采用快速贝叶斯匹配追踪的单视图X射线发光断层成像

侯榆青; 曲璇; 张海波; 易黄建; 贺小伟

doi:10.3788/OPE.20172505.1159

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采用快速贝叶斯匹配追踪的单视图X射线发光断层成像

现代应用光学 | 更新时间：2020-07-07

- 采用快速贝叶斯匹配追踪的单视图X射线发光断层成像
- Single-view XLCT imaging based on fast Bayesian matching pursuit
- 光学精密工程 2017年25卷第5期页码：1159-1170
- 作者机构：
  
  西北大学信息科学与技术学院, 陕西西安 710127
- 作者简介：
  
  [ "侯榆青(1963-), 女, 陕西榆林人, 教授, 硕士生导师, 1984年于西北大学获得学士学位, 1990年于中国科学院西安光机所获得硕士学位, 主要从事数字信号处理与信息系统, 图形图像处理及多媒体应用、DSP应用系统开发等方面的研究。E-mail:houyuqin@nwu.edu.cn" ]
  贺小伟(1977-), 男, 陕西米脂人, 教授, 博士生导师, 2005年于西安交通大学获得硕士学位, 2011年于西安电子科技大学获得博士学位, 主要从事光学分子影像、医学图像处理及可视化、颅面形态学等方面的研究。E-mail:hexw@nwu.edu.cn HE Xiao-wei, E-mail:hexw@nwu.edu.cn
- 基金信息：
  
  国家自然科学基金资助项目(61640418);国家自然科学基金资助项目(61372046);国家自然科学基金资助项目(61401264);国家自然科学基金资助项目(11571012);国家自然科学基金资助项目(61601363);陕西省科技计划项目(2013K12-20-12);陕西省科技计划项目(2015KW-002);陕西省自然科学研究计划项目(2015JM6322);陕西省教育厅自然科学研究计划项目(16JK1772);西北大学自然科学研究计划项目(338050018);西北大学自然科学研究计划项目(334100032);西北大学自然科学研究计划项目(338020012)
- DOI：10.3788/OPE.20172505.1159
  中图分类号： Q63;TP391
- 收稿日期：2016-12-13，
  
  录用日期：2017-1-16，
  
  纸质出版日期：2017-05-25
- 稿件说明：
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侯榆青, 曲璇, 张海波, 等. 采用快速贝叶斯匹配追踪的单视图X射线发光断层成像[J]. 光学精密工程, 2017,25(5):1159-1170.

Yu-qing HOU, Xuan QU, Hai-bo ZHANG, et al. Single-view XLCT imaging based on fast Bayesian matching pursuit[J]. Optics and precision engineering, 2017, 25(5): 1159-1170.
侯榆青, 曲璇, 张海波, 等. 采用快速贝叶斯匹配追踪的单视图X射线发光断层成像[J]. 光学精密工程, 2017,25(5):1159-1170. DOI： 10.3788/OPE.20172505.1159.

Yu-qing HOU, Xuan QU, Hai-bo ZHANG, et al. Single-view XLCT imaging based on fast Bayesian matching pursuit[J]. Optics and precision engineering, 2017, 25(5): 1159-1170. DOI： 10.3788/OPE.20172505.1159.

摘要

为了缓解单视图X射线发光断层成像中出现的不适定性问题，提出了一种结合区域迭代收缩策略的快速贝叶斯匹配追踪方法。该方法将贝叶斯模型和贪婪算法相结合，可以从较少的观测值中高效快速地恢复稀疏信号。为了进一步提高重建精度，将快速贝叶斯追踪与区域迭代收缩策略结合，简化了自适应有限元方法在网格划分和系统矩阵构建方面的复杂性，在缩减因子迭代缩小可行区域的同时，缓解了X射线发光断层成像逆向题求解中的病态性。为评估该方法的有效性，设计了仿真实验与真实物理仿体实验。仿真结果表明，本文方法在加快重建速度的同时，显著提高了纳米发光目标的定位精度和发光产额的定量结果，它们分别为0.73 mm和0.79

g。真实物理仿体实验进一步验证了该方法在实际单视图X射线发光断层成像中的可行性。

Abstract

To relieve the ill-posedness of single-view x-ray luminescence computed tomography (XLCT)

a fast Bayesian matching pursuit (FBMP) method combined with iterative-shrinking permissible region (ISPR) strategy was put forward.In this method

Bayesian model was combined with the greedy algorithm to quickly and efficiently restore sparse signal from few observed values. To further improve the reconstruction accuracy

FBMP was combined with ISPR strategy to simplify the mesh generation and system matrix construction by self-adaptive finite element

downsizing the factor iterative-shrinking permissible region

meanwhile relieving the ill-posedness of XLCT in reverse solution. In order to verify the effectiveness of the method

a simulation and a real physical phantom experiment were performed. The simulation results show that the proposed method

while speeding up the reconstruction process

significantly improve the localization accuracy of nano luminescent target and quantitative result of luminescence yield

which are 0.73 mm and 0.79

g respectively. The physical phantom experiment further verifies the feasibility of this method in actual XLCT.

关键词

Keywords

references

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