Based on Lifting Scheme Double Adaptive Wavelet Transforms Applied on the Image
应用于图像的基于提升方法的双自适应小波变换

Because of the better temporal and frequency properties, the wavelet approximation with constant size filter can get better decomposition effects for the smooth image. However, standard wavelet approximation techniques cannot achieve similar results for images which are not smooth. The structures of wavelet transforms based on the adaptive lifting scheme with perfect reconstruction presented by Heijman et al. , this paper proposed the double adaptive wavelet transform which adopts the adaptive transform in both the update and prediction processes. The transform can perform perfect reconstruction without any overhead cost. At last, the experiment results demonstrate that the algorithm not only allows perfect reconstruction without any overhead cost but also can improve the PSNR of the image.