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In this paper, we investigate the optimization of Centroidal Voronoi Tessellations (CVT) under geometric constraints. For this purpose, we minimize a linear combination of the standard CVT energy functional with terms involving geometric…

Optimization and Control · Mathematics 2025-08-26 Ernesto G. Birgin , Juan S. C. Franco , Antoine Laurain

Swarm robotics, or very large-scale robotics (VLSR), has many meaningful applications for complicated tasks. However, the complexity of motion control and energy costs stack up quickly as the number of robots increases. In addressing this…

Robotics · Computer Science 2024-10-04 James Gao , Jacob Lee , Yuting Zhou , Yunze Hu , Chang Liu , Pingping Zhu

Volumetric shape representations have become ubiquitous in multi-view reconstruction tasks. They often build on regular voxel grids as discrete representations of 3D shape functions, such as SDF or radiance fields, either as the full shape…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Diego Thomas , Briac Toussaint , Jean-Sebastien Franco , Edmond Boyer

This paper proposes a new image thresholding segmentation approach using the heuristic method, Convergent Heterogeneous Particle Swarm Optimization algorithm. The proposed algorithm incorporates a new strategy of searching the problem space…

Computer Vision and Pattern Recognition · Computer Science 2016-05-17 Mohammad Hamed Mozaffari , Won-Sook Lee

Particle swarm optimization algorithm is a stochastic meta-heuristic solving global optimization problems appreciated for its efficacity and simplicity. It consists in a swarm of particles interacting among themselves and searching the…

Probability · Mathematics 2024-09-23 Vianney Bruned , André Mas , Sylvain Wlodarczyk

Currently, grid and glass methods are the two most popular choices to generate uniform particle distributions (i.e., pre-initial conditions) for cosmological $N$-body simulations. In this article, we introduce an alternative method called…

Astrophysics of Galaxies · Physics 2018-09-28 Shihong Liao

Many real-world problems are dynamic optimization problems. In this case, the optima in the environment change dynamically. Therefore, traditional optimization algorithms disable to track and find optima. In this paper, a new multi-swarm…

Neural and Evolutionary Computing · Computer Science 2013-08-08 Somayeh Nabizadeh , Alireza Rezvanian , Mohammd Reza Meybodi

Spatial statistical analysis of multivariate volumetric data can be challenging due to scale, complexity, and occlusion. Advances in topological segmentation, feature extraction, and statistical summarization have helped overcome the…

Methodology · Statistics 2022-08-16 Tyson Neuroth , Martin Rieth , Konduri Aditya , Myoungkyu Lee , Jacqueline H Chen , Kwan-Liu Ma

Multi-swarm particle optimisation algorithms are gaining popularity due to their ability to locate multiple optimum points concurrently. In this family of algorithms, clustering-based multi-swarm algorithms are among the most effective…

Neural and Evolutionary Computing · Computer Science 2025-11-25 Yves Matanga , Yanxia Sun , Zenghui Wang

In this work, image analysis techniques used in astrophysics to detect low-contrast signals have been adapted in the processing of Computed Tomography (CT) images, combining Centroidal Voronoi Tessellation (CVT) and machine learning…

Medical Physics · Physics 2025-03-11 Lorenzo Lasagni

We propose a novel stochastic reduced-order model (SROM) for complex systems by combining clustering and classification strategies. Specifically, the distance and centroid of centroidal Voronoi tessellation (CVT) are redefined according to…

Numerical Analysis · Mathematics 2022-04-26 Meixin Xiong , Liuhong Chen , Ju Ming , Zhiwen Zhang

Convolutional neural networks (CNNs) are one of the most effective deep learning methods to solve image classification problems, but the best architecture of a CNN to solve a specific problem can be extremely complicated and hard to design.…

Neural and Evolutionary Computing · Computer Science 2018-03-20 Bin Wang , Yanan Sun , Bing Xue , Mengjie Zhang

CVT (Centroidal Voronoi Tessellation)-based remeshing optimizes mesh quality by leveraging the Voronoi-Delaunay framework to optimize vertex distribution and produce uniformly distributed vertices with regular triangles. Current CVT-based…

Graphics · Computer Science 2025-11-27 Yue Fei , Jingjing Liu , Yuyou Yao , Yusheng Peng , Liping Zheng

Particle swarm optimization is used in several combinatorial optimization problems. In this work, particle swarms are used to solve quadratic programming problems with quadratic constraints. The approach of particle swarms is an example for…

Artificial Intelligence · Computer Science 2014-07-24 Deepak Kumar , A G Ramakrishnan

Centroidal Voronoi tessellation (CVT)-based mesh generation is a very effective technique for creating high-quality Voronoi meshes and their dual Delaunay triangulations that often play a crucial role in applications, including ocean and…

Numerical Analysis · Mathematics 2018-05-23 Huanhuan Yang , Max Gunzburger , Lili Ju

Owing to the natural interpretation and various desirable mathematical properties, centroidal Voronoi tessellations (CVT) have found a wide range of applications and correspondingly a vast development in their literature. However the…

Computational Geometry · Computer Science 2022-03-30 Bhagyashri Telsang , Seddik Djouadi

In this work, we approach the problem of resource allocation in a team of agents through the framework of Centroidal Voronoi Tessellations. CVTs provide a natural way to embed a desired global trend in the team through probability…

Systems and Control · Electrical Eng. & Systems 2022-12-02 Bhagyashri Telsang , Seddik Djouadi

Centroidal Voronoi tessellations (CVTs) are Voronoi tessellations of a region such that the generating points of the tessellations are also the centroids of the corresponding Voronoi regions with respect to a given probability measure. CVT…

Information Theory · Computer Science 2019-06-04 Carl P. Dettmann , Mrinal Kanti Roychowdhury

Particle Swarm Optimization is a global optimizer in the sense that it has the ability to escape poor local optima. However, if the spread of information within the population is not adequately performed, premature convergence may occur.…

Neural and Evolutionary Computing · Computer Science 2021-01-27 Mauro S. Innocente , Johann Sienz

Clustering algorithms have significantly improved along with Deep Neural Networks which provide effective representation of data. Existing methods are built upon deep autoencoder and self-training process that leverages the distribution of…

Computer Vision and Pattern Recognition · Computer Science 2021-09-17 Xin Ma , Won Hwa Kim
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