Landweber iterative methods for angle-limited image reconstruction

We introduce a general iterative scheme for angle-limited image reconstruction based on Landweber’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. 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.