Jm. Fitzpatrick et Jb. West, The distribution of target registration error in rigid-body point-based registration, IEEE MED IM, 20(9), 2001, pp. 917-927
Citations number
28
Categorie Soggetti
Radiology ,Nuclear Medicine & Imaging","Eletrical & Eletronics Engineeing
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 locali
zation process. Accuracy is important to these systems, as is knowledge of
the level of that accuracy. An advantage of marker-based systems, particula
rly those in which the markers are bone-implanted, is that registration err
or depends only on the fiducial localization and is, thus, to a large exten
t independent of the particular object being registered. Thus, it should be
possible to predict the clinical accuracy of marker-based systems on the b
asis of experimental measurements made with phantoms or previous patients.
For most registration tasks, the most important error measure is target reg
istration error (TRE), which is the distance after registration between cor
responding points not used in calculating the registration transform. In th
is 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 comp
onent of TRE in an arbitrary direction. Using numerical simulations, we sho
w that our theoretical results are a close match to the simulated ones.