P. Rizo et al., GEOMETRIC CALIBRATION METHOD FOR MULTIPLE-HEAD CONE-BEAM SPECT SYSTEM, IEEE transactions on nuclear science, 41(6), 1994, pp. 2748-2757
A method is presented for estimating the geometrical parameters of con
e beam systems with multiple heads, each head having its own orientati
on, In tomography, for each head, the relative position of the rotatio
n axis and of the collimator do not change during the data acquisition
. We thus can separate the parameters into intrinsic parameters and ex
trinsic parameters. The intrinsic parameters describe the detection sy
stem geometry and the extrinsic parameters the position of the detecti
on system with respect to the rotation axis. Intrinsic parameters are
measured directly, once for each collimator. Extrinsic parameters must
be estimated each time the acquisition geometry is modified. Extrinsi
c parameters are estimated by minimizing the distances between the mea
sured position of a point source projection and the computed position
obtained using the estimated extrinsic parameters. The main advantage
of this method is that the extrinsic parameters are only weakly correl
ated when the intrinsic parameters are known. Thus we can use any simp
le least square error minimization method to perform the estimation of
the extrinsic parameters. Giving a fixed value to the distance betwee
n the point source and the rotation axis in the estimation process, en
sures the coherence of the extrinsic parameters between each head. We
show that with this calibration method, the full width at half maximum
measured with point sources is very close to the theoretical one, and
remains almost unchanged when more than one head is used. Simulation
results and reconstructions on a Jaszczak phantom are presented that s
how the capabilities of this method.