Recently

Katsevich proposed an exact FBP algorithm and its improved version for image reconstruction in helical cone beam CT. In this paper

we present a new FBP image reconstruction algorithm based on the Katsevich’s original algorithm paradigm. This proposed algorithm can achieve good image quality improvement and fewer artifacts since it successfully avoids the direct derivatives with respect to rotation angle

The new algorithm still performs a 1D shift invariant filtering of the modified data on the detector plane and the redundancy weight is applied after filtering

allowing a more efficient numerical implementation. Results in these studies confirm the observation that the proposed algorithm can improve the image resolution over Katsevich’s original algorithm with noiseless and noise projection data.