Department of Biomedical Engineering, Marquette University and Medical College of Wisconsin, Milwaukee, Wisconsin, USA.
Department of Radiology, University of Chicago, Chicago, Illinois, USA.
Med Phys. 2023 Oct;50(10):6008-6021. doi: 10.1002/mp.16649. Epub 2023 Jul 31.
Spectral CT material decomposition provides quantitative information but is challenged by the instability of the inversion into basis materials. We have previously proposed the constrained One-Step Spectral CT Image Reconstruction (cOSSCIR) algorithm to stabilize the material decomposition inversion by directly estimating basis material images from spectral CT data. cOSSCIR was previously investigated on phantom data.
This study investigates the performance of cOSSCIR using head CT datasets acquired on a clinical photon-counting CT (PCCT) prototype. This is the first investigation of cOSSCIR for large-scale, anatomically complex, clinical PCCT data. The cOSSCIR decomposition is preceded by a spectrum estimation and nonlinear counts correction calibration step to address nonideal detector effects.
Head CT data were acquired on an early prototype clinical PCCT system using an edge-on silicon detector with eight energy bins. Calibration data of a step wedge phantom were also acquired and used to train a spectral model to account for the source spectrum and detector spectral response, and also to train a nonlinear counts correction model to account for pulse pileup effects. The cOSSCIR algorithm optimized the bone and adipose basis images directly from the photon counts data, while placing a grouped total variation (TV) constraint on the basis images. For comparison, basis images were also reconstructed by a two-step projection-domain approach of Maximum Likelihood Estimation (MLE) for decomposing basis sinograms, followed by filtered backprojection (MLE + FBP) or a TV minimization algorithm (MLE + TV ) to reconstruct basis images. We hypothesize that the cOSSCIR approach will provide a more stable inversion into basis images compared to two-step approaches. To investigate this hypothesis, the noise standard deviation in bone and soft-tissue regions of interest (ROIs) in the reconstructed images were compared between cOSSCIR and the two-step methods for a range of regularization constraint settings.
cOSSCIR reduced the noise standard deviation in the basis images by a factor of two to six compared to that of MLE + TV , when both algorithms were constrained to produce images with the same TV. The cOSSCIR images demonstrated qualitatively improved spatial resolution and depiction of fine anatomical detail. The MLE + TV algorithm resulted in lower noise standard deviation than cOSSCIR for the virtual monoenergetic images (VMIs) at higher energy levels and constraint settings, while the cOSSCIR VMIs resulted in lower noise standard deviation at lower energy levels and overall higher qualitative spatial resolution. There were no statistically significant differences in the mean values within the bone region of images reconstructed by the studied algorithms. There were statistically significant differences in the mean values within the soft-tissue region of the reconstructed images, with cOSSCIR producing mean values closer to the expected values.
The cOSSCIR algorithm, combined with our previously proposed spectral model estimation and nonlinear counts correction method, successfully estimated bone and adipose basis images from high resolution, large-scale patient data from a clinical PCCT prototype. The cOSSCIR basis images were able to depict fine anatomical details with a factor of two to six reduction in noise standard deviation compared to that of the MLE + TV two-step approach.
光谱 CT 物质分解提供定量信息,但由于反演到基础物质的不稳定性而受到挑战。我们之前提出了约束一步光谱 CT 图像重建(cOSSCIR)算法,通过直接从光谱 CT 数据估计基础物质图像来稳定物质分解反演。cOSSCIR 之前已经在体模数据上进行了研究。
本研究使用在临床光子计数 CT(PCCT)原型上采集的头部 CT 数据集来评估 cOSSCIR 的性能。这是首次对 cOSSCIR 进行大规模、解剖复杂的临床 PCCT 数据进行研究。cOSSCIR 分解之前需要进行光谱估计和非线性计数校正校准步骤,以解决非理想探测器的影响。
使用具有八个能量-bin 的边缘硅探测器在早期原型临床 PCCT 系统上采集头部 CT 数据。还采集了阶跃楔形体模的校准数据,并用于训练光谱模型以解释源光谱和探测器光谱响应,还用于训练非线性计数校正模型以解释脉冲堆积效应。cOSSCIR 算法通过光子计数数据直接优化骨和脂肪基础图像,同时对基础图像施加分组总变分(TV)约束。为了进行比较,还通过最大似然估计(MLE)的两步投影域方法来重建基础图像,对基础正弦图进行分解,然后进行滤波反投影(MLE + FBP)或 TV 最小化算法(MLE + TV)来重建基础图像。我们假设 cOSSCIR 方法与两步方法相比,将提供更稳定的基础图像反演。为了验证这一假设,在一系列正则化约束设置下,比较了 cOSSCIR 和两步方法在骨和软组织感兴趣区域(ROI)的重建图像中骨和软组织 ROI 的噪声标准差。
与 MLE + TV 相比,当两种算法都被约束为生成具有相同 TV 的图像时,cOSSCIR 将基础图像中的噪声标准差降低了两倍至六倍。cOSSCIR 图像在显示精细解剖细节方面表现出定性的空间分辨率提高。在更高能量水平和约束设置下,MLE + TV 算法产生的虚拟单能量图像(VMIs)的噪声标准偏差低于 cOSSCIR,而 cOSSCIR 的 VMIs 在较低能量水平下产生的噪声标准偏差较低,整体空间分辨率较高。用所研究的算法重建的图像中骨区域的平均值没有统计学上的显著差异。在重建图像的软组织区域中,平均值有统计学意义上的差异,cOSSCIR 产生的平均值更接近预期值。
cOSSCIR 算法与我们之前提出的光谱模型估计和非线性计数校正方法相结合,成功地从临床 PCCT 原型的高分辨率、大规模患者数据中估计了骨和脂肪基础图像。与 MLE + TV 两步方法相比,cOSSCIR 基础图像能够以降低 2 到 6 倍的噪声标准差来描绘精细的解剖细节。