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基于乘型ART算法的快速图像重建技术研究
引用本文:陈晔,马铁华.基于乘型ART算法的快速图像重建技术研究[J].应用基础与工程科学学报,2005(Z1).
作者姓名:陈晔  马铁华
作者单位:中北大学电子工程系 中北大学电子工程系 山西太原 山西太原
摘    要:为了利用迭代算法快速实现不完全投影数据下的图像重建,介绍了乘型ART(A lgebraic Reconstruction Techniques)迭代算法的快速实现,利用投影矩阵是一个极大的超稀疏矩阵的性质,对迭代矩阵计算方法进行简化,并对其存储结构和检索方法进行优化设计,使迭速度得到了大大提高.在不完全投影的情况下,该迭代算法具有一定的优势.同时针对迭代模型不足导致的重建伪影提出了校正方法,取得了理想的效果.

关 键 词:图像重建  ART  计算机断层扫描  滤波反投影  迭代矩阵

Fast Image Reconstruction Method Based on Multiplying-type ART Algorithm
CHEN Ye,MA Tiehua.Fast Image Reconstruction Method Based on Multiplying-type ART Algorithm[J].Journal of Basic Science and Engineering,2005(Z1).
Authors:CHEN Ye  MA Tiehua
Abstract:In order to realize the fast image reconstruction with iterative algorithm on the base of(incomplete) projection data,the fast multiplying-type ART(Algebraic Reconstruction(Techniques)) algorithm is introduced.According to the fact that the projection matrix is a super sparse matrix,the calculating method of the iterative matrix is simplified,and it's structure and looking up way are optimized,which make iterative speed improved obviously.The result proves that the multiplying-type ART algorithm has an advantage over the result that is (generated) through filter back-projection algorithm when using incomplete projection data.In addition,the reconstructed artifact caused by the shortage of the projection matrix model is(corrected) and an ideal effect is finally got.
Keywords:image reconstruction  ART  computed tomography  filter back-projection  (iterative) matrix
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