Succolarity: Defining a method to calculate this fractal measure

Three aspects of texture are distinguished by fractal geometry: fractal dimension (FD), lacunarity and succolarity. Although, FD has been well studied and lacunarity has been more and more used, succolarity, until now, has not been considered. This work presents a method to compute succolarity. It considers its applicability and relations (differences and similarities) with of each other fractal measure, as well. The proposed method for this computation is based on the FD box counting approach adapted to the notions of succolarity. A simple example is shown step by step to easily explain how to compute the succolarity for binary images. Furthermore, it is shown that the proposed method is able to correctly distinguish social aspects of cities on satellite images. The main idea is the use of succolarity as a new feature in the pattern recognition process mainly for identification of natural textures. Succolarity works very well when the input images have direction and/or flow information associated with it.