Weighted Sampling Optimization Technology for Large-Format Small-Pixel Optical Imaging Devices

Xuxia Zhuang; Ningjuan Ruan; Jiuzhe Wei; Jinping He

doi:10.3788/AOS241004

Acta Optica Sinica, Volume. 44, Issue 22, 2211001(2024)

Weighted Sampling Optimization Technology for Large-Format Small-Pixel Optical Imaging Devices

Xuxia Zhuang^1,2、*, Ningjuan Ruan^1,2, Jiuzhe Wei^1,2, and Jinping He^1,2

Author Affiliations

¹Beijing Institute of Space Mechanics & Electricity, Beijing 100094, China

²Beijing Key Laboratory of Advanced Optical Remote Sensing Technology, Beijing 100094, China

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Abstract Get PDF(in Chinese)

Figures & Tables(20)

Fig. 1. Schematic diagrams of different sampling methods. (a) Multi-pixel binning; (b) weighted sampling

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Fig. 2. Diagram of coordinate definition

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Fig. 3. Definition diagram of weighted sampling coordinate (N=3)

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Fig. 4. Characteristics of MTF with weighted factor

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Fig. 5. Characteristics of SNR with weighted factor

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Fig. 6. Definition diagram of weighted sampling coordinate (N=5)

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Fig. 7. Characteristics of MTF×SNR with weighted factor

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Fig. 8. Simulation scenario

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Fig. 9. Schematic diagram of weighted factors (N=3). (a) Mode 1; (b) mode 2; (c) mode 3; (d) mode 4

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Fig. 10. Simulation results of different sampling modes. (a) Mode 1; (b) mode 2; (c) mode 3; (d) mode 4

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Fig. 11. Simulation results of different sampling modes (local amplified images). (a) Mode 1; (b) mode 2; (c) mode 3; (d) mode 4

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Fig. 12. Schematic diagram of weighted factors (N=5). (a) Mode 1; (b) mode 2; (c) mode 3; (d) mode 4

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Fig. 13. Simulation results of different sampling modes. (a) Mode 1; (b) mode 2; (c) mode 3; (d) mode 4

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Fig. 14. Simulation results of different sampling modes (local amplified images). (a) Mode 1; (b) mode 2; (c) mode 3; (d) mode 4

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Table 1. Maximum of MTF and SNR for different N

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Table 1. Maximum of MTF and SNR for different N

N×N

Maximum of MTF

（@Nyquist frequency）

Magnification of MTF relative to condition of N=1

Maximum of SNR

Magnification of SNR relative to condition of N=1

1×1

0.634

1.00

S₀

3×3

0.955

1.51

3S₀

5×5

0.984

1.55

5S₀

Table 2. Optimization result

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Table 2. Optimization result

Number

Constraint

Optimization results

（k₀，k₁，k₂）

MTF

（@Nyquist

frequency）

SNR /dB

MTF×SNR

（@Nyquist frequency）

Magnification of MTF×SNR relative to condition of N=1

ψ_m=0.95

S_m=46.0 dB

（0.201， 0.199， 0）

0.95

47.0

212.2

3.3

ψ_m=0.64

S_m=49.0 dB

（0.114， 0.114， 0.108）

0.64

49.4

190.3

3.0

ψ_m=0.8

S_m=47.5 dB

（0.177， 0.177， 0.029）

0.84

47.5

198.9

3.1

Table 3. Weighted factor setting (N=3)

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Table 3. Weighted factor setting (N=3)

Mode	Matrix of weighted factor
Mode 1	$[\begin{matrix} 0.111 & 0.111 & 0.111 \\ 0.111 & 0.111 & 0.111 \\ 0.111 & 0.111 & 0.111 \end{matrix}]$
Mode 2	$[\begin{matrix} 0.095 & 0.118 & 0.095 \\ 0.118 & 0.148 & 0.118 \\ 0.095 & 0.118 & 0.095 \end{matrix}]$
Mode 3	$[\begin{matrix} 0.067 & 0.125 & 0.067 \\ 0.125 & 0.231 & 0.125 \\ 0.067 & 0.125 & 0.067 \end{matrix}]$
Mode 4	$[\begin{matrix} 0 & 0 & 0 \\ 0 & 1.000 & 0 \\ 0 & 0 & 0 \end{matrix}]$

Table 4. Evaluation results of simulation images (N=3)
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Table 4. Evaluation results of simulation images (N=3)
Mode S₃ ψ₃@Nyquist frequency ψ₃×S₃
Mode 1 96.020 0.102 9.794
Mode 2 94.890 0.107 9.785
Mode 3 87.379 0.114 10.153
Mode 4 31.971 0.146 9.961

Table 5. Weighted factor setting (N=5)

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Table 5. Weighted factor setting (N=5)

Mode	Matrix of weighted factor
Mode 1	$[\begin{matrix} 0.040 & 0.040 & 0.040 & 0.040 & 0.040 \\ 0.040 & 0.040 & 0.040 & 0.040 & 0.040 \\ 0.040 & 0.040 & 0.040 & 0.040 & 0.040 \\ 0.040 & 0.040 & 0.040 & 0.040 & 0.040 \\ 0.040 & 0.040 & 0.040 & 0.040 & 0.040 \end{matrix}]$
Mode 2	$[\begin{matrix} 0.023 & 0.034 & 0.038 & 0.034 & 0.023 \\ 0.034 & 0.049 & 0.056 & 0.049 & 0.034 \\ 0.038 & 0.056 & 0.063 & 0.056 & 0.038 \\ 0.034 & 0.049 & 0.056 & 0.049 & 0.034 \\ 0.023 & 0.034 & 0.038 & 0.034 & 0.023 \end{matrix}]$
Mode 3	$[\begin{matrix} 0.003 & 0.013 & 0.022 & 0.013 & 0.003 \\ 0.013 & 0.060 & 0.098 & 0.060 & 0.013 \\ 0.022 & 0.098 & 0.162 & 0.098 & 0.022 \\ 0.013 & 0.060 & 0.098 & 0.060 & 0.013 \\ 0.003 & 0.013 & 0.022 & 0.013 & 0.003 \end{matrix}]$
Mode 4	$[\begin{matrix} 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 \end{matrix}]$

Table 6. Evaluation results of simulation images (N=5)
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Table 6. Evaluation results of simulation images (N=5)
Mode S₅ ψ₅@Nyquist frequency ψ₅×S₅
Mode 1 160.238 0.101 16.184
Mode 2 153.732 0.109 16.757
Mode 3 110.970 0.138 15.314
Mode 4 31.963 0.153 4.966

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Xuxia Zhuang, Ningjuan Ruan, Jiuzhe Wei, Jinping He. Weighted Sampling Optimization Technology for Large-Format Small-Pixel Optical Imaging Devices[J]. Acta Optica Sinica, 2024, 44(22): 2211001

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