General approach to error prediction in point registration
General approach to error prediction in point registration
复制标题
点配准中误差预测的一般方法
DOI：
10.1117/12.843847
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
J. Michael Fitzpatrick
中科院分区：
文献类型：
--
作者：
A. Danilchenko;J. Michael Fitzpatrick
一阶分析的点配准问题的方法，并验证。该方法是一个统一的方法的问题，允许非均匀和各向异性的基准定位误差（FLE）和任意加权的配准算法。交叉协方差矩阵推导出目标配准误差（TRE）和加权基准配准误差（FRE）。此外，它示出，对于理想的加权，其中每个基准的加权矩阵等于该基准的两个空间FLE的互协方差的平方根的倒数，FRE和TRE的波动是独立的。这些结果是通过与以前发表的特殊情况下的表达式进行比较，并通过模拟验证，并被证明是正确的。此外，给出了随机生成的基准位置和FLE的模拟，其示出了对于均匀加权（即，也没有权重）。从这些结果中，我们得出结论，基准点的拟合优度的测量，例如，FRE是配准精度的不可靠估计器，即，是的，应该避免。
A method for the first-order analysis of the point registration problem is presented and validated. The method is a unified approach to the problem that allows for inhomogeneous and anisotropic fiducial localization error (FLE) and arbitrary weighting in the registration algorithm. Cross-covariance matrices are derived both for target registration error (TRE) and for weighted fiducial registration error (FRE). Furthermore, it is shown that for ideal weighting, in which the weighting matrix for each fiducial equals the inverse of the square root of the cross covariance of the two-space FLE for that fiducial, fluctuations of FRE and TRE are independent. These results are validated by comparison with previously published expressions for special cases and by simulation and shown to be correct. Furthermore, simulations for randomly generated fiducial positions and FLEs are presented that show that correlation is negligible (correlation coefficient < 0.1) for uniform weighting (i.e., no weighting) as well. From these results we conclude that measures of the goodness of fit of the fiducials, e.g., FRE, are unreliable estimators of registration accuracy, i.e., TRE, and should be avoided.
术中神经导航系统，无需刚性针固定。
DOI：
--
发表时间：
2009
期刊：
No Shinkei Geka 37
影响因子：
--
作者：
Akamatsu Y;Kumabe T;Kanamori M;Nagamatsu K;Saito R;Sonoda Y;Sato K;Tominaga T.
通讯作者：
Tominaga T.