New Gradient EDGE Detection Method Based on Caputo k-Fractional Derivative

In this paper, we propose a new gradient edge detection method based on the Caputo $k$-fractional derivative. In this method, we construct a new $ 3×3 $ fractional order mask to obtain the gradient components. The main property of this technique is that it has a double memory effect in detecting edges. The experimental results for some natural and medical test images show that our proposed edge detection method outperforms both Caputo and Caputo-Fabrizio fractional methods in terms of both visual perception and peak signal to noise ratio.

• edge detection
• fractional calculus
• gradient operator
• Caputo-Fabrizio derivative
• image processing

• Image and Object Detection Techniques
• Image and Signal Denoising Methods
• Fractional Differential Equations Solutions
• edge detection
• fractional calculus
• gradient operator
• Caputo-Fabrizio derivative
• image processing
• Computer Vision and Pattern Recognition
• Modeling and Simulation
• Computer Science
• Mathematics