基于小波不可分离多分辨率的图像重建

文中提出并实现了一种基于小波不可分离多分辨率的重建算法。在图像重建领域内利用小波变换时，是对二维图像进行行和列的依次滤波，需要假定二维信号是关于自变量x和y可分离的，而实际二维信号中大多是不宜分开处理的。在算法中首先将投影数据进行二通道的小波分解，在分解抽样中，使用不同的抽样方法，直接得到小波的近似系数和细节系数，这些系数再经过逆小波变换得到最终的重建图像。基于不可分离多分辨率的小波算法将投影数据进行二通道的小波分解。

Image Reconstruction Based on Wavelet Non-Separable MRA

Propose and realize a wavelet reconstruction algorithm based on non-separable MRA.In the area of image reconstruction using wavelet transform,the two-dimensional image,in order to filter out and the need on the assumption that two-dimensional signal is variable x and y separable,and the actual two-dimensional signal is not appropriate to separate most of deal with it.Firstly,disposed the projection data with two channel wavelet to obtain the approximate coefficient and the detail coefficient of the image through using different sample methods.This algorithm has not only the local reconstruction characteristic but also improves the reconstruction quality as well as the calculation speed.