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Definition of "rank filter" |
an image transform used in mathematical morphology. Assume that to every pixel p one associates a window W(p) containing it. Let k be an integer > 1 which is less than or equal to the size of each window W(p). The rank filter with rank k and windows W(p) transforms an image I into a filtered image I' whose gray-level I'(p) at pixel p is defined as the k-th least value among all initial gray-levels I(q) for q in the window W(p). In a dual version, the k-th greatest value is selected. When each W(p) is the translate by p of a structuring element W of size n, three particular cases are noteworthy: |
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