Fig. 1. Atmospheric scattering model

Fig. 2. Lazy random walk model

Fig. 3. Simulate library with fog. (a) Input image; (b) standard image

Fig. 4. Simulate library with fog and noise. (a) Input image; (b) standard image

Fig. 5. Results of proposed algorithm for path with different λ. (a) λ=1; (b) λ=5; (c) λ=10

Fig. 6. Results of proposed algorithm for trees with different λ. (a) λ=1; (b) λ=5; (c) λ=10

Fig. 7. Plant. (a) Input image; (b) defogging result in reference [18]; (c) defogging result in reference [19]; (d) defogging result of proposed algorithm

Fig. 8. Doll. (a) Input image; (b) defogging result in reference [18]; (c) defogging result in reference [19]; (d) defogging result of proposed algorithm

Fig. 9. Zoomed-in view of plant. (a) Input image; (b) defogging result in reference [18]; (c) defogging result in reference [19]; (d) defogging result of proposed algorith

Fig. 10. Zoomed-in view of doll. (a) Input image; (b) defogging result in reference [18]; (c) defogging result in reference [19]; (d) defogging result of proposed algorithm

Fig. 11. Corner. (a) Input image; (b) defogging result in reference [18]; (c) defogging result in reference [19]; (d) defogging result of proposed algorithm

Fig. 12. Building. (a) Input image; (b) defogging result in reference [18]; (c) defogging result in reference [19]; (d) defogging result of proposed algorithm

Fig. 13. Zoomed-in view of corner. (a) Input image; (b) defogging result in reference [18]; (c) defogging result in reference [19]; (d) defogging result of proposed algorithm

Fig. 14. Zoomed-in view of building. (a) Input image; (b) defogging result in reference [18]; (c) defogging result in reference [19]; (d) defogging result of proposed algorithm

Fig. 15. Path. (a) Input image; (b) defogging result in reference [18]; (c) defogging result in reference [19]; (d) defogging result of proposed algorithm

Fig. 16. River bank. (a) Input image; (b) defogging result in reference [18]; (c) defogging result in reference [19]; (d) defogging result of proposed algorithm

Fig. 17. Zoomed-in view of path. (a) Input image; (b) defogging result in reference [18]; (c) defogging result in reference [19]; (d) defogging result of proposed algorithm

Fig. 18. Zoomed-in view of river bank. (a) Input image; (b) defogging result in reference [18]; (c) defogging result in reference [19]; (d) defogging result of proposed algorithm

Fig. 19. Quality evaluation of defogging results obtained in references [18] and [19], and results of proposed algorithm. (a) VDI; (b) PSNR