Mathematical Morphology Operations on Grayscale Image

Abstract

Mathematical Morphology is a tool for extracting image components
useful in the representation and description of region shape, such as boundaries,
skeletons and convex hulls. The mathematical morphology depends on set
theory and it can apply to binary images and gray scale images, and the usual set
operators can be applied to them.
The basic operation in mathematical morphology operate on two sets: the
first one is the image, and the second one is the structuring element. The
structuring element in practice is generally much smaller than the image, often
3x3 matrices