Computing 2D Periodic Centroidal Voronoi Tessellation [PDF]
In this paper, we propose an efficient algorithm to compute the centroidal Voronoi tessellation in 2D periodic space. We first present a simple algorithm for constructing the periodic Voronoi diagram (PVD) from a Euclidean Voronoi diagram. The presented PVD algorithm considers only a small set of periodic copies of the input sites, which is more ...
Yan, Dong-Ming +3 more
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Non-Uniform Offsetting and its Applications in Laser Path Planning of Sterolithography Machine [PDF]
Laser path planning is an important step in solid freeform fabrication processes such as Stereolithography (SLA). An important consideration in the laser path planning is to compensate the shape of laser beam. Currently the compensation is divided into
Chen, Yong
core +1 more source
JIGSAW-GEO (1.0): locally orthogonal staggered unstructured grid generation for general circulation modelling on the sphere [PDF]
An algorithm for the generation of non-uniform, locally-orthogonal staggered unstructured spheroidal grids is described. This technique is designed to generate very high-quality staggered Voronoi/Delaunay meshes appropriate for general circulation ...
Engwirda, Darren
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2D Centroidal Voronoi Tessellations with Constraints [PDF]
We tackle the problem of constructing 2D centroidal Voronoi tessellations with constraints through an efficient and robust construction of bounded Voronoi diagrams, the pseudo-dual of the constrained Delaunay triangulation. We exploit the fact that the cells of the bounded Voronoi diagram can be obtained by clipping the ordinary ones against the ...
Tournois, Jane +2 more
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A high-fidelity multiresolution digital elevation model for Earth systems [PDF]
The impact of topography on Earth systems variability is well recognised. As numerical simulations evolved to incorporate broader scales and finer processes, accurately assimilating or transforming the topography to produce more exact land–atmosphere ...
X. Duan, L. Li, H. Zhu, S. Ying
doaj +1 more source
Using Centroidal Voronoi Tessellations to Scale Up the Multi-dimensional Archive of Phenotypic Elites Algorithm [PDF]
The recently introduced Multi-dimensional Archive of Phenotypic Elites (MAP-Elites) is an evolutionary algorithm capable of producing a large archive of diverse, high-performing solutions in a single run.
Chatzilygeroudis, Konstantinos +2 more
core +5 more sources
Dynamic distributed clustering in wireless sensor networks via Voronoi tessellation control [PDF]
This paper presents two dynamic and distributed clustering algorithms for Wireless Sensor Networks (WSNs). Clustering approaches are used in WSNs to improve the network lifetime and scalability by balancing the workload among the clusters.
Liberati, Francesco +1 more
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Approximation by finitely supported measures [PDF]
Given a compactly supported probability measure on a Riemannian manifold, we study the asymptotic speed at which it can be approximated (in Wasserstein distance of any exponent p) by finitely supported measure.
Kloeckner, Benoit
core +3 more sources
On centroidal voronoi tessellation—energy smoothness and fast computation [PDF]
Centroidal Voronoi tessellation (CVT) is a particular type of Voronoi tessellation that has many applications in computational sciences and engineering, including computer graphics. The prevailing method for computing CVT is Lloyd's method, which has linear convergence and is inefficient in practice. We develop new efficient methods for CVT computation
Liu, Yang +6 more
openaire +5 more sources
CVT-based 2D motion planning with maximal clearance [PDF]
Maximal clearance is an important property that is highly desirable in multi-agent motion planning. However, it is also inherently difficult to attain.
Choi, YK, Liu, X, Wang, WP, Zheng, L
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