针对由少量角度的投影数据重建CT图像的问题, 提出了一种改进的基于图像总变差最小的迭代重建算法。该算法采用共轭梯度法求图像总变差最小, 并在迭代过程中采用了多分辨迭代技术。用模拟的投影数据和实际扫描数据进行了重建数值实验。实验结果表明该算法不但提高了重建图像质量, 也同时显著提高了迭代图像的收敛速度。

In order to reconstruct high-quality image from projection data at few views, we develop an improved fast iterative reconstruction algorithm based on the minimization of the image total variation (TV). In the algorithm, conjugate gradient method is applied to solve the minimization of the image total variation, and multi-resolution iterative technique is used in the iteration process. We have performed numerical experiments using both computer-simulation data and real CT data. Experimental results demonstrate that the proposed algorithm not only improves the quality of image reconstructed, but also significantly increases the convergence speed of iteration image.