Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia 30322, USA.
Med Phys. 2013 Aug;40(8):081919. doi: 10.1118/1.4816303.
This work is to investigate the feasibility of improving megavoltage imaging quality for TomoTherapy using a novel reconstruction technique based on tensor framelet, with either full-view or partial-view data.
The reconstruction problem is formulated as a least-square L1-type optimization problem, with the tensor framelet for the image regularization, which is a generalization of L1, total variation, and wavelet. The high-order derivatives of the image are simultaneously regularized in L1 norm at multilevel along the x, y, and z directions. This convex formulation is efficiently solved using the Split Bregman method. In addition, a GPU-based parallel algorithm was developed to accelerate image reconstruction. The new method was compared with the filtered backprojection and the total variation based method in both phantom and patient studies with full or partial projection views.
The tensor framelet based method improved the image quality from the filtered backprojection and the total variation based method. The new method was robust when only 25% of the projection views were used. It required ∼2 min for the GPU-based solver to reconstruct a 40-slice 1 mm-resolution 350×350 3D image with 200 projection views per slice and 528 detection pixels per view.
The authors have developed a GPU-based tensor framelet reconstruction method with improved image quality for the megavoltage CT imaging on TomoTherapy with full or undersampled projection views. In particular, the phantom and patient studies suggest that the imaging quality enhancement via tensor framelet method is prominent for the low-dose imaging on TomoTherapy with up to a 75% projection view reduction.
本研究旨在探讨基于张量框架的新型重建技术是否可以提高 TomoTherapy 的兆伏级成像质量,该技术既可以使用全视野数据,也可以使用部分视野数据。
将重建问题表述为基于张量框架的最小二乘 L1 型优化问题,该框架用于图像正则化,它是 L1、全变差和小波的推广。在 x、y 和 z 方向上的多级同时以 L1 范数正则化图像的高阶导数。该凸优化问题使用分裂布格曼(Split Bregman)方法有效地求解。此外,还开发了基于 GPU 的并行算法来加速图像重建。在具有全视野或部分投影视野的体模和患者研究中,将新方法与滤波反投影和全变差方法进行了比较。
基于张量框架的方法改善了滤波反投影和全变差方法的图像质量。当仅使用 25%的投影视野时,新方法仍然稳健。基于 GPU 的求解器重建一个具有 40 个切片、1mm 分辨率、350×350 3D 图像,每个切片有 200 个投影视野,每个视野有 528 个检测像素,需要约 2 分钟。
作者开发了一种基于 GPU 的张量框架重建方法,可改善 TomoTherapy 兆伏级 CT 成像的图像质量,适用于全视野或欠采样投影视野。特别是,体模和患者研究表明,通过张量框架方法进行的图像质量增强对于 TomoTherapy 的低剂量成像非常显著,最大可减少 75%的投影视野。