During a CT scan, patients' conscious or unconscious motions would result in motion artifacts which undermine the
image quality and hamper doctors' accurate diagnosis and therapy. It is desirable to develop a precise motion estimation
and artifact reduction method in order to produce high-resolution images. Rigid motion can be decomposed into two
components: translational motion and rotational motion. Since considering the rotation and translation simultaneously is
very difficult, most former studies on motion artifact reduction ignore rotation. The extended HLCC based method
considering the rotation and translation simultaneously relies on a searching algorithm which leads to expensive
computing cost. Therefore, a novel method which does not rely on searching is desirable. In this paper, we focus on
parallel-beam CT. We first propose a frequency domain based method to estimate rotational motion, which is not
affected by translational motion. It realizes the separation of rotation estimation and translation estimation. Then we
combine this method with the HLCC based method to construct a new method for general rigid motion called separative
estimation and collective correction method. Furthermore, we present numerical simulation results to show the accuracy
and robustness of our approach.
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