Lifting wavelet transform and its application in image compression

Wavelet transform has the characteristic of good space-frequency local area,which makes it become a strong tool in image compression.The wavelet transform based on lifting scheme is called the second-generation wavelet transform.Wavelet lifting scheme provides a new faster realization method for all the first-generation wavelet transform,so that it no more depends on Fourier transform structure.The process of first-generation wavelet transform is divided into three phases of split,prediction and update by lifting scheme.The wavelet transform based on lifting scheme is the static image compression standard of new generation——one of the key algorithms in JPEG 2000.The paper analyses it's application in the basic of researching the lifting scheme.In the end of the paper,the lifting scheme is compared with Mallat algorithm,and the experimental result indicates that the lifting scheme is as double speed as the Mallat algorithm.