Application of Multi-Wavelet Analysis in Image Compression

Wavelet analysis has been widely applied in many fields such as image processing as well as signal representation and analysis with its unique characteristics of time-frequency localization. To use multi-wavelet in the image compression is an important aspect of the application of wavelet. However, most of the multi-scale function of the existing wavelet can meet the low-pass property and how to convert one-dimensional signal as the vector input flow deserves further research. Bi-orthogonal wavelet has compact support, high-order vanishing moments and symmetry and its construction theory has attracted extensive attention and research from the people. This paper explores the applications of multi-wavelet in the image compression from the perspective of bi-orthogonal multi-wavelet and proposes the idea to use bi-orthogonal balanced multi-wavelet algorithm in the image compression. The result of the simulation experiment shows that to use this method in the image compression can obtain a higher peak signal to noise ratio and a relatively ideal compression ratio.