An Image Segmentation Procedure Based on the Superposition Principle of Quantum Mechanics

In this paper we propose a procedural approach to the problem of image segmentation. This procedural approach may be parameterized with optimized values for a specific type of data. It uses an algorithm which is inspired by the superposition principle of Quantum Mechanics, in the sense that each particular pixel has a certain probability of being of a certain type (boundary, interior, exterior or noise) and only when an observation is made, by means of choosing a designated threshold value, it gets a concrete state. The procedure is applied to a particular example of vessels network and we determine its maximum length dividing the total area by an average vessel thickness.