RESEARCH ANNOUNCEMENTS Necessary and Sufficient Convergence Conditions for Algebraic Image Reconstruction Algorithms  

作　　者：渠刚荣 王彩芳 姜明 

机构地区：[1]School of Science,Beijing Jiaotong University,Beijing 100044,P.R.China [2]LMAM,School of Mathematical Science,Peking University,Beijing,100871,P.R.China

出　　处：《数学进展》2007年第3期379-381,共3页Advances in Mathematics（China）

基　　金：Gangrong Qu is Supported by the NSFC(No.60372015);the Science Foundation of Bei- jing Jiaotong University(No.2002SM54;Wang Caifang and Jiang Ming is supported in part by the Chinese NKBRSF(No.2003CB716101); NSFC(No.60325101,No.60532080,No.60628102);Ministry of Educa- tion(No.306017);Engineering Research Institute of Peking University,Microsoft Research Asia.

摘　　要：Many imaging systems can be modeled by the following linear system of equations Ax=b,(1) where the observed data is b=(b^1...b^M)~T∈K^M and the image is x=(x_1…x_N)~T∈K^N.The number field K can be the reals R or the complexes C.The system matrix A=(A_(i,j)) is nonzero and of the dimension M×N matrix.The image reconstruction problem is to reconstructMany imaging systems can be modeled by the following linear system of equations Ax = b, （1） where the observed data is b = （b^1…b^M）^T∈K^M and the image is x = （x1…xN）^T∈K^N.

关 键 词：成像系统 充分必要条件 聚焦校正条件 图像再现 算法 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]