A method for determining tracking control parameters for positioning an x-ray beam of a computed tomography imaging system, the imaging system including a movable collimator positionable in steps and a detector array including a plurality of detector elements arranged in rows and channels, the rows extending from a detector A-side to a detector B-side. The method includes determining a detector A-side and a detector B-side target beam penumbra position, computing a plurality of Z-ratio curves corresponding to different detector rows and detector channels, and comparing the Z-ratio curves at the detector A-side and detector B-side target beam positions to determine the optimal Z-ratio curve and corresponding detector channels and rows for controlling the X-ray beam positioning.