适应于图像压缩的11/9小波基构造

根据正交多分辨分析理论,利用求解低通和高通滤波的系数,可构造出多种正交小波.但正交小波中只有Haar小波满足对称性,这不适合在图像处理方面的应用.在提升格式的小波变换出现之前,小波分解通过Mallat算法来完成,而提升格式的小波有显著的优点,运算量少,不同小波运算量减少程度不一样,一般减少在25%到50%之间.文章根据双正交对称紧支集小波的消失矩、对称性、短支撑等一系列条件和其他构造原理,构造出一个适应图像压缩的11/9双正交提升小波,并满足Cohen-Daubechies准则.同时,为了便于小波变换的硬件实现,最佳的状态是,分解和重构滤波系数为二进制分数,且根据不同参数取值,让子带编码增益G_(SBC)达到最大.

The Construction of 11/9 Wavelet for Image Compression

Lots of orthogonal wavelets can be constructed by the multi-resolution analysis of wavelet transform theory. Actually we can solve the low and high wavelet filters coefficients. All wavelets except Haar wavelet are not symmetric, which is not suitable for the applications of the image processing. Before the advent of the wavelet lifting scheme, the Mallat method is often used. However, the wavelet lifting scheme make the calculation quantities reduced. According to the vanishing moments of wavelet filters, symmetry, and other theories, 11/9 wavelet which is based on Cohen-Daubechies criterion is constructed. For the convenience of transforming into hardware, one of the wavelet filter coefficients is binary digit fraction. The optimal coding will be gained.