东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2011, Vol. 32 ›› Issue (1): 10-13.DOI: -

• 论著 • 上一篇    下一篇

PET成像的加权最小二乘重建算法

滕月阳;张铁;   

  1. 东北大学理学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(10771031,11071033)

Weighted least squares reconstruction algorithm for positron emission tomography

Teng, Yue-Yang (1); Zhang, Tie (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Teng, Y.-Y.
  • About author:-
  • Supported by:
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摘要： 针对正电子发射断层成像系统,提出一种基于加权最小二乘函数的迭代重建算法.与传统的梯度型算法不同,在迭代过程中,此算法利用当前迭代点构造辅助函数,使用辅助函数的最优解代替目标函数的最优解,获得新的迭代点.该算法自动满足非负约束,无需步长因子,保证目标函数单调递减,并且具有全局收敛性.使用模拟数据和真实医学诊断数据进行实验,结果表明:该算法与SA-WLS和ML-EM算法相比需要相同的运算时间,但是具有更快的收敛速度和更好的成像质量.

关键词: 迭代重建, 最小二乘函数, 辅助函数, 全局收敛, Kuhn-Tucker条件

Abstract: An iterative reconstruction algorithm was developed based on the weighted least squares cost function for positron emission tomography. Unlike the conventional gradient-based algorithm, this algorithm made use of an auxiliary function in the current iterative point to form iteration process, by which the optimal solution was given instead of that by objective function, thus giving the new iterative points. Furthermore, the algorithm automatically satisfied the non-negative constraints of pixels without step size factor required, then ensuring the monotonous decreasing of objective function with global convergence provided. The results of the experiments based on both simulative and real clinical data showed that although the proposed algorithm requires the operating time that is much the same to the SA-WLS and ML-EM, it has higher convergence rate and better imaging quality than the latter.

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