The distribution of target registration error in rigid-body point-based registration
The distribution of target registration error in rigid-body point-based registration
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DOI：
10.1109/42.952729
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发表时间：
2001-09-01
影响因子：
10.6
通讯作者：
West, JB
中科院分区：
文献类型：
--
作者：
Fitzpatrick, JM;West, JB
为神经外科、髋关节外科、脊柱外科和其他相对刚性的解剖方法设计的引导系统可以使用刚体转换来完成图像配准。这些系统通常依赖于基于点的配准来确定转换，许多这样的系统使用附加的基准标记来建立精确的配准基点，这些点是通过一些基准定位过程建立的。准确性对这些系统来说很重要，准确性水平的知识也是如此。基于标记的系统，特别是那些将标记植入骨骼的系统的一个优点是，注册误差仅取决于基准定位，因此在很大程度上与被注册的特定对象无关。因此，它应该是有可能预测基于标记的系统的临床准确性的基础上的实验测量与幽灵或以前的病人。对于大多数配准任务，最重要的误差度量是目标配准误差（target registration error， TRE），即配准后对应点之间的距离，不用于计算配准变换。在本文中，我们推导了一个关于TRE分布的近似；这是对先前工作的扩展，它给出了TRE的期望平方值。我们在任意方向上展示了TRE的平方幅度和TRE分量的平方幅度的分布。数值模拟结果表明，理论结果与模拟结果吻合较好。
Guidance systems designed for neurosurgery, hip surgery, spine surgery and for approaches to other anatomy that is relatively rigid can use rigid-body transformations to accomplish image registration. These systems often rely on point-based registration to determine the transformation and many such systems use attached fiducial markers to establish accurate fiducial points for the registration, the points being established by some fiducial localization process. Accuracy is important to these systems, as is knowledge of the level of that accuracy. An advantage of marker-based systems, particularly those in which the markers are bone-implanted, is that registration error depends only on the fiducial localization and is, thus, to a large extent independent of the particular object being registered. Thus, it should be possible to predict the clinical accuracy of marker-based systems on the basis of experimental measurements made with phantoms or previous patients. For most registration tasks, the most important error measure is target registration error (TRE), which is the distance after registration between corresponding points not used in calculating the registration transform. In this paper, we derive an approximation to the distribution of TRE; this is an extension of previous work that gave the expected squared value of TRE. We show the distribution of the squared magnitude of TRE and that of the component of TRE in an arbitrary direction. Using numerical simulations, we show that our theoretical results are a close match to the simulated ones.