Mojette变换稀疏采样发射层析成像理论研究  

Theoretical Studies on the Sparsely Sampled Flame Emission Computerized Tomography Based on Mojette Transform

作　　者：王可暄[1] 王佳 王天宝[3] 吴慎将[2] WANG Kexuan;WANG Jia;WANG Tianbao;WU Shenjiang(Shaanxi Institute of Applied Physics and Chemistry,Xi’an 710061,China;School of Optoelectronic Engineering,Xi’an Technological University,Xi’an 710021,China;The First Military Representative Office,Military Representative Bureau in Xi’an,Army Equipment Department of the Chinese People’s Liberation Army,Xi’an 710025,China)

机构地区：[1]陕西应用物理化学研究所,西安710061 [2]西安工业大学光电工程学院,西安710021 [3]中国人民解放军陆军装备部驻西安地区军事代表局驻西安地区第一军事代表室,西安710025

出　　处：《西安工业大学学报》2020年第6期654-661,共8页Journal of Xi’an Technological University

基　　金：国家自然科学基金(61701385);装备预研领域基金项目(61406190501,61406190301);陕西省教育厅重点科学研究计划项目(20JS061)。

摘　　要：为了利用较少投影角度的发射层析技术实现燃烧场的高质量三维成像,文中提出一种基于Mojette变换的稀疏采样层析重建方法,以减少重建迭代次数为原则确定出最优投影矢量,结合代数迭代算法进行层析重建,提高重建算法的抗噪声性能。通过建立两种投影之间的关系模型将Radon变换投影转换为Mojette变换投影,将Mojette变换应用于实际的燃烧场重建。数值模拟和实验结果表明:利用8个特定方向的投影可以实现被测物体的高质量重建,且具有较强的抗噪性能和更高的重建效率。该方法可以为投影角度受限的燃烧场三维成像技术提供理论和实验参考。In order to realize the high-quality three-dimensional(3-D)imaging of combustions by using emission computerized tomography(ECT)with few projection angles,this paper presents a reconstruction method of sparsely sampled tomography based on Mojette transform.The optimal projection vectors are determined on the principle of reducing the number of reconstruction iterations and the algebraic reconstruction technique(ART)algorithm is used for reconstruction in order to improve the anti-noise performance of reconstruction algorithms.Based on the model of the relation between the two transforms,the Radon transform projections are converted into the Mojette transform projections,which are applied to the imaging of practical combustions.Numerical simulation and experimental results show that,with 8 projections in specific directions,high-quality reconstruction can be achieved,which has strong anti-noise performance and high reconstruction efficiency.The study can provide theoretical and experimental references for the 3-D imaging of the angle-limited combustions by ECT.

关 键 词：层析成像技术 MOJETTE变换 稀疏采样 代数迭代算法 投影转换 

分 类 号：TP751.1[自动化与计算机技术—检测技术与自动化装置]