# Adaptive Single Photon Compressed Imaging Based on Constructing a Smart Threshold Matrix

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## Abstract

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## 1. Introduction

## 2. Principle and Realization of Single-Photon Compressed Imaging

## 3. The Construction of an Adaptive Measurement Matrix

## 4. Experimental Results and Discussion

#### 4.1. Effect of Measurement Times on Imaging Quality

#### 4.2. Effect of Reconstruction Algorithm on Imaging Quality

#### 4.3. Anti-Noise Ability of Adaptive Measurement Matrix

## 5. Conclusions

## Author Contributions

## Funding

## Conflicts of Interest

## References

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**Figure 3.**Reconstitution of images measured with the Gaussian random matrix under compression ratio at (

**a**) 0.1, (

**b**) 0.2, (

**c**) 0.3, (

**d**) 0.4, (

**e**) 0.5, and reconstitution of images measured with adaptive measurement matrix under compression ratio at (

**f**) 0.1, (

**g**) 0.2, (

**h**) 0.3, (

**i**) 0.4, (

**j**) 0.5, the reconstruction algorithm is TVAL3 and the resolution of the image is $64\times 64$ for all.

**Figure 4.**PSNR of image reconstructed with number of measurement time from 0 to 1800 with a step of 20, which measured with the Gaussian random matrix and the adaptive measurement matrix. When the PSNR of both image is 39.6 dB, the image measured with the Gaussian random matrix requires 779 measurements, while the image measured with the adaptive measurement matrix requires only 184 measurements.

**Figure 5.**In the case of the sampling rate is 0.15, the image measured by Gaussian random matrix reconstructed by OMP (

**a**), IHT (

**b**), and TVAL3 (

**c**) algorithms. The resolution of the image is all $64\times 64$.

**Figure 6.**In the case of the sampling rate is 0.15, the image measured by adaptive measurement matrix reconstructed by OMP (

**a**), IHT (

**b**), and TVAL3 (

**c**) algorithms. The resolution of the image is all $64\times 64$.

**Figure 7.**In the case of the sampling rate is 0.4, the image measured by Gaussian random matrix reconstructed by OMP (

**a**), IHT (

**b**), and TVAL3 (

**c**) algorithms. The resolution of the image is all $64\times 64$.

**Figure 8.**In the case of the sampling rate is 0.4, the image measured by adaptive measurement matrix reconstructed by OMP (

**a**), IHT (

**b**), and TVAL3 (

**c**) algorithms. The resolution of the image is all $64\times 64$.

**Figure 9.**Image added Gaussian noise with a mean of 0 and variance of (

**a**) 0, (

**b**) 0.02, (

**c**) 0.04, (

**d**) 0.06, (

**e**) 0.08, and (

**f**) 0.1. The resolution of the images are all $64\times 64$.

**Figure 10.**When the sampling rate is 0.1, the image reconstructed from the original image measured by Gaussian random matrix added with a mean of 0 and variance of (

**a**) 0, (

**b**) 0.02, (

**c**) 0.04, (

**d**) 0.06, (

**e**) 0.08, and (

**f**) 0.1. The reconstructed algorithm is TVAL3. The resolution of the image is $64\times 64$ for all.

**Figure 11.**When the sampling rate is 0.1, the image reconstructed from the original image measured by adaptive measurement matrix added with a mean of 0 and variance of (

**a**) 0, (

**b**) 0.02, (

**c**) 0.04, (

**d**) 0.06, (

**e**) 0.08, and (

**f**) 0.1. The reconstructed algorithm is TVAL3. The resolution of the image is $64\times 64$ for all.

**Figure 12.**PSNR of image reconstructed from the original image added with Gaussian noise, which with a mean of 0 and different variance of 0.0–0.1 by using the adaptive matrix measure with the Gaussian random matrix and the adaptive matrix, the resolution of the image is all $64\times 64$, and the reconstructed algorithm is TVAL3.

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## Share and Cite

**MDPI and ACS Style**

Shangguan, W.; Yan, Q.; Wang, H.; Yuan, C.; Li, B.; Wang, Y. Adaptive Single Photon Compressed Imaging Based on Constructing a Smart Threshold Matrix. *Sensors* **2018**, *18*, 3449.
https://doi.org/10.3390/s18103449

**AMA Style**

Shangguan W, Yan Q, Wang H, Yuan C, Li B, Wang Y. Adaptive Single Photon Compressed Imaging Based on Constructing a Smart Threshold Matrix. *Sensors*. 2018; 18(10):3449.
https://doi.org/10.3390/s18103449

**Chicago/Turabian Style**

Shangguan, Wentao, Qiurong Yan, Hui Wang, Chenglong Yuan, Bing Li, and Yuhao Wang. 2018. "Adaptive Single Photon Compressed Imaging Based on Constructing a Smart Threshold Matrix" *Sensors* 18, no. 10: 3449.
https://doi.org/10.3390/s18103449