Results 1 to 10 of about 68,889 (164)

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, A. Ben-Hur, B. Chazelle, B. Chazelle, C. Atkinson, F. Aurenhammer, F. Aurenhammer, F. Aurenhammer, F. Labelle, F. Nielsen, Frank Nielsen, G. Even, H. Brönnimann, I. Csiszár, J. Matousek, J.-D. Boissonnat, J.-D. Boissonnat, J.-D. Boissonnat, Jean-Daniel Boissonnat, K. Clarkson, K. Onishi, K. Sadakane, L.M. Bregman, P. McMullen, R. Descartes, R. Klein, R. Nock, R.T. Rockafellar, Richard Nock, S. Amari, T.M. Chan, V. Silva de, V.T. Rajan, Y.A. Censor   +33 more
core   +14 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, Schönhöfer Philipp W. A., Schaller Fabian M., Schröter Matthias, Schröder-Turk Gerd E.   +4 more
doaj   +3 more sources

PRELIMINARY INVESTIGATIONS OF TRANSPORT IN HETEROGENEOUS RANDOM MEDIA [PDF]

EPJ Web of Conferences, 2021
Random media emerge in several applications in reactor physics and safety analysis. Most often, models of stochastic media assume spatial homogeneity, whereas real-world complex materials, such as fuel chunks resulting from core degradation, typically ...
Larmier C., Mazzolo A., Zoia A., Lemaire S., Riz D.   +4 more
doaj   +1 more source

Investigation of ice cloud modeling capabilities for the irregularly shaped Voronoi ice scattering models in climate simulations [PDF]

Atmospheric Chemistry and Physics, 2022
Both weather–climate models and ice cloud remote sensing applications need to obtain effective ice crystal scattering (ICS) properties and the parameterization scheme.
M. Li, M. Li, H. Letu, Y. Peng, H. Ishimoto, Y. Lin, T. Y. Nakajima, A. J. Baran, A. J. Baran, Z. Guo, Z. Guo, Y. Lei, J. Shi   +12 more
doaj   +1 more source

FRTX-02, a selective and potent inhibitor of DYRK1A, modulates inflammatory pathways in mouse models of psoriasis and atopic dermatitis

Journal of Translational Autoimmunity, 2023
Dual-specificity tyrosine phosphorylation-regulated kinase 1 A (DYRK1A) has been proposed as a novel regulator of adaptive immune homeostasis through modulating T cell polarization.
Soochan Kim, Eunhwa Ko, Hwan Geun Choi, Daekwon Kim, Monica Luchi, Bernard Khor, Sunghwan Kim   +6 more
doaj   +1 more source

The development of a modular design workflow for 3D printable bioresorbable patient-specific bone scaffolds to facilitate clinical translation

Virtual and Physical Prototyping, 2023
A streamlined design workflow that facilitates the efficient design and manufacture of patient-specific scaffolds independently applied by the surgical team has been recognised as a key step in a holistic approach towards the envisioned routine clinical ...
Buddhi Herath, Markus Laubach, Sinduja Suresh, Beat Schmutz, J. Paige Little, Prasad K. D. V. Yarlagadda, Dietmar W. Hutmacher, Marie-Luise Wille   +7 more
doaj   +1 more source

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

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, Jiawei Feng, Jianbin Chen, Yong He, Jianzhong Fu   +4 more
doaj   +1 more source

Voronoi Tessellations and the Shannon Entropy of the Pentagonal Tilings

Entropy, 2023
We used the complete set of convex pentagons to enable filing the plane without any overlaps or gaps (including the Marjorie Rice tiles) as generators of Voronoi tessellations. Shannon entropy of the tessellations was calculated.
Edward Bormashenko, Irina Legchenkova, Mark Frenkel, Nir Shvalb, Shraga Shoval   +4 more
doaj   +1 more source

Benchmark dataset for the Voronoi diagram of 3D spherical balls

Data in Brief, 2022
In this paper, we present a dataset to be used for the construction of the Voronoi diagram of 3D spherical balls (VD-B3). The dataset consists of sphere arrangements including general, anomaly, and extreme cases.
Chanyoung Song, Mokwon Lee, Seunghwan Choi, Deok-Soo Kim   +3 more
doaj   +1 more source

Incremental Voronoi Diagrams [PDF]

Discrete & 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.
Allen, Sarah S.R., Barba Flores, Luis, Iacono, John, Langerman, Stefan   +3 more
openaire   +7 more sources