Abstract
This paper will come under discussion of fundamental properties of a narrow area in image processing. In this paper, equality is established and discussed in between soft erosion and soft open in multi scale environment as well as in iterative environment. Soft erosion and soft dilation will exist for various thresholds. So soft open also exist for various thresholds. If definition for soft erosion and soft dilation are studied (5), then some type of equalities are viewed among soft morphological operations. So equality may be established in between soft erosion and soft dilation in multi scale environment (47). In the same way because soft open is a composite operation, equality may be established among them also. In this paper it is extended to iterative environment. A very important point is that equality does not exist in mathematical morphology but will exist in soft mathematical morphology.
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