Spatial Tessellations Concepts And Applications Of Voronoi Diagrams

By Franziska Hoffmann. 2016

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Citations in the corpus

Novelty Detection and Learning from Extremely Weak Supervision (2019, background): “Because of this form of assignment, the shape of the data partitioning is of the so-called Voronoi tesselation type [18].”
SR-Tesseler: a method to segment and quantify localization-based super-resolution microscopy data (2015, background): “A Voronoï diagram subdivides a super-resolution image into polygons centered on localized molecules.”
Sedimentation of a dilute suspension of rigid spheres at intermediate Galileo numbers: the effect of clustering upon the particle motion (2014, background): “The Voronöı cells possess the property that all points inside the ith cell are located closer to the centroid of the ith particle than to any other particle (Okabe et al., 1992).”
LOFAR FACET CALIBRATION (2016, methodology): “We then employ a Voronoi tessellation (e.g., Okabe 2000) scheme to make the facets; an example of this is given in Figures 6 and 8.”
Digital Topology and Geometry in Medical Imaging: A Survey (2015, background): “See [47] for a thorough review on Voronoi neighborhood and spatial tessellation.”
Dynamic stress–strain states for metal foams using a 3D cellular model (2014, methodology): “The 3D Voronoi technique (Okabe et al., 1992) was employed to generate closed-cell foams with a uniform cell-wall thickness.”
Emergent behavior in active colloids (2016, background): “local density φ (i) l of particle i at position ri is typically defined via the size Ai of its corresponding Voronoi cell [367], φ (i) l = A0/Ai, where A0 = πR 2 in 2D or A0 = 4πR (3)/3 in 3D and R is the particle radius.”
The Algorithm Design Manual (2020, background): “[OBSC00] is the most complete treatment of Voronoi diagrams and their applications.”
Modeling and Analysis of Cellular Networks Using Stochastic Geometry: A Tutorial (2016, methodology): “In this case, the service area of each BS can be geometrically represented by a Voronoi-tessellation [175], [179] as shown in Fig.”
A Generalized Methodology for Data Analysis (2018, unknown): “This data partitioning resembles Voronoi tessellation [26].”
Deep rule-based classifier with human-level performance and characteristics (2018, methodology): “In this paper we used two low-level feature descriptors (GIST [37] and HOG [14]) and one high-level feature descriptor (a pre-trained VGG-VD-16 [42]).”
Revealing Hidden Structural Order Controlling Both Fast and Slow Glassy Dynamics in Supercooled Liquids (2018, methodology): “This is done using the Voronoi-Delaunay tessellation, well known in both physics and mathematics [40].”
Edwards Statistical Mechanics for Jammed Granular Matter (2016, methodology): “Voronoi in 1908, which is now widely used in mathematics and many applied areas (Aurenhammer, 1991; Okabe et al., 2000).”
A new insight into land use classification based on aggregated mobile phone data (2013, methodology): “As we know, the volume of each BTS is calculated by aggregating the number of calls in the polygon generated by Voronoi tessellation (Okabe et al. 2000).”
Toward transferable interatomic van der Waals interactions without electrons: the role of multipole electrostatics and many-body dispersion. (2014, methodology): “The partitioning between the region belonging to atom p, Rp, and the rest relies on a Voronoitype tessellation scheme [30] to determine which atom is closest to any position r”