Asymptotic distributions for morphological granulometric moments
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Treating a binary image as a random process results in the granulometric pattern spectrum being a random function and its moments being random variables. Because these moments are used as image signatures and as local texture descriptors, their statistical distributions, and in particular their moments, are of importance. The present paper employs a theorem of Cramer to show for a certain class of image models that the pattern-spectrum-moment distributions are asymptotically normal, and it provides asymptotic expressions for moments of the spectrum moments. To facilitate application of Cramer's theory the paper introduces the class of orthogonal granulometric generators.
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Image Algebra and Morphological Image Processing III