Moghari Mehdi Hedjazi, Abolmaesumi Purang
Department of Electrical and Computer Engineering, Queen's University, Canada.
Med Image Comput Comput Assist Interv. 2006;9(Pt 2):603-11. doi: 10.1007/11866763_74.
Rigid registration of pre-operative surgical plans to intraoperative coordinates of a patient is an important step in computer-assisted orthopaedic surgery. A good measure for registration accuracy is the target registration error (TRE) which is the distance after registration between a pair of corresponding points not used in the registration process. However, TRE is not a deterministic value, since there is always error in the localized features (points) utilized in the registration. In this situation, the distribution of TRE carries more information than TRE by itself. Previously, the distribution of TRE has been estimated with the accuracy of the first-order approximation. In this paper, we analytically approximate the TRE distribution up to at least the second-order accuracy based on the Unscented Kalman Filter algorithm.
将术前手术计划与患者术中坐标进行刚性配准是计算机辅助骨科手术中的重要一步。配准精度的一个良好度量是目标配准误差（TRE），它是在配准过程中未使用的一对对应点配准后的距离。然而，TRE不是一个确定性值，因为在配准中使用的局部特征（点）总是存在误差。在这种情况下，TRE的分布比TRE本身携带更多信息。以前，TRE的分布是用一阶近似精度来估计的。在本文中，我们基于无迹卡尔曼滤波算法对TRE分布进行解析近似，精度至少达到二阶。
