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Definition of "morphological operator" |
an operation for transforming images, which does not arise from the traditional signal processing methodology using linear filters and Fourier analysis but which is rather based on set theoretical operations. Such an operator for sets (binary images) combines union, intersection, translation, and sometimes complementation. For numerical functions (graylevel images), union and intersection are replaced by supremum and infimum (upper and lower envelope), while gray-level inversion takes partially the role of set complementation. However morphological operators for gray-level images can be visualized by applying the corresponding morphological operator for binary images to the umbra of a graylevel image. |
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