing for free-form optical surfaces has been developed. The ray tracing
through such surfaces is based on Delaunay triangulation of the discrete data of the surface …

3D Delaunay triangulation of 1 billion points on a PC

SH Lo - Finite Elements in Analysis and Design, 2015 - Elsevier
Of course, there is not enough memory on a PC with 16 GB RAM, and tetrahedra
constructed have to be output to leave rooms for the creation of new tetrahedra in the next …