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另一种基于弦的锥束CT图像重建的推导方法
Recently, we have developed a new formula for cone-beam CT image reconstruction. From the formula, we have also derived three algorithms. Two of the algorithms, which are referred to as the back-projection filtration (BPF) and minimum-data filtered backprojection (MD-FBP) algorithms, can provide volume images from projection data with a minimal scanning arc and minimal irradiation per view angle. The fact that these reconstruction algorithms allow for minimum irradiation per view is unique to the BPF and MD-FBP algorithms. This article explores the mathematical relationship between the projection data and an intermediate back-projection image necessary for obtaining the actual volume image. An alternative proof of the formula and the BPF algorithm are also provided.
