• Acta Optica Sinica
  • Vol. 45, Issue 7, 0712002 (2025)
Chunmiao Xu1 and Wenlin Gong1,2,3,*
Author Affiliations
  • 1School of Optoelectronic Science and Engineering, Soochow University, Suzhou 215006, Jiangsu , China
  • 2Key Laboratory of Advanced Optical Manufacturing Technologies of Jiangsu Province, Suzhou 215006, Jiangsu , China
  • 3National Key Laboratory of Air-based Information Perception and Fusion, Luoyang 471099, Henan , China
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    DOI: 10.3788/AOS241799 Cite this Article Set citation alerts
    Chunmiao Xu, Wenlin Gong. Passive Ranging and Refocusing Method Based on Two-Frame Detection Signals[J]. Acta Optica Sinica, 2025, 45(7): 0712002 Copy Citation Text show less
    Diagram of traditional optical imaging for imaging same target at different detection distances
    Fig. 1. Diagram of traditional optical imaging for imaging same target at different detection distances
    Passive ranging and refocusing method based on two-frame detection signals. (a) Schematic of passive ranging based on two-frame detection signals; (b) architecture of passive ranging and refocusing based on two-frame detection signals
    Fig. 2. Passive ranging and refocusing method based on two-frame detection signals. (a) Schematic of passive ranging based on two-frame detection signals; (b) architecture of passive ranging and refocusing based on two-frame detection signals
    Signal processing and distance solution of coarse ranging method based on two-frame detection signals and IQEF
    Fig. 3. Signal processing and distance solution of coarse ranging method based on two-frame detection signals and IQEF
    Image reconstruction results and edge images corresponding to the first frame detection signal. (a) Image recorded by detector when z=253.0 mm; (b) CS reconstruction results based on PSF measurement matrix at different detection distances; (c) edge images corresponding to (b)
    Fig. 4. Image reconstruction results and edge images corresponding to the first frame detection signal. (a) Image recorded by detector when z=253.0 mm; (b) CS reconstruction results based on PSF measurement matrix at different detection distances; (c) edge images corresponding to (b)
    Image reconstruction results and edge images corresponding to the second frame detection signal. (a) Image recorded by detector when detection distance is z=254.0 mm; (b) CS reconstruction results based on PSF measurement matrix at different detection distances; (c) edge images corresponding to (b)
    Fig. 5. Image reconstruction results and edge images corresponding to the second frame detection signal. (a) Image recorded by detector when detection distance is z=254.0 mm; (b) CS reconstruction results based on PSF measurement matrix at different detection distances; (c) edge images corresponding to (b)
    Normalized IQEF curves obtained by two-frame detection signals
    Fig. 6. Normalized IQEF curves obtained by two-frame detection signals
    Curves of IQEF in different PSF searching steps
    Fig. 7. Curves of IQEF in different PSF searching steps
    Curves of IQEF in different axial distance differencesΔz
    Fig. 8. Curves of IQEF in different axial distance differencesΔz
    Validation of precision ranging algorithm based on orthogonal constraint. (a) Image reconstruction results without orthogonal constraint; (b) image reconstruction results with orthogonal constraint
    Fig. 9. Validation of precision ranging algorithm based on orthogonal constraint. (a) Image reconstruction results without orthogonal constraint; (b) image reconstruction results with orthogonal constraint
    Tomographic image reconstruction results based on TVAL3+OC in different tomographic steps. (a) Reconstruction results corresponding to PSFs of 252.45, 252.8, and 253.15 mm with a tomographic step of ΔL/4; (b) reconstruction results corresponding to PSFs of 252.62, 252.8, and 252.98 mm with a tomographic step of ΔL/8; (c) reconstruction results corresponding to PSFs of 252.71, 252.8, and 252.89 mm with a tomographic step of ΔL/16; (d) reconstruction results corresponding to PSFs of 252.755, 252.8, and 252.845 mm with a tomographic step of ΔL/32; (e) reconstruction results corresponding to PSFs of 252.778, 252.8, and 252.822 mm with a tomographic step of ΔL/64
    Fig. 10. Tomographic image reconstruction results based on TVAL3+OC in different tomographic steps. (a) Reconstruction results corresponding to PSFs of 252.45, 252.8, and 253.15 mm with a tomographic step of ΔL/4; (b) reconstruction results corresponding to PSFs of 252.62, 252.8, and 252.98 mm with a tomographic step of ΔL/8; (c) reconstruction results corresponding to PSFs of 252.71, 252.8, and 252.89 mm with a tomographic step of ΔL/16; (d) reconstruction results corresponding to PSFs of 252.755, 252.8, and 252.845 mm with a tomographic step of ΔL/32; (e) reconstruction results corresponding to PSFs of 252.778, 252.8, and 252.822 mm with a tomographic step of ΔL/64
    1: Initialize the penalty parameter βr0, u0, η0, the multiplier vr0, λ0, ρ0 and the starting values wr0, X0; input the iteration number k, the outer stopping threshold tout, the inner stopping threshold tinn
    2: While Xk+1-Xk2>tout do
    3: Set wr,0k+1=wk, X0k+1=Xk
    4: While Xk+1-Xk2>tinn do
    5: wrk+1wrk+1=shrikerXk; vrk; βrk ▷ TV-norm update via shrinkage-like formula
    6: Xk+1,μk+1Xk+1=Xk-αkdk ▷ Image update via Gradient descent formula
    7: End do
    8: vrk+1vrk+1=vrk-βrkrXk+1-wrk+1
    9: λk+1λk+1=λk-ukAXk+1-Y
    10: ρk+1ρk+1=ρk-ηkμk+1-ζ
    11: End do
    Table 1. TVAL3+OC algorithm scheme
    XoptPzE
    X247P245.51.25×10-4
    P254.56.23×10-5
    X253P245.51.40×10-4
    P254.52.19×10-5
    Table 2. Distance decoupling based on MSE evaluation
    Chunmiao Xu, Wenlin Gong. Passive Ranging and Refocusing Method Based on Two-Frame Detection Signals[J]. Acta Optica Sinica, 2025, 45(7): 0712002
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