Department of Radiology, University of Massachusetts Medical School, Worcester, Massachusetts, USA.
Med Phys. 2022 Jan;49(1):282-294. doi: 10.1002/mp.15391. Epub 2021 Dec 13.
The aim of this work was to revisit the data-driven approach of axial center-of-mass (COM) measurements to recover a surrogate respiratory signal from finely sampled (100 ms) single photon emission computed tomography (SPECT) projection data derived from list-mode acquisitions.
For our initial evaluation, we acquired list-mode projection data from an anthropomorphic cardiac phantom mounted on a Quasar respiratory motion platform simulating 15 mm amplitude respiratory motion. We also selected 302 consecutive patients (138 males, 164 females) with list-mode acquisitions, external respiratory motion tracking, and written consent to evaluate the clinical efficacy of our data-driven approach. Linear regression, Pearson's correlation coefficient (r), and standard error of the estimates (SEE) between the respiratory signals obtained with a visual tracking system (VTS) and COM measurements were calculated for individual projection data sets and for the patient group as a whole. Both the VTS- and COM-derived respiratory signals were used to estimate and correct respiratory motion. The reconstruction for six-degree of freedom rigid-body motion estimation was done in two ways: (1) using three iterations of ordered-subsets expectation-maximization (OSEM) with four subsets (16 projection angles per subset), or 12 iterations of maximum-likelihood expectation-maximization (MLEM). Respiratory motion compensation was done employing either OSEM with 16 subsets (four projection angles per subset) and five iterations or MLEM and 80 iterations, using the two respiratory estimates, respectively. Polar map quantification was also performed, calculating the percentage count difference (%Diff) between polar maps without and with respiratory motion included. Average % Diff was calculated in 17 segments (defined according to ASNC Guidelines). Paired t-tests were used to determine significance (p-values).
The r-value calculated when comparing the VTS and COM respiratory signals varied widely between -0.01 and 0.96 with an average of 0.70, while the SEE varied between 0.80 and 6.48 mm with an average of 2.05 mm for our patient set, while the same values for the one anthropomorphic phantom acquisition are 0.91 and 1.11 mm, respectively. A comparison between the respiratory motion estimates for VTS and COM in the S-I direction yielded an r = 0.90 (0.94), and an SEE of 1.56 mm (1.20 mm) for OSEM (MLEM), respectively. Bland-Altman plots and calculated intraclass correlation coefficients also showed excellent agreement between the VTS and COM respiratory motion estimates. Average S-I respiratory estimates for the VTS (COM) were 9.04 (9.2 mm) and 9.01 mm (9.14 mm) for the OSEM and MLEM, respectively. The paired t-test approached significance when comparing VTS and COM estimated respiratory signals with p-values of 0.069 and 0.051 for OSEM and MLEM. The respiratory estimates from the anthropomorphic cardiac phantom experiment using the VTS (COM) were 12.62 (14.10 mm) and 12.55 mm (14.29 mm) for OSEM and MLEM, respectively. Polar map quantification yielded average % Diff consistently better when employing VTS-derived respiratory estimates to correct for respiration compared to the COM-derived estimates.
The results indicate that our COM method has the potential to provide an automated data-driven correction of cardiac respiratory motion without the drawbacks of our VTS methodology. However, it is not generally equivalent to the VTS method in extent of correction.
本研究旨在重新探讨基于数据驱动的轴向质心(COM)测量方法,以从源自列表模式采集的精细采样(100ms)单光子发射计算机断层扫描(SPECT)投影数据中恢复替代呼吸信号。
对于我们的初始评估,我们从安装在模拟 15mm 幅度呼吸运动的 Quasar 呼吸运动平台上的人体心脏模拟体上采集了列表模式投影数据。我们还选择了 302 名连续的患者(138 名男性,164 名女性),这些患者进行了列表模式采集、外部呼吸运动跟踪和书面同意,以评估我们的数据驱动方法的临床疗效。对于个别投影数据集和患者组整体,计算了从视觉跟踪系统(VTS)获得的呼吸信号与 COM 测量之间的线性回归、Pearson 相关系数(r)和估计的标准误差(SEE)。使用 VTS 和 COM 衍生的呼吸信号分别估计和校正呼吸运动。使用两种方法进行六自由度刚体运动估计的重建:(1)使用四个子集(每个子集 16 个投影角)的三次有序子集期望最大化(OSEM)迭代,或使用最大似然期望最大化(MLEM)的 12 次迭代。使用 OSEM 的 16 个子集(每个子集 4 个投影角)和 5 次迭代,或使用 MLEM 和 80 次迭代,分别使用两种呼吸估计值进行呼吸运动补偿。还进行了极地图量化,计算了包含和不包含呼吸运动的极地图之间的百分比计数差异(%Diff)。根据 ASNC 指南,在 17 个段中计算平均 %Diff。使用配对 t 检验确定显著性(p 值)。
在比较 VTS 和 COM 呼吸信号时计算的 r 值变化范围从-0.01 到 0.96,平均值为 0.70,而 SEE 变化范围从 0.80 到 6.48mm,平均值为 2.05mm,对于我们的患者组,而相同的数值对于一个人体心脏采集分别为 0.91 和 1.11mm。S-I 方向的 VTS 和 COM 呼吸运动估计之间的比较产生 r=0.90(0.94),并且对于 OSEM(MLEM),SEE 分别为 1.56mm(1.20mm)。Bland-Altman 图和计算的组内相关系数也显示了 VTS 和 COM 呼吸运动估计之间的极好一致性。VTS(COM)的平均 S-I 呼吸估计值分别为 9.04(9.2mm)和 9.01mm(9.14mm),用于 OSEM 和 MLEM。当比较 OSEM 和 MLEM 的 VTS 和 COM 估计呼吸信号时,配对 t 检验接近显著性,p 值分别为 0.069 和 0.051。使用 VTS(COM)的人体心脏模拟实验的呼吸估计值分别为 12.62(14.10mm)和 12.55mm(14.29mm),用于 OSEM 和 MLEM。极地图量化表明,当使用 VTS 衍生的呼吸估计值校正呼吸时,平均 %Diff 始终更好,而不是使用 COM 衍生的估计值。
结果表明,我们的 COM 方法有可能提供一种自动的数据驱动的心脏呼吸运动校正方法,而没有我们的 VTS 方法的缺点。然而,它在校正程度上并不普遍等同于 VTS 方法。