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基于Bregman迭代的CT图像重建算法

康慧 高红霞 胡跃明 郭琪伟

康慧, 高红霞, 胡跃明, 郭琪伟. 基于Bregman迭代的CT图像重建算法. 自动化学报, 2013, 39(9): 1570-1575. doi: 10.3724/SP.J.1004.2013.01570
引用本文: 康慧, 高红霞, 胡跃明, 郭琪伟. 基于Bregman迭代的CT图像重建算法. 自动化学报, 2013, 39(9): 1570-1575. doi: 10.3724/SP.J.1004.2013.01570
KANG Hui, GAO Hong-Xia, HU Yue-Ming, GUO Qi-Wei. Reconstruction Algorithm Based on Bregman Iteration. ACTA AUTOMATICA SINICA, 2013, 39(9): 1570-1575. doi: 10.3724/SP.J.1004.2013.01570
Citation: KANG Hui, GAO Hong-Xia, HU Yue-Ming, GUO Qi-Wei. Reconstruction Algorithm Based on Bregman Iteration. ACTA AUTOMATICA SINICA, 2013, 39(9): 1570-1575. doi: 10.3724/SP.J.1004.2013.01570

基于Bregman迭代的CT图像重建算法

doi: 10.3724/SP.J.1004.2013.01570
基金项目: 

国家高技术研究发展计划(863计划) (2012AA041312); 国家自然科学基金(60835001, 61040011); 中央高校基本科研业务费专项资金(2012ZZ0107);广东省战略性新兴产业专项资金LED产业项目(2010A081002007)资助

详细信息
    作者简介:

    康慧 华南理工大学自动化科学与工程学院博士研究生. 主要研究方向为图像处理,计算机视觉与模式识别.E-mail: spiritcherry@126.com

Reconstruction Algorithm Based on Bregman Iteration

Funds: 

Supported by National High Technology Research and Development Program of China (863 Program) (2012AA041312), National Natural Science Foundation of China (60835001, 61040011), Fundamental Research Funds for the Central Universities (2012ZZ0107), and Strategic Emerging Industry Special Funds of Guangdong Province "LED Industry Project"

  • 摘要: 针对大规模集成电路领域CT重建图像的特点,提出TV约束条件下采用l1范数作正则项的重建模型,并给出了基于Bregman迭代的模型求解算法.算法分为两步: 1)采用Bregman迭代求解图像的l1范数作为正则项,误差的加权l2范数作为保真项的约束极值问题;2) 采用TV约束对1)中得到的重建图像进行修正.算法对TV约束条件下采用l1作正则项的重建模型分开求解,降低了算法的复杂度,加快了收敛速度.算法在稀疏投影数据下可以快速重建CT图像且质量较好.本文采用经典的Shepp-Logan图像进行仿真实验并对实际得到的电路板投影数据进行重建,结果表明该算法可满足重建质量要求且重建速度有较大提升.
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出版历程
  • 收稿日期:  2012-10-11
  • 修回日期:  2013-04-25
  • 刊出日期:  2013-09-20

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