Construction of Self-Dual Morphological Operators and Modifications of the Median
نویسنده
چکیده
The median operator is a nonlinear (morphological) image transformation which has become very popular because it can suppress noise while preserving the edges. I t treats the foreground and background of an image in an identical way, that is, it is a self-dual operator. Unfortunately, the median operator lacks the idempotence property: it is not a morphological filter. This paper gives a complete characterization of morphological operators on discrete binary images which are increasing, translation invariant, and self-dual. Furthermore, it presents a general method for the modification of an increasing operator such that it becomes activity-extensive. Such modifications lead to idempotent operators under iteration. The general procedure is illustrated by giving several modifications of the 3 x 3 median operator.
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