An Integro-differential Equation Approach to Reconstructing Images Corrupted by Poisson Noise

This paper presents a novel integro-differential equation approach for removing Poisson noise. The classical Total Variational (TV) minimization model is discussed, and then the novel hierarchical multiscale variational image representation model is given. To arrive at the novel integro-differential equation, one integrates in inverse scale space a succession of refined slices of the image. The novel integro-differential equation includes a monotone increasing scaling function. According to choose an adaptive scaling function, this equation can remove Poisson noise efficiently. Finally, the experiment results demonstrate the proposed model obtains better effects compare with the classical TV and fourth-order partial differential equation models.