You're not fired
yet, Ziad. It is indeed possible that you (Brianna) are getting significant ringing (DFT) artifacts from the Fourier method, especially if the image FOV is nearly tight around the head (so that wraparound might occur).
In addition to viewing the images in movie form (e.g., by holding down an arrow on the "Time Index" control), you could also compute the mean volume (used 3dTstat) and then subtract it from the registered time series (using 3dcalc). The difference images in the two cases (Fourier and heptic) would show where the two results differ. 3dTstat could also be used to compute the standard deviation of the registered results, and again see where they differ.
bob cox