On combining dual morphological binary operators using median set

Abstract

In the paper an approach to combining dual morphological operators: erosion/dilation and opening/closing is discussed. It is based on the morphological interpolation by means of a median set. The boundary of such a set is located halfway between the boundaries of sets that are results of dual operators. The proposed combination of dual morphological operators by median set is an self-dual morphological operator able to process both foreground and background image details in the same way. An application of the discussed approach to binary image enlargement is presented in the paper as well.