Narrow Results

This extended abstract of the thesis “Computational Intelligence in Image Segmentation”, explains the formulation of the objectives and expected contributions, a short outline of the problem domain's current knowledge, some proposed solutions to the problem, preliminary results obtained so far, and conclusions.

A crisp image segmentation can be characterized in terms of the set of edges that separates the adjacent regions of the segmentation. Based on these edges, an alternative way to define a fuzzy image segmentation is introduced in this paper. In this sense, the notion of fuzzy image segmentation is characterized by means of a fuzzy set over the set of edges, which could in this way be understood as the fuzzy boundary of the image. Also, an algorithm to construct this fuzzy boundary is provided based on the relations that exist between the fuzzy boundary set problem and the (crisp) hierarchical image segmentation problem. Finally, some computational experiences have been included in order to show the fuzzy boundaries of some digital images.