数字图像多小波逆变换及后置滤波算法

为了使数字图像多小波变换域的数据能够快速和有效地还原到空间域，并使还原后的图像具有很好的视觉效果，提出包括多小波逆变换和后置滤波的多小波还原算法。该方法通过前置滤波和多小波正变换将空域图像变换到多小波域，并对多小波域的低频分量和高频分量按一定规律重新组合，在没有额外内插零的情况下进行逆变换和后置滤波还原出空域图像。实验结果表明，所提算法得到的还原图像与原始图像相比90%以上像素点的误差值小于0.0001。

Multi-wavelet inverse transform and post filtering algorithm for digital images

In order to quickly and effectively reduce digital image from multi-wavelet transform domain to space domain and get the reduced image with better visual result, a reduction method including inverse transform and post filtering was proposed. The proposed method decomposed image from space domain to transform domain by pre-filtering and multi-wavelet transform, and then recombined high and low frequency components, finally reduced spatial domain image without interpolation zero. The experimental results show that compared with the original image, the error value of more than 90% pixels of restored image is less than 0.0001.