Model based on the integro-differential equation for multiplicative noise removal

Multiplicative noise removal is an important research topic on image processing. This paper presents a novel integro-differential equation approach for removing multiplicative noise. Under the assumption that multiplicative noise follows a Gamma distribution, we firstly discuss the classical AA model, and then in order to arrive at the novel integro-differential equation, integrate in inverse scale space a succession of refined ‘slices’ of the image. The novel integro-differential equation includes a monotone increasing scaling function. By choosing an adaptive scaling function, this equation can remove multiplicative noise efficiently. Finally, the experimental results demonstrate the better performance of the proposed model.