An image edge processing method is disclosed. The method includes steps of: extracting a brightness component from an input image; calculating an edge probability value mp of each pixel in the image according to the extracted brightness component; calculating an enhancement coefficient A for each pixel based on the edge probability value mp; performing a noise detection according to the brightness component, and determining if each pixel in the image is a noise point; when the pixel is not a noise point, performing a logarithmic processing to the pixel in order to obtain a data w; enhancing an edge of the image according to the λ, the w and the brightness component in order to obtain an enhanced brightness component data; and after performing a brightness component synthesis according to the enhanced brightness component data, outputting an enhanced image. An electronic device and computer readable storage medium are also disclosed.