General approach to error prediction in point registration

Andrei Danilchenko; J. Michael Fitzpatrick

doi:10.1117/12.843847

23 February 2010 General approach to error prediction in point registration

Andrei Danilchenko, J. Michael Fitzpatrick

Proceedings Volume 7625, Medical Imaging 2010: Visualization, Image-Guided Procedures, and Modeling; 76250F (2010) https://doi.org/10.1117/12.843847
Event: SPIE Medical Imaging, 2010, San Diego, California, United States

Abstract

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.

Citation Download Citation

Andrei Danilchenko and J. Michael Fitzpatrick "General approach to error prediction in point registration", Proc. SPIE 7625, Medical Imaging 2010: Visualization, Image-Guided Procedures, and Modeling, 76250F (23 February 2010); https://doi.org/10.1117/12.843847

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