Toward an optimal B-spline wavelet transform for image compression

We present in this paper a new biorthogonal wavelet transforms using splines performed in a “lifting” manner. Specifically, polynomial splines of different order were used in the lifting constructions. We study the influence of the order of filters using polynomial splines on image compression in order to choose the best wavelet transforms. In addition, a comparative study of these transforms is done firstly with the biorthogonal B9/7 transform which is frequently used in image compression and secondly with the existing B-spline based transforms. We show through experimental results that our proposed wavelet transforms outperform the existing ones in image compression.