This paper presents a novel adaptive denoising method based on wavelet shrinkage method.First

we present a new class of thresholding function that has continuous derivative while the derivative of standard soft-thresholding function is not continuous.The new thresholding function makes it possible to construct an adaptive algorithm whenever using the wavelet shrinkage method.Second

by using the new thresholding function

we present an adaptive method based on SURE Risk.At last

several numerical examples are given

the result shows that the proposed method is very effective in adaptively finding the optimal solution in mean square error(MSE) sense.It also indicates that this method gives better MSE performance than other wavelet shrinkage methods.