School of Mathematical Sciences, Capital Normal University, Beijing, China.
Beijing Advanced Innovation Center for Imaging Technology, Capital Normal University, Beijing, China.
Med Phys. 2021 Oct;48(10):6437-6452. doi: 10.1002/mp.15200. Epub 2021 Sep 16.
Dual-energy computed tomography (DECT) scans objects using two different X-ray spectra to acquire more information, which is also called dual spectral CT (DSCT) in some articles. Compared to traditional CT, DECT exhibits superior material distinguishability. Therefore, DECT can be widely used in the medical and industrial domains. However, owing to the nonlinearity and ill condition of DECT, studies are underway on DECT reconstruction to obtain high quality images and achieve fast convergence speed. Therefore, in this study, we propose an iterative reconstruction method based on monochromatic images (IRM-MI) to rapidly obtain high-quality images in DECT reconstruction.
An IRM-MI is proposed for DECT. The proposed method converts DECT reconstruction problem from the basis material images decomposition to monochromatic images decomposition to significantly improve the convergence speed of DECT reconstruction by changing the coefficient matrix of the original equations to increase the angle of the high- and low-energy projection curves or reduce the condition number of the coefficient matrix. The monochromatic images were then decomposed into basis material images. Furthermore, we conducted numerical experiments to evaluate the performance of the proposed method.
The decomposition results of the simulated data and real data experiments confirmed the effectiveness of the proposed method. Compared to the extended algebraic reconstruction technique (E-ART) method, the proposed method exhibited a significant increase in the convergence speed by increasing the angle of polychromatic projection curves or decreasing the condition number of the coefficient matrix, when choosing the appropriate monochromatic images. Therefore, the proposed method is also advantageous in acquiring high quality and rapidly converged images.
We developed an iterative reconstruction method based on monochromatic images for the material decomposition for DECT. The numerical experiments using the proposed method validated its capability of decomposing the basis material images. Furthermore, the proposed method achieved faster convergence speed compared to the E-ART method.
双能计算机断层扫描(DECT)使用两种不同的 X 射线光谱来获取更多信息,在某些文章中也称为双能谱 CT(DSCT)。与传统 CT 相比,DECT 具有更好的物质可分辨性。因此,DECT 可广泛应用于医疗和工业领域。然而,由于 DECT 的非线性和病态性,目前正在研究 DECT 重建以获得高质量图像并实现快速收敛速度。因此,在本研究中,我们提出了一种基于单色图像的迭代重建方法(IRM-MI),以在 DECT 重建中快速获得高质量图像。
提出了一种用于 DECT 的 IRM-MI。该方法将 DECT 重建问题从基物质图像分解转换为单色图像分解,通过改变原始方程的系数矩阵来增加高低能投影曲线的角度或降低系数矩阵的条件数,从而显著提高 DECT 重建的收敛速度。然后,将单色图像分解为基物质图像。此外,我们进行了数值实验来评估所提出方法的性能。
模拟数据和真实数据实验的分解结果证实了所提出方法的有效性。与扩展代数重建技术(E-ART)方法相比,当选择适当的单色图像时,所提出的方法通过增加多色投影曲线的角度或降低系数矩阵的条件数,显著提高了收敛速度。因此,该方法在获取高质量和快速收敛的图像方面也具有优势。
我们开发了一种基于单色图像的迭代重建方法,用于 DECT 的物质分解。使用所提出的方法进行的数值实验验证了其分解基物质图像的能力。此外,与 E-ART 方法相比,所提出的方法实现了更快的收敛速度。