A signature is generated for a given picture by operating on it with different masks. The operations are gray level generalizations of ``shrink'' and ``expand'' for binary pictures using Serra's morphological methods [10]. The signature is a set of numbers, each corresponding to an application of an operator at a certain scale and direction, and can be used to analyze the discriminate textures. It is shown that this family of signatures includes as special cases several currently used texture descriptors.
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Michael Werman (1985) studied this question.
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