Camps , Kanungo and Haralick : Grayscale Sturcturing Element Decomposition

| EEcient implementation of morphological operations requires the decomposition of structuring elements into the dilation of smaller structuring elements. Zhuang and Haralick presented a search algorithm to nd optimal decompositions of structuring elements in binary morphology. In this paper we use the concepts of Top of a set and Umbra of a surface to extend this algorithm to nd an optimal decomposition of any arbitrary gray scale structuring element. Keywords| Structuring element decompostion, mathematical morphology.