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Few‐view image reconstruction combining total variation and a high‐order norm
Authors:Yi Zhang  Wei‐Hua Zhang  Hu Chen  Meng‐Long Yang  Tai‐Yong Li  Ji‐Liu Zhou
Affiliation:1. College of Computer Science, Sichuan University, , Chengdu, China;2. The School of Aerospace Science and Engineering, Sichuan University, , Chengdu, China;3. School of Economic Information Engineering, Southwestern University of Finance and Economics, , Chengdu, China
Abstract:This work presents a novel computed tomography reconstruction method for few‐view problem based on a compound method. To overcome the disadvantages of total variation (TV) minimization method, we use a high‐order norm coupled within TV and the numerical scheme for our method is given. We use the root mean square error as a referee. The numerical experiments demonstrate that our method achieves better performance than existing reconstruction methods, including filtered back projection, expectation maximization, and TV with projection on convex sets. © 2013 Wiley Periodicals, Inc. Int J Imaging Syst Technol, 23, 249–255, 2013
Keywords:x‐ray computed tomography  few‐view  total variation  image reconstruction
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