Fast 3-D motion correction using the characteristics of motion in rigid body

The proposed method introduced in this study is to achieve fast the motion correction that the computation costs of the process had been a burden of implementation of motion compensation. With pre-determinable ranges of rotation angles of φ and θ, and the motion transformation matrix that can be calculated at preprocessing stage before executing image reconstruction algorithm, motion correction can be performed fast. In addition, with the reduction of the computational cost shown in this study, motion correction is achieved in sinogram domain. This method is also beneficial to use of iterative expectation maximization reconstruction algorithms since a motion corrected sensitivity image can be generated with reduced computations.