Hofmann Christian, Sawall Stefan, Knaup Michael, Kachelrieß Marc
Institute of Medical Physics, Friedrich-Alexander University (FAU), Erlangen 91052, Germany.
Medical Physics in Radiology, German Cancer Research Center (DKFZ), Heidelberg 69120, Germany.
Med Phys. 2014 Jun;41(6):061914. doi: 10.1118/1.4875975.
Iterative image reconstruction gains more and more interest in clinical routine, as it promises to reduce image noise (and thereby patient dose), to reduce artifacts, or to improve spatial resolution. Among vendors and researchers, however, there is no consensus of how to best achieve these aims. The general approach is to incorporate a priori knowledge into iterative image reconstruction, for example, by adding additional constraints to the cost function, which penalize variations between neighboring voxels. However, this approach to regularization in general poses a resolution noise trade-off because the stronger the regularization, and thus the noise reduction, the stronger the loss of spatial resolution and thus loss of anatomical detail. The authors propose a method which tries to improve this trade-off. The proposed reconstruction algorithm is called alpha image reconstruction (AIR). One starts with generating basis images, which emphasize certain desired image properties, like high resolution or low noise. The AIR algorithm reconstructs voxel-specific weighting coefficients that are applied to combine the basis images. By combining the desired properties of each basis image, one can generate an image with lower noise and maintained high contrast resolution thus improving the resolution noise trade-off.
All simulations and reconstructions are performed in native fan-beam geometry. A water phantom with resolution bar patterns and low contrast disks is simulated. A filtered backprojection (FBP) reconstruction with a Ram-Lak kernel is used as a reference reconstruction. The results of AIR are compared against the FBP results and against a penalized weighted least squares reconstruction which uses total variation as regularization. The simulations are based on the geometry of the Siemens Somatom Definition Flash scanner. To quantitatively assess image quality, the authors analyze line profiles through resolution patterns to define a contrast factor for contrast-resolution plots. Furthermore, the authors calculate the contrast-to-noise ratio with the low contrast disks and the authors compare the agreement of the reconstructions with the ground truth by calculating the normalized cross-correlation and the root-mean-square deviation. To evaluate the clinical performance of the proposed method, the authors reconstruct patient data acquired with a Somatom Definition Flash dual source CT scanner (Siemens Healthcare, Forchheim, Germany).
The results of the simulation study show that among the compared algorithms AIR achieves the highest resolution and the highest agreement with the ground truth. Compared to the reference FBP reconstruction AIR is able to reduce the relative pixel noise by up to 50% and at the same time achieve a higher resolution by maintaining the edge information from the basis images. These results can be confirmed with the patient data.
To evaluate the AIR algorithm simulated and measured patient data of a state-of-the-art clinical CT system were processed. It is shown, that generating CT images through the reconstruction of weighting coefficients has the potential to improve the resolution noise trade-off and thus to improve the dose usage in clinical CT.
迭代图像重建在临床常规中越来越受到关注,因为它有望降低图像噪声(从而减少患者剂量)、减少伪影或提高空间分辨率。然而,在设备供应商和研究人员之间,对于如何最好地实现这些目标尚无共识。一般方法是将先验知识纳入迭代图像重建,例如,通过向代价函数添加额外约束,对相邻体素之间的差异进行惩罚。然而,这种正则化方法通常会带来分辨率与噪声的权衡,因为正则化越强,即噪声降低越多,空间分辨率的损失就越大,从而解剖细节丢失也越多。作者提出了一种试图改善这种权衡的方法。所提出的重建算法称为α图像重建(AIR)。首先生成基础图像,这些图像强调某些所需的图像属性,如高分辨率或低噪声。AIR算法重建体素特定的加权系数,用于组合基础图像。通过组合每个基础图像的所需属性,可以生成噪声更低且保持高对比度分辨率的图像,从而改善分辨率与噪声的权衡。
所有模拟和重建均在原始扇束几何结构中进行。模拟了一个带有分辨率条图案和低对比度圆盘的水模体。使用带有Ram-Lak核的滤波反投影(FBP)重建作为参考重建。将AIR的结果与FBP结果以及使用总变差作为正则化的惩罚加权最小二乘重建结果进行比较。模拟基于西门子Somatom Definition Flash扫描仪的几何结构。为了定量评估图像质量,作者通过分辨率图案分析线轮廓以定义对比度分辨率图的对比度因子。此外,作者计算低对比度圆盘的对比度噪声比,并通过计算归一化互相关和均方根偏差来比较重建结果与真实情况的一致性。为了评估所提出方法的临床性能,作者重建了使用Somatom Definition Flash双源CT扫描仪(德国福希海姆西门子医疗公司)采集的患者数据。
模拟研究结果表明,在所比较的算法中,AIR实现了最高分辨率以及与真实情况的最高一致性。与参考FBP重建相比,AIR能够将相对像素噪声降低多达50%,同时通过保留基础图像的边缘信息实现更高的分辨率。这些结果可以通过患者数据得到证实。
为了评估AIR算法,对最先进临床CT系统的模拟和测量患者数据进行了处理。结果表明,通过加权系数重建生成CT图像有潜力改善分辨率与噪声的权衡,从而改善临床CT中的剂量使用。