A computationally efficient fast recurrent generalized cross validation(FR-GCV) algorithm for natural image denoising is presented based on integer wavelet transform.Firstly the integer grey-scale pixels are transformed into integer wavelet coefficient,And its distribution is calculated.Then the fast recurrent procedure based on integer wavelet coefficient is applied,which takes full advantage of the relevance between GCV functions under adjacent thresholds.In addition,the FR-GCV algorithm further reduces t...