ABSTRACT

Mathematical Morphology is used to extract or modify information related to the shape and structure of objects within an image. Morphology is based on set theory, and the fundamental objects are treated as sets. Mathematical Morphology is a very useful tool in image processing. Morphological operators are non-linear, and commonly used in a number of image processing operations such as filtering, edge detection, feature detection, counting objects in an image, etc. There are two basic Morphological operators known as dilation and erosion. The other complex morphological operators, like opening and closing, can be obtained by combining dilation and erosion operations. Various morphological operators are described in this chapter. Morphological operations are basically defined for binary images but can be extended to grayscale images also. The extension to grayscale images is also provided in this chapter.