Automated Edge Detection Technique Using Fractional Mask in Fuzzy Domain

Deduction of edges is an important operation in image processing. Among various existing edge detection techniques in recent days fractional derivatives have been utilized widely. In this paper, the image edges are identified by using fractional derivative of order \(v \in (0,1)\) . The order of the fractional derivative has been optimized for each image by converting each edge image obtained for various orders between 0 to 1 into fuzzy images. From these fuzzy images, a single image is considered whose divergence measure is minimum. A fuzzy image with minimum divergence is defuzzified to get an edge image. The results of the proposed technique have been compared with the existing edge detection method. Quantitatively metric values have been evaluated which explains the performance of the proposed technique.