Morphological contour decomposition and reconstruction by using asymmetric SEs

We had proposed an algorithm based on mathematical morphology to decompose and reconstruct an image by using two contours [4]. These contours are defined as the edge and the second edge (i.e., the edge of the image which has been removed an edge once) of the original image. Since these contours have informations of boundary and internal direction of image, the original image can be reconstructed exactly from them. However, there was a restriction in this algorithm that the structuring element (SE) used for making contours must be symmetric. In this paper, we will show an expansion of the algorithm to be able to use asymmetric SEs under a certain condition and also show some applications of this method.