光学学报, 2006, 26 (4): 522, 网络出版: 2006-05-17
应用分割矩阵全局优化算法设计用于编码孔径成像的二维阵列
Design of Two-Dimensional Arrays Used in Coded Aperture Imaging by Means of DIRECT Global Optimization Algorithm
成像系统 三维成像 编码孔径成像 全局优化 分割矩阵算法 二维阵列 imaging system three-dimensional imaging coded aperture imaging global optimization DIRECT algorithm two-dimensional array
摘要
二维编码阵列是编码孔径成像的关键部件,它直接决定着再现的层析图像的质量。目前仍没有一种理想的二维阵列既具有较高的量子收集率,又具有良好的层析成像特性。采用一种新的方法——分割矩阵(DIRECT)全局优化算法,设计二维阵列,该算法适用于多变量“黑盒”问题的求解,并且具有比其他优化算法更快的收敛速度。其目的是设计一类自相关函数旁瓣最大值为1,同时具有最大填充率的二维编码阵列。理论分析及实验结果表明:用该算法搜索得到的二维阵列既具有较高的量子收集率,又具有良好的层析成像特性。
Abstract
Two-dimensional arrays are the key components used in the coded aperture imaging, and directly influence the quality of reconstructed images. Unfortunately, up to now, there is not a sort of two-dimensional arrays with fine property of tomographic imaging and high photon collection rate. The authors use a new global optimization method, DIRECT algorithm, to design two-dimensional arrays, which is very useful when the object function is a “black box” and has a faster convergence rate than others. The goal is designing a sort of arrays with max sidelobe of their autocorrelation function no more than 1 and the filling rate as high as possible. Theoretical analysis and experimental results prove that the arrays possess better property of tomographic imaging and higher photon collection rate than the existing arrays.
郎海涛, 刘立人, 阳庆国, 邓绍更, 刘锡民, 潘卫清, 王吉明, 赵栋. 应用分割矩阵全局优化算法设计用于编码孔径成像的二维阵列[J]. 光学学报, 2006, 26(4): 522. 郎海涛, 刘立人, 阳庆国, 邓绍更, 刘锡民, 潘卫清, 王吉明, 赵栋. Design of Two-Dimensional Arrays Used in Coded Aperture Imaging by Means of DIRECT Global Optimization Algorithm[J]. Acta Optica Sinica, 2006, 26(4): 522.