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| A Method of Symmetric Block-Iterative for Image Reconstruction |
| Qiu Jun①②; Xu Mao-lin① |
| Research Division of Applied Mathematics, Beijing Information Technology Institute, Beijing 100101, China; Department of Mathematics, Graduate School of Chinese Academy of Sciences, Beijing 100039, China |
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Abstract With a method of series expansion for image reconstruction, there exists great difficulties in terms of slow reconstruction due to bulk data to deal with. This paper presents the symmetric structure of projection lines for image reconstruction and provides a simplified algorithm for the coefficients of projection matrix via this symmetric structure, thereby an ad hoc method of fast Symmetric Block-Iterative Reconstruction Technique (SB-IRT) is introduced to solve the image reconstruction problem. The experimental image reconstruction utilizing the symmetric block-iterative algorithm with both simulated and experimental projection data is undertaken. In comparison with the performance of other conventional algorithms, the results show that the image reconstruction using the presented algorithm is much faster, and the reconstruction images has much better precision than the others.
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Received: 15 September 2006
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2007, Vol. 29 
