基于稀疏优化的计算机断层成像图像不完全角度重建综述

王林元; 刘宏奎; 李磊; 闫镔; 张瀚铭; 蔡爱龙; 陈建林; 胡国恩

doi:10.7498/aps.63.208702

摘要

计算机断层成像（computed tomography，CT）技术在医学和工业无损检测中都具有非常广泛的应用，CT重建算法是其中的核心，而不完全角度重建问题则是实际应用中重建算法研究领域的一个热点和难点问题. 近年来，随着稀疏优化理论与算法的飞速发展，基于稀疏优化的重建算法已经在不完全角度重建问题中得到了较广泛的应用，且表现出了良好的精度与速度性能. 本文首先对稀疏优化的基本理论结论与常用算法进行了介绍；而后对稀疏优化理论在CT图像不完全角度重建中的应用进行归纳，分类介绍了其主要研究成果及稀疏优化所发挥的作用；最后对基于稀疏优化的不完全角度重建研究进行了展望.

关键词:

Abstract

Computed tomography (CT) is a technology widely used in medicine and industrial non-destructive testing, and the image reconstruction algorithm is a core technology of CT. Now, the image reconstruction from few-view projections is a hot point in the study of reconstruction algorithm. With the advancements in theories and algorithms, the sparse optimization has recently been applied to few-view reconstruction for CT image, and shown to have a good performance in both accuracy and speed. In this paper, basic conclusions and classical algorithms in sparse optimization are introduced. Furthermore, the spare optimization based few-view reconstruction algorithms for CT image, in particular the main results and the values of spare optimization, are summarized. Finally, the future research direction of sparse optimization based few-view reconstruction for CT image is discussed.

Keywords:

作者及机构信息

1.
国家数字交换系统工程技术研究中心, 郑州 450002;

2.
大连理工大学建设工程学院, 大连 116000

基金项目: 国家高技术研究发展计划（批准号：2012AA011603）和国家自然科学基金（批准号：61372172）资助的课题.

Authors and contacts

1.
National Digital Switching System Engineering and Technological Research Center, Zhengzhou 450002, China;

2.
Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116000, China

Funds: Project supported by the National High Technology Research and Development Program of China (Grant No. 2012AA011603) and the National Natural Science Foundation of China (Grant No. 61372172).

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施引文献

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