Iterative Convex I-Projection Algorithm for Maximum Entropy Reconstruction

于志伟; 汪元美; 陶波

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Iterative Convex I-Projection Algorithm for Maximum Entropy Reconstruction

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- Iterative Convex I-Projection Algorithm for Maximum Entropy Reconstruction
- Acta Electronica Sinica Issue 4, (1997)
- 作者机构：
  
  1. 浙江大学ＣＡＤ＆ＣＧ国家重点实验室
  2. 浙江电子工业学院计算机科学与技术系
  3. 浙江大学ＣＡＤ＆ＣＧ国家重点实验室浙江电子工业学院计算机科学与技术系
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP391.4
- Published：1997
- 稿件说明：
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[1]于志伟,汪元美,陶波.最大熵重建的迭代凸I投影算法[J].电子学报,1997(04):59-62.

于志伟, 汪元美, 陶波. Iterative Convex I-Projection Algorithm for Maximum Entropy Reconstruction[J]. Acta Electronica Sinica, 1997, (4).
[1]于志伟,汪元美,陶波.最大熵重建的迭代凸I投影算法[J].电子学报,1997(04):59-62. DOI：

于志伟, 汪元美, 陶波. Iterative Convex I-Projection Algorithm for Maximum Entropy Reconstruction[J]. Acta Electronica Sinica, 1997, (4). DOI：

摘要

本文探讨了用迭代凸Ｉ投影（ＩｔｅｒａｔｉｖｅＣｏｎｖｅｘＩ－Ｐｒｏｊｅｃｔｉｏｎ，ＩＣＩＰ）算法求解最大熵Ｘ－ＣＴ重建问题．其思路是将这个复杂问题转化为多个简单子问题，然后迭代地求解这种单约束子问题．理论证明，这种算法收敛并能收敛到问题的最大熵解．这种算法形式优美，仿真结果表明算法同时也是有效的．

Abstract

An Iterative Convex I-Projection(ICIP algorithm is designed to solve Maximum Entropy （ME） X-CT reconstruction problem. This difficult problem is divided into several relatively easy subproblems

so that the previous reconstruction problem is solved by means of alternative solving of these subproblems. The convergence of the algorithm is proven and at the same time the converging result is guaranteed to be ME solution. Computer simulation shows that the proposed algorithm is effective.

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