Cell-area distributions of planar Voronoi mosaics

H. Hermann , H. Wendrock , D. Stoyan
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引用次数: 32

Abstract

Poisson, hard-core, and cluster point fields are used to generate numerically planar Voronoi (Dirichlet) mosaics. Type and parameter values of the point fields are closely related to the parameters of the corresponding mosaic cell-area distribution. These relationships are described quantitatively by two-dimensional parameter diagrams. The properties of a given empirical mosaic can be clearly explained by estimating a parameter set of its cell-area distribution and placing it in the corresponding parameter diagram.

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平面Voronoi马赛克的细胞面积分布
泊松、硬核和聚类点场用于生成数值平面Voronoi (Dirichlet)马赛克。点场的类型和参数值与相应的马赛克单元面积分布参数密切相关。用二维参数图定量地描述了这些关系。给定经验马赛克的性质可以通过估计其单元面积分布的参数集并将其放入相应的参数图中来清楚地解释。
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A cryogenic fracture technique for characterizing zinc-coated steels On an improved preparation method for Ni3Al specimens and its application to in situ straining in a transmission electron microscope Determining true pearlite lamellar spacings from observed apparent spacings TEM studies of DO3 structure in Fe-30Mn-9Al-0.4C weld metal☆ Cell-area distributions of planar Voronoi mosaics
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