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基于不可分离MRA的快速小波去噪图像重建
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摘要:
提出了一种基于不可分离MRA的小波去噪重建算法.算法将投影数据进行二通道的小波分解,从而直接得到小波的近似系数和细节系数,对这些小波系数进行基于小波的阀值化去噪处理,再经过逆小波变换就得到了最终的重建图像.算法降低了复杂度,与可分离MRA重建算法比较速度更快,并且可以去噪.
关键词:  图像重建  小波变换  局部成像  不可分离MRA
DOI:10.3969/j.issn.1001-893X.
Received:August 03, 2006Revised:December 10, 2006
基金项目:国家高技术研究发展计划(863计划)
A Wavelet Local Denoising-Reconstruction Algorithm Based on Non-separable MRA
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Abstract:
A wavelet reconstruction algorithm based on non - separable MRA is proposed. In the algorithm the projection data is disposed with two -channel wavelet decomposement to obtain the approximate coefficient and the detail coefficient of the image, and then after these coefficients are denoised with soft - thresholding, the image is reconstructed through reverse wavelet transform. With this algorithm, the complexity can be reduced. This algorithm not only has shorter reconstructing time, but also can denoise.
Key words:  image reconstruction  wavelet transform  local tomography  non - separable MRA