We introduce a general iterative scheme for angle-limited image reconstruction based on Landwebet＇s method. We derive a representation formula for this scheme and consequently establish its convergence conditions. Ou...We introduce a general iterative scheme for angle-limited image reconstruction based on Landwebet＇s method. We derive a representation formula for this scheme and consequently establish its convergence conditions. Our results suggest certain relaxation strategies for an accelerated convergence for angle-limited image reconstruction in L^2-norm comparing with alternative projection methods. The convolution-backprojection algorithm is given for this iterative process.展开更多
We establish an improved GP iterative algorithm for the extrapolation of band-limited function to fully 3-dimensional image reconstruction by the convolution-backprojection algorithm. Numerical experiments demonstrate...We establish an improved GP iterative algorithm for the extrapolation of band-limited function to fully 3-dimensional image reconstruction by the convolution-backprojection algorithm. Numerical experiments demonstrate that the image resolving power of IGP algorithm is better than that of the original GP algorithm for noisy data.展开更多
基金Supported by the National Natural Science Foundation of China(No.60772041,60325101,60272018,60628102)the National Key Basic Research Special Foundation(2003CB716101),Ministry of Education(306017)Engineering Research Institute of Peking University,and Microsoft Research Asia.
文摘We introduce a general iterative scheme for angle-limited image reconstruction based on Landwebet＇s method. We derive a representation formula for this scheme and consequently establish its convergence conditions. Our results suggest certain relaxation strategies for an accelerated convergence for angle-limited image reconstruction in L^2-norm comparing with alternative projection methods. The convolution-backprojection algorithm is given for this iterative process.
基金G.R. Qu is partially supported by the National Natural Science Foundation of China (No. 60372015, 60772041) the Science Foundation of Beijing Jiaotong University (2002SM54)+2 种基金M. Jiang is partially supported by the National Key Basic Research Special Foundation of China (2003CB716101) National Science Foundation of China (60325101, 60272018, 60628102) Ministry of Education (306017), Engineering Research Institute of Peking University, and Microsoft Research Asia.
文摘We establish an improved GP iterative algorithm for the extrapolation of band-limited function to fully 3-dimensional image reconstruction by the convolution-backprojection algorithm. Numerical experiments demonstrate that the image resolving power of IGP algorithm is better than that of the original GP algorithm for noisy data.
