# 基于数字全息显微的牛奶中样本成像方法的研究Study on the Imaging Method of Samples Immersed in Milk Based on Digital Holographic Microscopy

Abstract: The imaging of samples immersed in milk media is blurred because of the scattering effect. By utilizing the digital holography technique, the phase and intensity of wave front of the transmitting beam through the non-transparent media can be reconstructed, while the noises introduced by the scattering material can be filtered by digital filtering algorithm. In this paper, the transmission digital holographic microscopic system was applied in imaging of USAF resolution plate immersed in milk. The effect of incident light intensity on imaging is also discussed. The experiment results show that even when the incident light source is too weak to image the sample in milk, by applying digital holographic microscopy, clear reconstructed intensity image of sample in milk can still be obtained. Therefore, digital holography technique is especially suitable for the imaging of samples immersed in milk media.

1. 引言

2. 基于数字全息显微的牛奶中样本成像原理

${I}_{H}\left(x,y\right)={I}_{noise}+{|R|}^{2}+{|O|}^{2}+{R}^{\ast }O+{O}^{\ast }R$ (1)

$u\left(x,y\right)=\Gamma \left(x,y\right)R\left(x,y\right)\left[R*\left(x,y\right)O\left(x,y\right)\right]$ (2)

$Intensity\left(x,y\right)={|u\left(x,y\right)|}^{2}$ (3)

3. 系统与实验

3.1. 透射式数字全息系统

Figure 1. Setup of transmitting digital holographic microscope

3.2. 牛奶中分辨率板成像实验

(a) (b) (c)

Figure 2. USAF resolution board in air medium. (a) digital microscopic hologram; (b) frequency spectrum; (c) intensity

(a) (b) (c)

Figure 3. USAF resolution board in milk medium. (a) digital microscopic hologram; (b) frequency spectrum; (c) intensity

3.3. 入射光强对非透明介质样本成像的影响

(a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) (l) (m) (n) (o)

Figure 4. Digital holograms of USAF resolution board in milk medium illuminated by optical sources with multiple intensities. (a)-(o) the intensity of 4.5 mW, 4.2 mW, 3.9 mW, 3.6 mW, 3.3 mW, 3.0 mW, 2.7 mW, 2.4 mW, 2.1 mW, 1.8 mW, 1.5 mW, 1.2 mW, 0.9 mW, 0.6 W and 0.3 mW

(a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) (l) (m) (n) (o)

Figure 5. Frequency spectrum of USAF resolution board in milk medium illuminated by optical sources with multiple intensities. (a)-(o) the intensity of 4.5 mW, 4.2 mW, 3.9 mW, 3.6 mW, 3.3 mW, 3.0 mW, 2.7 mW, 2.4 mW, 2.1 mW, 1.8 mW, 1.5 mW, 1.2 mW, 0.9 mW, 0.6 W and 0.3 mW

(a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) (l) (m) (n) (o)

Figure 6. Reconstructed intensity of USAF resolution board in milk medium illuminated by optical sources with multiple intensities. (a)-(o) the intensity of 4.5 mW, 4.2 mW, 3.9 mW, 3.6 mW, 3.3 mW, 3.0 mW, 2.7 mW, 2.4 mW, 2.1 mW, 1.8 mW, 1.5 mW, 1.2 mW, 0.9 mW, 0.6 W and 0.3 mW

4. 结论

NOTES

*通讯作者。

[1] IRAM 14 008-1962. 牛奶中可见杂质的测定方法[S]. https://www.antpedia.com/standard/5516230.html, 1962-01-01.

[2] 王信. 奶粉杂质度的控制[J]. 吉林农业, 1996(3): 11.

[3] Lnis, P., Ghinita, G., Mouratidis, K., et a1. (2007) Preventing Location-Based Identity Inference in Anonymous Spatial Queries. IEEE Transactions on Knowledge and Data Engineering, 19, 1719-1733.

[4] 孙绍晟, 张林. 基于图像的牛奶细微杂质检测算法研究与仿真[J]. 计算机应用与软件, 2013(1): 287-289+320.

[5] 苏康艳, 曾雅楠, 刘源, 吴海云, 陈夏瑜. 基于数字全息显微技术的生物细胞动态定量测量[J]. 光电子, 2019, 9(2): 77-82.
https://doi.org/10.12677/OE.2019.92012

[6] 张亦卓. 生物样品的数字全息显微相衬成像技术研究[D]: [硕士学位论文]. 北京: 北京工业大学, 2012.

[7] 李仕萍. 数字全息技术在生物医学成像中的应用基础研究[D]: [博士学位论文]. 广州: 暨南大学, 2014.

Top