基于小波变换的图像编码方法

Image Coding Scheme Based on Wavelet Transform

通过研究双正交小波变换的结构以及消失矩特性 ,利用线性方程组的求解 ,提出了一种双正交小波变换的构造方法 ,从而设计出一种新型的含参数 9/ 7双正交变换 .对于不同的小波变换系数参数 ,根据其不同性质讨论了不同小波实施图象压缩的恢复图象质量及其计算方面的性能 .当小波系数为简单整数时 ,图像压缩的数值实验表明 ,该方法在保证良好压缩性能的前提下 。

As a new type of multiresolution frequency transform theory, wavelet transform has been widely used in applied mathematics?physical and inform 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.