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On Voronoi Diagrams on the Information-Geometric Cauchy Manifolds [PDF]

open access: yesEntropy, 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]

open access: yesSensors, 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

Enhanced performance in automated diabetic retinopathy diagnosis achieved through Voronoi diagrams and artificial intelligence [PDF]

open access: yesScientific Reports
Diabetic 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

Tropical Bisectors and Voronoi Diagrams [PDF]

open access: yesFoundations of Computational Mathematics, 2021
AbstractIn this paper we initiate the study of tropical Voronoi diagrams. We start out with investigating bisectors of finitely many points with respect to arbitrary polyhedral norms. For this more general scenario we show that bisectors of three points are homeomorphic to a non-empty open subset of Euclidean space, provided that certain degenerate ...
Michael Joswig, Francisco Santos
exaly   +8 more sources

Reaction Diffusion Voronoi Diagrams: From Sensors Data to Computing [PDF]

open access: yesSensors, 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 for Senior-Friendly Cities [PDF]

open access: yesInternational Journal of Environmental Research and Public Health, 2022
Marta Czaplicka   +2 more
exaly   +2 more sources

Improving the prediction of protein binding sites by combining heterogeneous data and Voronoi diagrams [PDF]

open access: yesBMC 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

Optimizing Voronoi-based quantifications for reaching interactive analysis of 3D localizations in the million range

open access: yesFrontiers 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

A topology optimisation-based design method for 3D Voronoi porous structures and its application for medical pillows

open access: yesVirtual 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

Incremental Voronoi Diagrams [PDF]

open access: yesDiscrete & Computational Geometry, 2017
We study the amortized number of combinatorial changes (edge insertions and removals) needed to update the graph structure of the Voronoi diagram $\mathcal{V}(S)$ (and several variants thereof) of a set $S$ of $n$ sites in the plane as sites are added.
Sarah R. Allen   +3 more
openaire   +10 more sources

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