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This paper addresses the problem of determining the probability mass function of connected component sizes for independent and identically distributed binary images. We derive an exact solution and an effective approximation that can be readily computed for all component sizes.
Larry Pearlstein
"A probabilistic analysis of connected component sizes in random binary images (Conference Presentation)", Proc. SPIE 11394, Automatic Target Recognition XXX, 113940N (24 April 2020); https://doi.org/10.1117/12.2551168
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Larry Pearlstein, "A probabilistic analysis of connected component sizes in random binary images (Conference Presentation)," Proc. SPIE 11394, Automatic Target Recognition XXX, 113940N (24 April 2020); https://doi.org/10.1117/12.2551168