Generation of the typical cell of a non-poissonian Johnson-Mehl tessellation
Generation of the typical cell of a non-poissonian Johnson-Mehl tessellation
复制标题
非泊松 Johnson-Mehl 曲面细分的典型单元的生成
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
Eik Schiile
中科院分区：
文献类型：
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作者：
L. Heinrich;Eik Schiile
我们考虑d维欧几里得空间中静态独立标记（不一定是Poissonian）点过程生成的Johnson-Mehl细分。我们首先分析了Palm分布的变薄点过程，这符合家庭的核的非空的Johnson-Mehl细胞。这产生了一个相当一般的计划建设的典型的约翰逊-梅尔细胞的基础上棕榈分布的生成点过程。对于由Neyman-Scott和Poisson软核过程生成的Johnson-Mehl曲面，我们给出了典型单元模拟的显式算法。在Matern集群和Matern硬核进程的特殊情况下，这些算法被应用于模拟一些单元特性
We consider Johnson-Mehl tessellations generated by stationary independently marked (not necessarily Poissonian) point processes in d-dimensional Euclidean space. We first analyze the Palm distribution of the thinned point process which coincides with the family of nuclei of non-empty Johnson-Mehl cells. This yields quite a general scheme for the construction of the typical Johnson-Mehl cell based on the Palm distribution of the generating point process. For Johnson-Mehl tessellations generated by Neyman-Scott and Poisson soft-core processes, we give explicit algorithms for the simulation of the typical cell. In the special cases of Matern cluster and Matern hard-core processes these algorithms are applied to simulate some cell characteristics