Narrow Results

The lifting scheme provides a new ideal for constructing multiwavelets. Through the introduction and discussion of constructing wavelets and multiwavelets with lifting scheme. A new constructing multiwavelets method with lifting scheme based on equivalent scalar filter bank is proposed in the paper, and the example has proved its feasibility.

Lifting scheme is not only a fast algorithm of existing wavelet transforms, but also a tool to produce new wavelet transforms. According to the characteristic of the lifting scheme and the 9-7 wavelet, we present a new constructing of simple rational coefficient filters for lifting 9-7 wavelets in this paper. The new lifting wavelets reduce its float and integer operations, and applied the new lifting 9-7 wavelet filters to image compression, we have achieved better results.

The lifting scheme based on spatial domain has been widely used in the digital image processing that its computes fast and simple, and it is calculated for the reversible from integer to integer wavelet transform. According to M-channels wavelet transform theory and the signal being subdivided, it is carried out the lifting to M-channels wavelet transform, and a new fast algorithm of M-channels lifting wavelet transform is presented in this paper. The algorithm is easy to compare with the traditional wavelet transform that it has only the decomposed algorithm, the composed algorithm is given. However, integer to integer wavelet transform can be achieved when the operation result is taken the proximal integer. The algorithm is used to image processing. The experiment result shows the algorithm is very useful for image compression.