Image Segmentation based on Fuzzy Region Competition

In this work, we studied variational models for image segmentation present in literature, in which will be discussed its mathematical formulations and characteristics of minimization processes. Among these techniques, it will be explored the method Fuzzy Region Competition and segmentation models that can be derived from its energy functional. Inspired by this method, three modifications were proposed based on these models that minimize some of their limitations and which emerges as alternatives for real-world image segmentation. The proposed modifications were validated by the good results obtained using natural, textured and noisy images. In addition, some comparative results are shown with other similar techniques with the objective of reporting the effectiveness of the proposed models. 1 Keywords-soft image segmentation, Fuzzy Region Competition, Variational Methods, Partial Differential Equations.