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SECOND MOMENT MEASURE AND K-FUNCTION FOR PLANAR STIT TESSELLATIONS

机译:平面姿态感测的第二矩测量和K函数

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For STIT tessellations – stationary tessellations that are stable under the operation iteration of tessellations – the second-ordermeasure of the edge system is studied. A result is that this measure coincides with that one of a Boolean segment process. In the isotropic case an explicit formula for the pair-correlation function is given. An estimator for the covariance function of the edge length measure is derived and adapted to digitized images of tessellations. For m pixels of an image the algorithm is of complexity O(mlogm).
机译:对于STIT镶嵌-在镶嵌的操作迭代下稳定的静止镶嵌-研究了边缘系统的二阶测量。结果是该度量与布尔分段过程之一一致。在各向同性的情况下,给出了对相关函数的显式公式。用于边缘长度量度的协方差函数的估计器被导出,并且适合于镶嵌的数字化图像。对于图像的m个像素,该算法的复杂度为O(mlogm)。

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