We indicate how granulometries may be useful in the analysis of random sets. We define a suitable size distribution function as a tool in exploratory data analysis and give a new Hanisch-style estimator for it. New Markov random sets are constructed which favour certain sizes above others. Applications and examples on real and simulated data sets are included.

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CWI
CWI. Probability, Networks and Algorithms [PNA]
Signals and Images

van Lieshout, M.N.M. (1997). Size distributions in stochastic geometry. CWI. Probability, Networks and Algorithms [PNA]. CWI.