Convexity indicators based on fuzzy morphology

Abstract This study results in a very general class of convexity indicators, which measure the degree of convexity of objects on grey-tone and binary images. They are based on fuzzy set theory, more precisely, on the fuzzy inclusion indicators defined by Sinha and Dougherty. Consideration is given to the fuzzy morphological operations which are used in the construction of inclusion and convexity indicators.

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