A Topological Model for Grayscale Image Transformation

Abstract

In this paper, we work on the topological properties such as the connectivity of regions, the boundaries and the adjacency for 2-D grayscale images. We present some original ideas for applying topology methods onto the graylevel image transformation which we call it pansystem topology. We use a Pansystem Parental model to develop an algorithm for grayscale image transformation. We also analyze the procedure of using pansystem clustering model to calculate connected components. The developed model can be well applied to biology image application such as image X-Ray image segmentation and cell counting.