Xinggui Xu, Hong Li, Bing Ran, Weihe Ren, Junrong Song. Turbulence-Blurred Target Restoration Algorithm with a Nonconvex Regularization Constraint[J]. Laser & Optoelectronics Progress, 2025, 62(2): 0237001

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- Laser & Optoelectronics Progress
- Vol. 62, Issue 2, 0237001 (2025)

Fig. 1. The framework of proposed algorithm

Fig. 2. Component results of LatLRSD. (a)‒(d) Original turbulence blur image O, low rank dictionary structural component *, hidden component * , and noise component *

Fig. 3. Iterative results of eigenvalues for LatLRSD. (a)‒(c) Singular value results corresponding to the noise component, low rank component, and hidden component in the low rank space decomposition at iteration numbers of #5, #25, #50, and #100

Fig. 4. Schematic diagrams of regularization constraint conditions. (a) MC constraint; (b) scaled GMC constraint

Fig. 5. The turbulence-degraded targets restoration results of non-convex regularization. (a)‒(b) Restoration results for non-convex objective functions in two different scenarios at iteration numbers of #5, #25, #50, and #100

Fig. 6. Original images. (a)‒(d) Flow field image, infrared turbulence image, long-range turbulence distortion image, and synthesized turbulence blur image
![Restoration results of algorithm of reference [12]](/Images/icon/loading.gif)
Fig. 7. Restoration results of algorithm of reference [12]
![Restoration results of algorithm of reference [16]](/Images/icon/loading.gif)
Fig. 8. Restoration results of algorithm of reference [16]
![Restoration results of algorithm of reference [18]](/Images/icon/loading.gif)
Fig. 9. Restoration results of algorithm of reference [18]
![Restoration results of algorithm of reference [20]](/Images/icon/loading.gif)
Fig. 10. Restoration results of algorithm of reference [20]

Fig. 11. Restoration results of proposed algorithm
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Table 1. Restoration evaluation results of Fig.6(a)
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Table 2. Restoration evaluation results of Fig.6(b)
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Table 3. Restoration evaluation results of Fig.6(c)
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Table 4. Restoration evaluation results of Fig.6(d)

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