One of the classic results of mathematical morphology is the filter-representation theorem of G. Matheron (1975) for black-and-white images. The theorem states that any morphological filter can be represented as a union of erosions by elements in the filter's kernel. In its dual form, it states that the erosion representation can be replaced by an intersection of dilations by elements of the dual filter's kernel. Here, the dual-form of the gray-scale representation is derived in terms of a minimum of dilations by elements in the dual filter's kernel.<>


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    Title :

    The dual representation of gray-scale morphological filters


    Contributors:


    Publication date :

    1989-01-01


    Size :

    330557 byte





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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