Extension of target registration error theory to the composition of transforms

Jay B. West; Calvin R. Maurer Jr.

doi:10.1117/12.467200

9 May 2002 Extension of target registration error theory to the composition of transforms

Jay B. West, Calvin R. Maurer Jr.

Proceedings Volume 4684, Medical Imaging 2002: Image Processing; (2002) https://doi.org/10.1117/12.467200
Event: Medical Imaging 2002, 2002, San Diego, California, United States

Abstract

This paper is an extension of work first published by Fitzpatrick et al. in 1998, and concerns accuracy prediction in point-based image registration. Fitzpatrick et al. derived a formula to predict target registration error (TRE), i.e the error introduced in identifying a target point because of the inherent errors in locating the point used to calculate the registration transform. In this work, we extend Fitzpatrick's derivation to the case in which an optically tracked probe has its position measured relative to a coordinate reference frame (CRF), which is an optically tracked device that is rigidly affixed to the patient. In this case, the registration transformation is actually a composition of two transforms. Our derivation shows that the existing TRE theory may be applied independently to the two transforms that compose the registration, and the resulting values add in quadrature to give the overall TRE. We have confirmed this result using statistical numerical simulations. This derivation has important implications for designing optically tracked instruments for image-guided surgery. Probes and CRFs may be designed separately so that each has maximal accuracy, and the configuration of the two instruments will remain optimal when they are used in conjunction.

Citation Download Citation

Jay B. West and Calvin R. Maurer Jr. "Extension of target registration error theory to the composition of transforms", Proc. SPIE 4684, Medical Imaging 2002: Image Processing, (9 May 2002); https://doi.org/10.1117/12.467200

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