An improved method is presented to overcome the drawbacks of the original NAS-RIF algorithm.To deal with the noise sensitivity of NAS-RIF, higher order statistics denoising was introduced.To solve the problem that the NAS-RIF requires square support region, the image segmentation based self-estimation of image support region was used.At last, simulation was made to various PSNR images and backgrounds.The improved algorithm was compared with the original one.The simulation results show that the improved algorithm solves the problems of the original algorithm, and can improve the quality of recovery image observably.