论文标题
通过L1/L2最小化有限角度的CT重建
Limited-angle CT reconstruction via the L1/L2 minimization
论文作者
论文摘要
在本文中，我们考虑将计算机断层扫描（CT）重建中有限角度扫描问题的梯度上的L1/L2项最小化。我们为不受约束的优化模型设计了一个特定的分裂框架，以便在某些条件下保证乘数的交替方向方法（ADMM）保证了收敛性。此外，我们合并了一个合理的成像应用程序的盒子约束，并且还可以建立其他框约束的收敛性。合成数据和实验数据集的数值结果证明了我们提出的方法的有效性和效率，显示出对限量角CT重建中最新方法的显着改善。
In this paper, we consider minimizing the L1/L2 term on the gradient for a limited-angle scanning problem in computed tomography (CT) reconstruction. We design a specific splitting framework for an unconstrained optimization model so that the alternating direction method of multipliers (ADMM) has guaranteed convergence under certain conditions. In addition, we incorporate a box constraint that is reasonable for imaging applications, and the convergence for the additional box constraint can also be established. Numerical results on both synthetic and experimental datasets demonstrate the effectiveness and efficiency of our proposed approaches, showing significant improvements over the state-of-the-art methods in the limited-angle CT reconstruction.
