Cell Complexes and Membrane Computing for Thinning 2D and 3D Images

In this paper, we show a new example of bridging Algebraic Topology, Membrane Computing and Digital Images. In [24], a new algorithm for thinning multidimensional black and white digital images by using cell complexes was presented. Such cell complexes allow a discrete partition of the space and the algorithm preserves topological and geometrical properties of the image. In this paper, we present a parallel adaptation of such algorithm to P systems, by introducing some concepts of Algebraic Topology in the Membrane Computing framework. The chosen model for the implementation is tissue-like P systems with promoters, inhibitors and priorities.