Shape classification via linear granulometric moments is examined for patterns suffering varying degrees of edge noise. It is seen that recognition is quite poor even for modest amounts of noise and remains poor even when the patterns are first filtered by a close-open filter. Recognition accuracy is greatly improved, for both unfiltered and filtered images, by employing exterior granulometries. These are constructed by applying the various linear structuring-element sequences to the corresponding linear convex hulls of the noisy patterns. The resulting granulometric distributions are then not corrupted by noise-induced probability mass at the left of the pattern spectrum, thereby greatly diminishing the detrimental effects on the pattern spectrum moments.
Library of Congress Subject Headings
Image processing--Digital techniques; Morphisms (Mathematics)
Department, Program, or Center
Chester F. Carlson Center for Imaging Science (COS)
Cheng, Yingchong, "Morphological classification of noisy shapes via exterior granulometries" (1993). Thesis. Rochester Institute of Technology. Accessed from
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