基于小波变换的Wiener滤波投影预处理算法在图像重建中的应用

研究了一种将小波变换与Wiener滤波相结合用于投影数据预处理的算法。由于小波变换具有多分辨率分析特性,通过小波多尺度分析和小波系数控制,并结合Wiener滤波具有MMSE上最优性能的特点提出一种二者相结合的方法用于投影数据降噪预处理。对该算法进行实验仿真,结果表明,降噪后重建的图像主观质量得到明显改善,重建图像的噪声得到有效抑制。峰值信噪比方面可比一般的降噪方法提高5-12dB。

Based on Wavelet Transformation Wiener Filter Projection Pretreatment Algorithm in Image Reconstruction Application

It has studied one algorithm which unifies the wavelet transformation and the Wiener filter using in projection data pretreatment.Because the wavelet transformation has the multiresolution analysis characteristic,through control from wavelet multicriterion analysis and the wavelet coefficient,and unify the Wiener filter’s characteristic having the most superior performance on MMSE,propose one kind of the two unify method using in projection data denoising pretreatment.Carring on the experiment to this algorithm,the results show that after noise reduction,the reconstruction image subjective quality has distinct improvement,and the reconstruction image’s noise obtains suppresses effectively.Comparing Wiener filter with wavelet denoising method,the peak value signal-to-noise ratio has the distinct enhancement.In peak value signal-to-noise ratio aspect,it can enhance 5-12dB compared to the general noise reduction methods.