提升的M通道小波变换在图像压缩中的应用

针对M通道小波变换对信号分频范围更细这一特点，利用基于空间域的小波提升方案，实现了M通道小波变换的提升分解。这种提升分解是不唯一的，可以利用这种分解的不唯一性，使变换具有所需的性质。为此给出了一种M通道快速提升小波变换的算法。该方法只要有分解算法，立即可以得到合成算法，而且将运算结果取为最接近的整数，就可实现整数到整数的小波变换。实验结果表明了该方法对图像压缩的有效性。

Application of lifting M-channels wavelet transform in image compression

According to the characteristic of the frequency domain being subdivided by the M-channels wavelet transform, the lefting decomposition of M-channels wavelet transform was carried out via the lifting scheme. That lefting decomposition is not exclusive, so that the transform is possessed the needed property by it. And a new algorithm of M-channels fast lifting wavelet transform was presented. The composed algorithm was given as long as the decomposed algorithm was given. Furthermore, wavelet transform from integer to integer could be achieved when the operation result was taken to the proximal integer. An application example and its simulations indicate that the algorithm is effective for image compression.