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Finally, the analytical model is verified by finite element analysis (FEA) and experiments, and the errors caused by parasitic motion are corrected for this analytical model.
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Axial sample motion was corrected using the two-step correction algorithm from our previous study [ 22].
Inter-frame motion was corrected for by frame-by-frame registration (after selecting a reference frame and ignoring early frames with low uptake).
Assuming the RCM caused by angular motion is corrected, we have s f r, t ≈ ∬ x, y ∈ L A x, y ⋅ exp − j 4 π x ω eff t − y c f r + f c ⋅ exp − j 2 π 2 R t c f r + f c dxdy (8).
Residual head motion was corrected via SPM5 realignment.
Preprocessing: Functional data were slice-time corrected, motion parameters were estimated, and motion was corrected relative to the first volume of the run.
Residual effects of head motion were corrected for by including the six estimated motion parameters for each subject as regressors of no interest.
Head motion was corrected in real-time using Turbo-BrainVoyager.
The effect of head motion was corrected by realigning all scans to the first scan.
Local beam-induced motion was corrected for each particle with the program alignparts_lmbfgs (Rubinstein and Brubaker, 2015).
Residual effects of head motion were corrected for by including the six estimated motion parameters for each participant as regressors of no interest.
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