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Proceedings Paper

Asymptotic distributions for morphological granulometric moments
Author(s): Francis M. Sand; Edward R. Dougherty
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Paper Abstract

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.

Paper Details

Date Published: 1 June 1992
PDF: 11 pages
Proc. SPIE 1769, Image Algebra and Morphological Image Processing III, (1 June 1992); doi: 10.1117/12.60629
Show Author Affiliations
Francis M. Sand, Fairleigh Dickinson Univ. (United States)
Edward R. Dougherty, Rochester Institute of Technology (United States)

Published in SPIE Proceedings Vol. 1769:
Image Algebra and Morphological Image Processing III
Paul D. Gader; Edward R. Dougherty; Jean C. Serra, Editor(s)

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