激光与光电子学进展, 2014, 51 (5): 051102, 网络出版: 2014-04-23  

极少方向投影光偏折CT 的偏折角压缩传感修正重建

Deflection Tomography Reconstruction Technology Based on Deflection Angle Compressed Sensing Revision from Few View-angles Projections
作者单位
青岛科技大学机电工程学院, 山东 青岛 266061
摘要
将压缩传感理论与偏折角修正迭代技术相结合解决光偏折层析极少方向的投影重建,提出了一种新的偏折角压缩传感修正重建算法。该算法以待测场梯度的l1 范数为稀疏性先验模型,结合最速下降法进行全变差调整,并引入压缩传感权重因子对迭代过程进行优化。在极少方向投影条件下对双峰温度场进行模拟重建,并在相同条件下与已有算法进行比较。结果表明,在6 方向投影数据条件下,新算法在峰值构建和重建平滑度方面均表现出显著的优越性,新算法的峰值误差和标准距离误差分别比现有算法降低了18.32%和46.67%。通过对喷焰温度分布的实验测量证明了该算法的有效性。
Abstract
The theory of compressed sensing is integrated with deflection angle revision iteration technique for deflection tomography reconstruction from few view- angles projections. A new iterative reconstruction algorithm with deflection angle compressed sensing revision is developed to improve the quality of reconstruction distribution from incomplete projection data. The algorithm, which combines the sparsity of the object field gradient l1 norm, is adjusted by total variation with the steepest descent method. A compressed sensing weighting factor is employed in every iteration step to optimize the reconstruction. In numerical simulation, the new approach produces reliable reconstruction for asymmetrical temperature distribution from 6 view- angles projections. The error analysis provides a good indication of the precision and convergence of the algorithm. Compared with our previous algorithm for deflection tomography, the new algorithm turns out to be more accurate.The maximum value error is reduced by 18.32% and the normalized distance error is reduced by 46.67% when the new reconstruction algorithm is employed. The efficacy of the new algorithm has been assessed by reconstructing a flame temperature field.

张斌, 刘龙. 极少方向投影光偏折CT 的偏折角压缩传感修正重建[J]. 激光与光电子学进展, 2014, 51(5): 051102. Zhang Bin, Liu Long. Deflection Tomography Reconstruction Technology Based on Deflection Angle Compressed Sensing Revision from Few View-angles Projections[J]. Laser & Optoelectronics Progress, 2014, 51(5): 051102.

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