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- This type of the Voronoi diagram is defined, and its basic properties are investigated.[1]
- To mathematicians, they are known as Voronoi diagrams.[2]
- Voronoi diagrams are rather natural constructions, and it seems that they, or something like them, have been in use for a long time.[2]
- The beach line is well suited for constructing the Voronoi diagram.[2]
- This means that the breakpoints will sweep out the edges of the Voronoi diagram as the sweep line moves down the plane.[2]
- ’s algorithm for computing the Voronoi diagram or Delaunay triangulation of a set of two-dimensional points.[3]
- Given a set of distinct points in , Voronoi diagram is the partition of into polyhedral regions ( ).[4]
- In order to compute the Voronoi diagram, the following construction is very important.[4]
- These problems can both be solved quickly given the Voronoi diagram.[5]
- We present an asymptotically optimal algorithm for computing Voronoi diagrams based on convex distance functions.[5]
- The collection of all Voronoi polygons for every point in the set is called a Voronoi diagram.[6]
- Our goal here is to use a Voronoi diagram to locate the closest bike rack to points of interest in Oxford, OH.[7]
- Laguerre Voronoi Diagram as a Model for Generating the Tessellation Patterns on the Sphere.[8]
- A boundary-partition-based Voronoi diagram of d-dimensional balls: definition, properties, and applications.[8]
- Revisiting Hyperbolic Voronoi Diagrams in Two and Higher Dimensions from Theoretical, Applied and Generalized Viewpoints.[8]
- Voronoi diagram based on a non-convex pattern : an application to extract patterns from a cloud of points.[8]
- Voronoi diagrams, because they are based on how other polygons will be tessellated, can take a long time to computer.[9]
- For typical use, voronoi diagrams can be created by many GIS packages today.[9]
- A raster-based method for computing Voronoi diagrams of spatial objects using dynamic distance transformation.[9]
- A parallel algorithm for constructing Voronoi diagrams based on point-set adaptive grouping: Parallel algorithm for voronoi diagrams.[9]
- Voronoi diagrams are mainly applied to site selection and the determination of the scope of influence of different objects.[10]
- Furtherly, we introduce the Voronoi diagram and the weighted Voronoi diagram to simulate and analyze the ecosystem service areas.[10]
- Compared to traditional Voronoi diagrams, weighted Voronoi diagrams are more suitable for studying ecosystem service coverage.[10]
- ST_VoronoiPolygons computes a two-dimensional Voronoi diagram from the vertices of the supplied geometry.[11]
- -1 indicates vertex outside the Voronoi diagram.[12]
- the number of the Voronoi edges (half-edges) in the Voronoi diagram.[13]
- Voronoi Cell A Voronoi cell represents a region of the Voronoi diagram bounded by the Voronoi edges.[13]
- Second, I compute the Voronoi diagram for this collection of approximating points.[14]
- The remaining Voronoi edges form a good approximation of the generalized Voronoi diagram for the original obstacles in the map.[14]
- In red is the campus map, and in green is the generalized Voronoi diagram computed for this map (which the applet precomputed).[14]
- Click the mouse in the drawing region to add new sites to the Voronoi Diagram or Delaunay Triangulation.[15]
- Voronoi diagrams, or Thiessen polygons, are used to understand patterns over an area of interest.[16]
- Voronoi diagrams are used in a variety of fields for various purposes.[16]
- The space requirement of a graph Voronoi diagram is modest, since it needs no more space than does the graph itself.[17]
- A Voronoi diagram divides a metric space according to the distances between discrete sets of specified objects.[18]
- To solve this, we chose a method to define the cells as the region nearest to each station using a Voronoi diagram.[19]
- The Voronoi diagram is constructed by connecting the center circumcircles of the Delaunay triangles.[19]
- Figure 1 compares conservative remapping using Voronoi diagrams with bilinear interpolation.[19]
- We first constructed the Voronoi diagram from the site locations’ information, using the Python scipy.spatial.[19]
- VDRC is dedicated to study the Voronoi diagram of various kinds for both practical and theoretical view points.[20]
- We are also working on discovering applications of Voronoi diagrams in engineering and science.[20]
- We are particularly interested in solving the structural molecular biology problems using the Voronoi diagram of three-dimensional spheres.[20]
- Figure 1 shows an example of a Voronoi Diagram where each object (denoted by a dot) is placed in a separate polygon.[21]
- In mathematics, a Voronoi diagram is a partition of a plane into regions close to each of a given set of objects.[22]
- Sometimes the induced combinatorial structure is referred to as the Voronoi diagram.[22]
- Informal use of Voronoi diagrams can be traced back to Descartes in 1644.[22]
- In medical diagnosis, models of muscle tissue, based on Voronoi diagrams, can be used to detect neuromuscular diseases.[22]
- Such a map is called a Voronoi diagram, named after Georgy Voronoi, a mathematician born in Ukraine in 1868.[23]
- A Voronoi diagram can be used to find the largest empty circle amid a collection of points, giving the ideal location for the new school.[23]
- He plotted his data on a chart, effectively constructing a Voronoi diagram.[23]
- A Voronoi diagram is sometimes also known as a Dirichlet tessellation.[24]
소스
- ↑ Crystal Voronoi diagram and its applications
- ↑ 2.0 2.1 2.2 2.3 AMS :: Feature Column from the AMS
- ↑ d3/d3-voronoi: Compute the Voronoi diagram of a set of two-dimensional points.
- ↑ 4.0 4.1 What is Voronoi diagram in ?
- ↑ 5.0 5.1 Voronoi diagrams based on convex distance functions
- ↑ Voronoi diagram
- ↑ Voronoi Diagrams with ggvoronoi
- ↑ 8.0 8.1 8.2 8.3 Voronoi Diagram in the Laguerre Geometry and Its Applications
- ↑ 9.0 9.1 9.2 9.3 Voronoi Diagrams and GIS
- ↑ 10.0 10.1 10.2 Weighted Voronoi Diagram-Based Simulation and Comparative Analysis of Ecosystem Service Coverage: Case Study of the Zhongyuan Urban Agglomeration
- ↑ VoronoiPolygons
- ↑ scipy.spatial.Voronoi — SciPy v0.18.1 Reference Guide
- ↑ 13.0 13.1 Voronoi Diagram
- ↑ 14.0 14.1 14.2 Robot Path Planning Using Generalized Voronoi Diagrams
- ↑ Delaunay Applet
- ↑ 16.0 16.1 VoronoiDiagrammer
- ↑ The graph Voronoi diagram with applications
- ↑ MOLE: A Voronoi Diagram-Based Explorer of Molecular Channels, Pores, and Tunnels
- ↑ 19.0 19.1 19.2 19.3 Potential of Voronoi Diagram for the Conserved Remapping of Precipitation
- ↑ 20.0 20.1 20.2 VDRC
- ↑ Voronoi Diagram
- ↑ 22.0 22.1 22.2 22.3 Voronoi diagram
- ↑ 23.0 23.1 23.2 How Voronoi diagrams help us understand our world
- ↑ Voronoi Diagram -- from Wolfram MathWorld
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Spacy 패턴 목록
- [{'LOWER': 'voronoi'}, {'LEMMA': 'diagram'}]
- [{'LOWER': 'voronoi'}, {'LEMMA': 'diagram'}]
- [{'LOWER': 'voronoi'}, {'LEMMA': 'polygon'}]
- [{'LOWER': 'thiessen'}, {'LOWER': 'polygon'}, {'LEMMA': 'method'}]
- [{'LOWER': 'thiessen'}, {'LEMMA': 'polygon'}]