凸算法在TCT统计重建中的应用  

Application of convex algorithm in TCT statistical reconstruction

作　　者：薛迎[1] 刘子龙[1] 蔚慧甜[1] 郑源彩[1] 周学威[1] 

机构地区：[1]中北大学电子测试技术国家重点实验室,山西太原030051

出　　处：《电子测试》2011年第7期42-45,共4页Electronic Test

摘　　要：TCT(Transmission Computed Tomograhy)统计迭代重建算法是目前研究的一个热点,相比ECT统计重建算法来讲,TCT统计重建算法的似然函数比ECT的形式更加复杂、更不易求解。为了简化该问题的求解,本文从优化转化的思想出发,结合凸不等式的性质,寻找了一个易于求解、分离变量的代理函数代替原来的似然函数,并经过一系列数学推导得到TCT迭代重建的凸算法公式。为了验证此方法的正确性和有效性,本文采用Shepp-Logan头部模型进行了仿真实验,实验结果表明该方法是可行的。The research of statistical iterative algorithm in Transmission Computed Tomography is a hot spot currently. Compared with ECT statistical reconstruction algorithm, the likelihood function of TCT statistical reconstruction algorithm than ECT is more sophisticated and easier to solve. From optimization transformation , combining with the nature of convex inequality, an easy solution, separation variable agent function instead of likelihood function is looked for in this paper. TCT iterative reconstruction of convex algorithm formula is derived by a series of mathematics. In order to validate the correctness and effectiveness of this method, simulation experiment of Shepp-Logan model is adopted in this paper. Experiment results show that this method is feasible.

关 键 词：凸算法 TCT统计迭代重建 有序子集 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]