ABSTRACT

Lifting is an iterative procedure for constructing biorthogonal wavelet bases. The procedure takes a simple initial basis and, through successive modifi­ cations of the basis functions, fine tunes such properties as the number of vanishing moments and the order of approximation. The canonical lifting step involves either modifying the wavelets while holding the scaling func­ tions fixed or modifying the dual wavelets while holding the dual scaling functions fixed. This cycle of modifications is repeated until the desired basis properties are obtained.