Abstract: As a new type of multiresolution frequency transform theory, wavelet transform has been widely used in applied mathematics、physical and i
nform science. In image processing, especially in image compression, recently last ten years, investigations and applications of image compression  with wavelet transforms are very active. By analyzing construction and vanishing moment properties of biorthogonal wavelets, we propose a very simple method by the solution of linear equations, so that a new wavelet construction method that contains parameters is presented. For various wavelet parameters, and based on properties, we discuss performance of quality and computation of restoration image by means of wavelets  in this paper. When wavelet coefficients are simple integers, simulation experiment shows that the new method can retain both high compression performance and very good fast computational feature.

Key words: wavelet transform, image coding, fast algorithm, compression