Bregman Voronoi Diagrams: Properties, Algorithms and Applications [PDF]
Discrete & Computational Geometry, 2007 The Voronoi diagram of a finite set of objects is a fundamental geometric structure that subdivides the embedding space into regions, each region consisting of the points that are closer to a given object than to the others.
A. Banerjee +33 more
core +16 more sources
On Voronoi Diagrams on the Information-Geometric Cauchy Manifolds [PDF]
Entropy, 2020 We study the Voronoi diagrams of a finite set of Cauchy distributions and their dual complexes from the viewpoint of information geometry by considering the Fisher-Rao distance, the Kullback-Leibler divergence, the chi square divergence, and a flat ...
Frank Nielsen
doaj +2 more sources
From Optical Tracking to Tactical Performance via Voronoi Diagrams: Team Formation and Players’ Roles Constrain Interpersonal Linkages in High-Level Football [PDF]
Sensors, 2022 Football performance behaviour relies on the individual and collective perceptual attunement to the opportunities for action (affordances) available in a given competitive environment.
Nelson Caldeira +3 more
doaj +2 more sources
Pomelo, a tool for computing Generic Set Voronoi Diagrams of Aspherical Particles of Arbitrary Shape [PDF]
EPJ Web of Conferences, 2017 We describe the development of a new software tool, called “Pomelo”, for the calculation of Set Voronoi diagrams. Voronoi diagrams are a spatial partition of the space around the particles into separate Voronoi cells, e.g.
Weis Simon +4 more
doaj +3 more sources
Enhanced performance in automated diabetic retinopathy diagnosis achieved through Voronoi diagrams and artificial intelligence [PDF]
Scientific ReportsDiabetic retinopathy (DR), a serious eye condition in diabetic patients, requires early and precise detection for effective treatment. Late diagnosis and poor blood sugar control exacerbate this condition, highlighting the need for improved diagnostic ...
Mac Gayver da Silva Castro +4 more
doaj +2 more sources
Reaction Diffusion Voronoi Diagrams: From Sensors Data to Computing [PDF]
Sensors, 2015 In this paper, a new method to solve computational problems using reaction diffusion (RD) systems is presented. The novelty relies on the use of a model configuration that tailors its spatiotemporal dynamics to develop Voronoi diagrams (VD) as a part of ...
Alejandro Vázquez-Otero +3 more
doaj +2 more sources
Voronoi diagrams and Delaunay triangulation for modelling animal territorial behaviour [PDF]
Ecology and EvolutionWe explore the use of movable automata in numerical modelling of male competition for territory. We used territorial dragonflies as our biological inspiration for the model, assuming two types of competing males: (a) faster and larger males that adopt a ...
Rhainer Guillermo‐Ferreira +3 more
doaj +2 more sources
Improving the prediction of protein binding sites by combining heterogeneous data and Voronoi diagrams [PDF]
BMC Bioinformatics, 2011 Background Protein binding site prediction by computational means can yield valuable information that complements and guides experimental approaches to determine the structure of protein complexes.
Fernandez-Fuentes Narcis +2 more
doaj +2 more sources
Frontiers in Bioinformatics, 2023 Over the last decade, single-molecule localization microscopy (SMLM) has revolutionized cell biology, making it possible to monitor molecular organization and dynamics with spatial resolution of a few nanometers.
Florian Levet, Florian Levet
doaj +1 more source
Virtual and Physical Prototyping, 2023 This study introduces a novel approach to design non-uniform porous structures with gradient density through the integration of the Topology Optimisation (TO) method and the Voronoi porous structure design technique.
Bo Liu +4 more
doaj +1 more source