Voronota: a fast and reliable tool for computing the vertices of the Voronoi diagram of atomic balls
K Olechnovič, Č Venclovas - Journal of computational …, 2014 - Wiley Online Library
The Voronoi diagram of balls, corresponding to atoms of van der Waals radii, is particularly
well‐suited for the analysis of three‐dimensional structures of biological macromolecules …
well‐suited for the analysis of three‐dimensional structures of biological macromolecules …
BetaCavityWeb: a webserver for molecular voids and channels
JK Kim, Y Cho, M Lee, RA Laskowski… - Nucleic acids …, 2015 - academic.oup.com
Molecular cavities, which include voids and channels, are critical for molecular function. We
present a webserver, BetaCavityWeb, which computes these cavities for a given molecular …
present a webserver, BetaCavityWeb, which computes these cavities for a given molecular …
Robust construction of Voronoi diagrams of spherical balls in three-dimensional space
M Lee, K Sugihara, DS Kim - Computer-Aided Design, 2022 - Elsevier
Voronoi diagrams are useful for spatial reasoning among particles and there are many prior
studies on their construction. However, most prior works were for the ordinary Voronoi …
studies on their construction. However, most prior works were for the ordinary Voronoi …
Voronoi diagrams, quasi-triangulations, and beta-complexes for disks in R2: the theory and implementation in BetaConcept
Voronoi diagrams are powerful for solving spatial problems among particles and have been
used in many disciplines of science and engineering. In particular, the Voronoi diagram of …
used in many disciplines of science and engineering. In particular, the Voronoi diagram of …
Topology-oriented incremental algorithm for the robust construction of the Voronoi diagrams of disks
M Lee, K Sugihara, DS Kim - ACM Transactions on Mathematical …, 2016 - dl.acm.org
Voronoi diagrams are useful for spatial reasoning, and the robust and efficient construction
of the ordinary Voronoi diagram of points is well known. However, its counterpart for circular …
of the ordinary Voronoi diagram of points is well known. However, its counterpart for circular …
Surface of aqueous solutions of alkali halides: layer by layer analysis
Interfacial layers of both vapour/liquid and crystal/liquid aqueous solutions of sodium and
caesium halides have been analysed in detail using four different methods for the …
caesium halides have been analysed in detail using four different methods for the …
Tunnels and voids in molecules via Voronoi diagrams and beta-complexes
Molecular external structure is important in understanding molecular interaction with its
solvent environment and is useful in developing drugs. Important examples of external …
solvent environment and is useful in developing drugs. Important examples of external …
A general method for determining molecular interfaces and layers
A general and direct computational scheme to locate the surface separating arbitrarily
shaped domains made up of molecules (or any other particles) has been developed and is …
shaped domains made up of molecules (or any other particles) has been developed and is …
[HTML][HTML] Benchmark dataset for the Voronoi diagram of 3D spherical balls
C Song, M Lee, S Choi, DS Kim - Data in Brief, 2022 - Elsevier
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 …
3D spherical balls (VD-B3). The dataset consists of sphere arrangements including general …
Compact storage of additively weighted Voronoi diagrams
Voronoi diagrams and their dual tetrahedral structures are often utilized in various analyses
of protein models where atoms are represented as balls. The additively weighted kind of …
of protein models where atoms are represented as balls. The additively weighted kind of …