  We introduce a new CT image reconstruction algorithm that is less affected by
various artifacts. The new reconstruction algorithm is a method of minimizing
the difference between synchrotron X-ray tomography data and sinograms
generated using Radon transform of CT images. The CT image is iteratively
updated to reduce the difference from the sinogram of the data. This method can
obtain clean CT images from the projection data, which can create ring
artifacts or metal artifacts. Also, even if the sample size is larger than the
CCD and/or the projection image does not satisfy the Beer-Lambert law, a clean
CT image can be reconstructed. Our new reconstruction algorithm can also be
applied to fan beam CT or cone beam CT
