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

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

作　　者：TANG Shaojie TONG Kuan DUAN Jiayu LI Yang XU Qiong WU Junfeng QIAO Zhiwei CHEN Cheng CONG Zhoujian WANG Linghang MoU Xuanqin 汤少杰;牟轩沁

机构地区：[1]School of Automation,Xi'an University of Posts and Telecommunications,Xi'an,Shaanxi 710121,China [2]School of Electronics and Information Engineering,Xi'an Jiaotong University,Xi'an,Shaanxi 710049,China [3]Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100049,China [4]School of Science,Xi'an University of Technology,Xi'an,Shaanxi 710048,China [5]School of Computer and Information Technology,Shanxi University,Taiyuan,Shanxi 030006,China [6]School of Science,Xi'an University of Posts and Telecommunications,Xi'an,Shaanxi 710121,China [7]ImageSource Intelligent Manufacturing SuZhou Co.,Ltd,Suzhou,Jiangsu 215200,China [8]YOFO Medical Technology Co.,Ltd,Hefei,Anhui 230088,China

出　　处：《中国体视学与图像分析》2024年第4期311-319,共9页Chinese Journal of Stereology and Image Analysis

基　　金：supported in partby Shaanxi Provincial Natural Science Foundation of China(No.2023-JC-YB-521);by National Natural Science Foundation of China(NSFC)(No.12475313);Excellent Youth Fund of Shandong Natural Science Foundation(ZR2024YQ066);by Xi'an Science and Technology Program of China(No.23GXFW0065).

摘　　要：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.

关 键 词：computed tomography consistency condition radon transform Lie transformation group 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]