The simple thresholding algorithm in a wavelet basis is almost optimum nonlinear estimation. For piecewise smooth signal, the risk with wavelet thresholding is nearly the best value. The PSNR of Estimation with standard wavelet thresholding is enhanced, but edges of the picture are influenced by Gibbs′s surge, so the visual quality is lower. With a advanced translation invariant wavelet thresholding algorithm, the higher PSNR of Estimation is obtained, and it is more important to improve the visual quality of Estimation.