Re-deriving data consistency condition in radon domain from perspective of Lie transformation group

In this paper，a data consistency condition (DCC) in Radon domain is re-derived from the perspective of Lie transformation group and compared with other two derivations.By carefully observing the proof procedure on the basis of Lie transformation group，we may have a deeper insight on the essence of this DCC.Moreover，it may help determine whether there are the corresponding counterparts in both image and Radon domains.Following this line of thought，more data consistency conditions will possibly be explored in the future.This is definitely critical as data consistency conditions would be applied to the construction of algorithms for next-generation CT imaging.