基于波动光学的显微光场成像点扩散函数

顾梦涛; 宋祥磊; 张彪; 唐志永; 许传龙

doi:10.13700/j.bh.1001-5965.2018.0689

基于波动光学的显微光场成像点扩散函数

doi: 10.13700/j.bh.1001-5965.2018.0689

1.
东南大学能源与环境学院能源热转换及其过程测控教育部重点实验室, 南京 210096
2.
中国科学院上海高等研究院低碳转化科学与工程重点实验室, 上海 201210

基金项目:

国家自然科学基金 51676044

江苏省自然科学基金 BK20150023

中国科学院低碳转化科学与工程重点实验室开放课题 KLLCCSE-201703

中国科学院低碳转化科学与工程重点实验室开放课题 SARI

中国科学院低碳转化科学与工程重点实验室开放课题 CAS

详细信息

作者简介:
顾梦涛男, 硕士研究生。主要研究方向:微纳多相流的特性与测试

许传龙男, 博士, 教授。主要研究方向:多相流测试、燃烧诊断技术

通讯作者:
许传龙, E-mail: chuanlongxu@seu.edu.cn

中图分类号: O359
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- 被引次数: 0
出版历程
- 收稿日期: 2018-11-23
- 录用日期: 2019-01-11
- 网络出版日期: 2019-08-20

Point spread function of microscopic light field imaging based on wave optics

1.
Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, School of Energy and Environment, Southeast University, Nanjing 210096, China
2.
Key Laboratory of Low-Coal Conversion Science & Engineering, Shanghai Advanced Research Institute, Chinese Academy of Sciences, Shanghai 201210, China

Funds:

National Natural Science Foundation of China 51676044

Natural Science Foundation of Jiangsu Province BK20150023

CAS Key Laboratory of Low-Coal Conversion Science & Engineering KLLCCSE-201703

CAS Key Laboratory of Low-Coal Conversion Science & Engineering SARI

CAS Key Laboratory of Low-Coal Conversion Science & Engineering CAS

More Information

Corresponding author: XU Chuanlong, E-mail: chuanlongxu@seu.edu.cn

摘要

摘要:
光场Micro-PIV通过Lucy-Richardson（L-R）算法对光场图片进行反卷积重建，从而获得示踪粒子的三维坐标信息，准确的点扩散函数（PSF）是L-R算法完成重建的前提，而现有PSF模型不适用于光场Micro-PIV系统。为此，建立了基于波动光学的显微光场成像PSF模型，进行了数值仿真，获得了模拟PSF图像，并通过结构相似性算法计算了模拟PSF图像与实际PSF图像的相似度，进一步利用L-R算法结合PSF对单个粒子和不同浓度下示踪粒子的流场进行了三维重建。结果表明：模拟PSF图像与实际PSF图像相似度大于0.94，表明PSF模型具有较高的准确性；单个粒子的三维坐标误差在一个像素以内，并可准确地获得不同浓度下示踪粒子的三维坐标信息，进一步验证了模型的准确性，为光场Micro-PIV实现瞬时三维速度场测量奠定了基础。
- 显微成像 /
- 反卷积 /
- 点扩散函数(PSF) /
- 光场成像 /
- 流场
Abstract:
The light field Micro-PIV deconvolutes the light field image by Lucy-Richardson (L-R) algorithm to obtain the three-dimensional coordinate information of the tracer particle. The accurate point spread function (PSF) is the premise of the L-R algorithm to complete the reconstruction, and the existing PSF model is not suitable for the light field Micro-PIV system. In this paper, the PSF model of a microscopic light field imaging system based on wave optics is established. Numerical simulation is carried out to calculate the PSF. The similarity between the calculated and experimental PSF images is determined by the structural similarity algorithm. Combining the theoretically calculated PSF, the L-R algorithm is used to reconstruct the single particle and the flow field of tracer particles at different concentrations. Results show that the similarity between simulated and actual PSF is more than 0.94, indicating that the PSF model has high accuracy. The three-dimensional coordinate error of a single particle is within one pixel, and the three-dimensional coordinate information of the tracer particles at different concentrations can be accurately obtained, which further verifies the accuracy of the PSF model and lays the foundation for light field Micro-PIV to realize instantaneous three-dimensional velocity field measurement.
- microscopic imaging /
- deconvolution /
- point spread function (PSF) /
- light field imaging /
- flow field

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图 1 显微光场成像原理示意图

Figure 1. Schematic diagram of microscopic light field imaging

下载: 全尺寸图片幻灯片

图 2 光场Micro-PIV系统原理图

Figure 2. Schematic diagram of light field Micro-PIV system

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图 3 光场Micro-PIV实验系统

Figure 3. Light field Micro-PIV experimental system

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图 4 光轴上不同深度点的模拟PSF图像

Figure 4. Simulated PSF image of points at different depth on optical axis

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图 5 深度z=50μm时不同水平位置处PSF仿真结果

Figure 5. PSF simulation results at different horizontal positions when depth z=50μm

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图 6 光轴上不同深度点的实际PSF图像

Figure 6. Actual PSF image of points at different depth on optical axis

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图 7 单个粒子实验光场图片及重建结果

Figure 7. Single particle experimental light field image and reconstruction results

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图 8 低粒子浓度(0.025g/L)实验重建结果

Figure 8. Low particle concentration (0.025g/L) experimental reconstruction results

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图 9 高粒子浓度(0.25g/L)实验重建结果

Figure 9. High particle concentration (0.25g/L) experimental reconstruction results

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表 1 显微光场成像系统参数

Table 1. Microscopic light field imaging system parameters

设备	参数	数值
显微镜	物镜放大倍率M	10
	物镜数值孔径NA	0.3
	物镜焦距f_o/mm	20
	筒镜焦距f_t/mm	200
CCD相机	分辨率n_px×n_py	2352×1768
CCD相机	像素大小P_p/μm	5.5
微透镜阵列	微透镜孔径D/μm	136
微透镜阵列	微透镜焦距f_μ/μm	2260
荧光粒子	荧光波长λ/nm	584

下载: 导出CSV

表 2 图像相似度函数值

Table 2. Image similarity function values

深度/μm	0	10	20	30	40	50	60	70	80
相似度函数值	0.9838	0.9820	0.9740	0.9661	0.9586	0.9581	0.9556	0.9463	0.9426

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