On the Properties of Morphological Skeletons of Discrete Binary Image Using Double Structuring Elements

This paper discusses the properties of the morphological skeletons of a discrete binary image using double structuring elements. Skeletons are generated under the main structuring element and the sub structuring element. The original image can be reconstructed using one of the structuring elements as the conventional skeleton by a single structuring element. Selecting a structuring element as the subset of other one, a characteristic pattern of the image can be generated as the skeleton subsets. Among them are a unique nested skeleton and a shape representing skeleton having skeletal line component and total shape one. The conventional type, skeleton can be obtained either by setting the two structuring be same or by the intersection of the two skeletons by two sets of double structuring elements. We discuss some theorems, control generation of the skeleton, and the related morphological skeletons with interesting examples