Vandenberghe Stefaan, Van Holen Roel, Staelens Steven, Lemahieu Ignace
ELIS Department, MEDISIP, Ghent University, Sint-Pietersnieuwstraat 41 B-9000 Ghent, Belgium.
Phys Med Biol. 2006 Jan 21;51(2):391-405. doi: 10.1088/0031-9155/51/2/014. Epub 2006 Jan 4.
In classical SPECT with parallel hole collimation, the sensitivity is constant over the field of view (FOV). This is no longer the case if a rotating slat collimator with planar photon collection is used: there will be a significant variation of the sensitivity within the FOV. Since not compensating for this inhomogeneous sensitivity distribution would result in non-quantitative images, an accurate knowledge of the sensitivity is mandatory to account for it during reconstruction. On the other hand, the spatial resolution versus distance dependency remains unaltered compared to parallel hole collimation. For deriving the sensitivity, different factors have to be taken into account: a first factor concerns the intrinsic detector properties and will be incorporated into the calculations as a detection efficiency term depending on the incident angle. The calculations are based on a second and more pronounced factor: the collimator and detector geometry. Several assumptions will be made for the calculation of the sensitivity formulae and it will be proven that these calculations deliver a valid prediction of the sensitivity at points far enough from the collimator. To derive a close field model which also accounts for points close to the collimator surface, a modified calculation method is used. After calculating the sensitivity in one plane it is easy to obtain the tomographic sensitivity. This is done by rotating the sensitivity maps for spin and camera rotation. The results derived from the calculations are then compared to simulation results and both show good agreement after including the aforementioned detection efficiency term. The validity of the calculations is also proven by measuring the sensitivity in the FOV of a prototype rotating slat gamma camera. An expression for the resolution of these planar collimation systems is obtained. It is shown that for equal collimator dimensions the same resolution-distance relationship is obtained as for parallel hole collimators. Although, a better spatial resolution can be obtained with our prototype camera due to the smaller pitch of the slats. This can be achieved without a major drop in system sensitivity due to the fact that the slats consist of less collimator material compared to a parallel hole collimator. The accuracy of the calculated resolution is proven by comparison with Monte Carlo simulation and measurement resolution values.
在采用平行孔准直的经典单光子发射计算机断层扫描(SPECT)中,灵敏度在视野(FOV)内是恒定的。如果使用具有平面光子收集功能的旋转板条准直器,情况就不再如此:在视野内灵敏度会有显著变化。由于不补偿这种不均匀的灵敏度分布会导致图像非定量,因此在重建过程中必须准确了解灵敏度以对其进行校正。另一方面,与平行孔准直相比,空间分辨率与距离的依赖性保持不变。为了推导灵敏度,必须考虑不同因素:第一个因素涉及探测器的固有特性,并将作为取决于入射角的探测效率项纳入计算。计算基于第二个更显著的因素:准直器和探测器的几何形状。在计算灵敏度公式时将做出一些假设,并证明这些计算能够对远离准直器的点的灵敏度做出有效的预测。为了推导一个也能考虑靠近准直器表面的点的近场模型,使用了一种改进的计算方法。在计算一个平面内的灵敏度后,很容易获得断层灵敏度。这通过旋转用于旋转和平移相机旋转的灵敏度图来完成。然后将计算得出的结果与模拟结果进行比较,在纳入上述探测效率项后两者显示出良好的一致性。通过测量原型旋转板条伽马相机视野内的灵敏度,也证明了计算的有效性。获得了这些平面准直系统分辨率的表达式。结果表明,对于相同的准直器尺寸,与平行孔准直器具有相同的分辨率 - 距离关系。尽管如此,由于板条的间距较小,我们的原型相机可以获得更好的空间分辨率。由于板条相比平行孔准直器由更少的准直器材料组成,因此可以在不显著降低系统灵敏度的情况下实现这一点。通过与蒙特卡罗模拟和测量分辨率值进行比较,证明了计算分辨率的准确性。