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.
On the mean perimeter density of inhomogeneous random closed sets / E. Villa. - In: BERNOULLI. - ISSN 1350-7265. - 29:4(2023 Nov), pp. 2719-2744. [10.3150/22-BEJ1558]
On the mean perimeter density of inhomogeneous random closed sets
E. Villa
2023
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.
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