In this paper

the basic theory of the soft morphology is presented and the soft morphology applied to detecting edge is discussed by its monotonicity

extensibility and anti-extensionality. The soft morphology is a non-linear operations based on standard morphological operations. The idea of soft morphological operations is to relax the standard definitions a little

in such a way that a degree of robustness is achieved while most of the desirable properties of standard morphological operations are maintained. The traditional edges detection methods are compared with the algorithms based on the soft morphological operators after analyzing their geometrical properties and the effects of the structuring element. The simulation results

which are better than the traditional operators illustrate the attractive property of the method. Especially

in the noising condition the method can detect edges without filtering.