SECOND MOMENT MEASURE AND K-FUNCTION FOR PLANAR STIT TESSELLATIONS
Keywords:covariance function, estimation, K-function, pair-correlation function, random tessellations, second moment measure, STIT tessellations, stochastic geometry
AbstractFor 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).
How to Cite
Weiss, V., Ohser, J., & Nagel, W. (2011). SECOND MOMENT MEASURE AND K-FUNCTION FOR PLANAR STIT TESSELLATIONS. Image Analysis & Stereology, 29(2), 121–131. https://doi.org/10.5566/ias.v29.p121-131
Original Research Paper