Fractional order calculus based fruit detection

Fractional calculus is a generalization of integration and derivation to noninteger order with a fundamental operator. Due to the extra free parameter of noninteger order $\alpha$, fractional order based methods provide additional degree of freedom in optimization performance. Expectedly fractional-order based methods have find their applications in image processing field. In this work color analysis applied pomegranate and orange pictures. After color analysis edge detection is used to segment fruits in the picture. For segmentation a fractional order calculus based Sobel operator is used. The performance of the system is evaluated with respect to the noninteger order $\alpha$.