By using a lifting scheme, we present a technique to construct compactly supported wavelets whose coefficients are composed of free variables that lie in an interval. By selecting the coefficients of the 9 to 7 wavelet filter and associated lifting scheme, an efficient approach via wavelets for image compression is developed. Furthermore, the rationalized coefficients wavelet filter that can be implemented with simple integer arithmetic is achieved, and its characteristic is close to the well-known original irrational coefficients 9 to 7 wavelet filters developed by Cohen, Daubechies, and Feauveau. Software and hardware simulations show that the new method has very low complexity, and simultaneously preserves a high quality of a compressed image.
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