ABSTRACT

For the purposes of image analysis and pattern recognition, one often transforms an image into another better represented form. Image-processing techniques have been developed tremendously during the past ve decades and mathematical morphology in particular has been continuously receiving a great deal of attention because it provides a quantitative description of geometric structure and shape as well as a mathematical description of algebra, topology, probability, and integral geometry. Mathematical morphology has been proven to be extremely useful in many image processing and analysis applications.