Soft morphological filters: a robust morphological filtering method

Abstract
We introduce new morphological filters, called soft morphological filters. They maintain most of the desirable properties of standard morphological operations yet are less sensitive to additive noise and to small variations in the shapes of the objects to be filtered. The main difference from standard morphological filters is that maximum and minimum operations are replaced by more general weighted-order statistics. This results in the loss of some algebraic properties but improved performance under noisy conditions.

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