Novel image denoising algorithm based on bispectral reconstruction

A novel image denoising algorithm based on the bi-spectral reconstruction was proposed. The basic idea of this new algorithm was:higher order statistics was not sensitive to the Gaussian noise. First of all, this new algorithm would calculate the higher order spectrum of the image, and theoretically this higher order spectrum would not include the Gaussian noise any more. Secondly, it would reconstruct the amplitude and phase information of this processed image by the higher order spectrum. Finally, it would get the denoised image by transforming to the spatial domain. This new algorithm was the algorithm of transformation and reconstruction in higher order spectrum. Simulation results and analysis indicate that this new algorithm could solve the contradiction between reducing noise and reserving the image detail so that in views of both visual quality and quantitative analysis, the new algorithm is better than the median-value filtering algorithm and the higher order cumulant algorithm.