Abstract
The computation of the mean perimeter density via the notion of mean covariogram for non-stationary Boolean models has been proposed as further work in Galerne (Image Anal. Stereol. 30 (2011) 39–51). We address this issue by considering here more general germ-grain models. Furthermore, we discuss similarities and differences with respect to the computation of the mean boundary density by means of the outer Minkowski content notion.
Acknowledgments
I thank the anonymous referees for their accurate reading of the paper, and their valuable comments and suggestions which improved significantly the quality of this paper.
The author is member of the Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM).
Citation
Elena Villa. "On the mean perimeter density of inhomogeneous random closed sets." Bernoulli 29 (4) 2719 - 2744, November 2023. https://doi.org/10.3150/22-BEJ1558
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