Enhancing the ability of single-pixel imaging against the source’s energy fluctuation by complementary detection

Junjie Cai; Wenlin Gong

doi:10.3788/COL202422.031101

Journals >Chinese Optics Letters >Volume 22 >Issue 3 >Page 031101 > Article

Chinese Optics Letters
Vol. 22, Issue 3, 031101 (2024)

Enhancing the ability of single-pixel imaging against the source’s energy fluctuation by complementary detection

Junjie Cai^1,2 and Wenlin Gong^1,2,*

Author Affiliations

¹School of Optoelectronic Science and Engineering, Soochow University, Suzhou 215006, China

²Key Laboratory of Modern Optical Technologies of the Ministry of Education, Soochow University, Suzhou 215006, China

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DOI: 10.3788/COL202422.031101 Cite this Article Set citation alerts

Junjie Cai, Wenlin Gong, "Enhancing the ability of single-pixel imaging against the source’s energy fluctuation by complementary detection," Chin. Opt. Lett. 22, 031101 (2024) Copy Citation Text

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Abstract

The source’s energy fluctuation has a great effect on the quality of single-pixel imaging (SPI). When the method of complementary detection is introduced into an SPI camera system and the echo signal is corrected with the summation of the light intensities recorded by two complementary detectors, we demonstrate, by both experiments and simulations, that complementary single-pixel imaging (CSPI) is robust to the source’s energy fluctuation. The superiority of the CSPI structure is also discussed in comparison with previous SPI via signal monitoring.

Keywords

complementary detection computational imaging correlation function image reconstruction

Y_{up}^{i} = I^{i} \int A^{i} (x) T (x) d x + I_{n - up}^{i}, \forall_{i} = 1, \dots, K,

(1)

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Y_{down}^{i} = I^{i} \int (1 - A^{i} (x)) T (x) d x + I_{n - down}^{i}, \forall_{i} = 1, \dots, K,

(2)

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O_{SPI}^{s} (x) = \frac{1}{K} \sum_{i = 1}^{K} (A_{s}^{i} (x) - ⟨ A_{s} (x) ⟩) Y_{s}^{i}, s = up, down,

(3)

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O_{CSPI} (x) = O_{SPI}^{up} (x) + O_{SPI}^{down} (x) = \frac{1}{K} \sum_{i = 1}^{K} (A^{i} (x) - ⟨ A (x) ⟩) Y_{CSPI}^{i},

(4)

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Y_{CSPI}^{i} = 2 I^{i} \int (A^{i} (x) - \frac{1}{2}) T (x) d x + I_{n - up}^{i} - I_{n - down}^{i}, \forall_{i} = 1, \dots, K .

(5)

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O_{{CSPI}_{correction}} (x) = \frac{1}{K} \sum_{i = 1}^{K} (A^{i} (x) - ⟨ A (x) ⟩) \frac{Y_{CSPI}^{i}}{I_{c}^{i}} .

(6)

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O_{{SPI}_{correction}} (x) = \frac{1}{K} \sum_{i = 1}^{K} (A^{i} (x) - ⟨ A (x) ⟩) \frac{Y^{i}}{I_{m}^{i}},

(7)

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PSNR = 10 \times \log_{10} (\frac{{{(2}^{p} - 1)}^{2}}{MSE}),

(8)

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MSE = \frac{1}{N_{pix}} \sum_{i = 1}^{N_{pix}} {(O_{rec} (x_{i}) - O (x_{i}))}^{2},

(9)

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Junjie Cai, Wenlin Gong, "Enhancing the ability of single-pixel imaging against the source’s energy fluctuation by complementary detection," Chin. Opt. Lett. 22, 031101 (2024)

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