Blind Deblurring using Internal Patch Recurrence. Tomer Michaeli & Michal Irani Weizmann Institute

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1 Blind Deblurring using Internal Patch Recurrence Tomer Michaeli & Michal Irani Weizmann Institute

2 Scale Invariance in Natural Images Small patterns recur at different scales

3 Scale Invariance in Natural Images Small patterns recur at different scales

4 Scale Invariance in Natural Images Small patterns recur at different scales True for most patches in any natural image [Glasner et al. `09]

5 Scale Invariance in Natural Images Small patterns recur at different scales Fractal image compression [Barnsley & Sloan `87],... Single image super-resolution [Glasner et al. `09], [Freedman & Fattal `11], True for most patches in any natural image [Glasner et al. `09]

6 Scale Invariance in Natural Images Small patterns recur at different scales Fractal image compression [Barnsley & Sloan `87],... Single image super-resolution [Glasner et al. `09], [Freedman & Fattal `11], True for most patches in any natural image [Glasner et al. `09]

7 Scale Invariance in Natural Images Sharp Image

8 Scale Invariance in Natural Images Sharp Image Blurry Image

9 Scale Invariance in Natural Images Sharp Image Blurry Image

10 Scale Invariance in Natural Images Sharp Image Blurry Image Deviations from patch recurrence information on the blur

11 Scale Invariance in Natural Images Sharp Image Blurry Image Cue for Blind Deblurring

12 Blurry image y Blind Deblurring

13 Blind Deblurring Blurry image y Deblurring Sharp image x

14 Blind Deblurring Blurry image y Deblurring Sharp image x

15 Blind Deblurring Blurry image y Deblurring Sharp image x Examples of previous priors: Enhance/detect edges [Xu & Jia `10], [Cho & Lee `09], [Cho et al. `11], Sparse gradients [Levin et al. `11], [Krishnan et al. `11], External patch prior [Sun et al. `13]

16 Blind Deblurring Blurry image y Deblurring Sharp image x Examples of previous priors: Enhance/detect edges [Xu & Jia `10], [Cho & Lee `09], [Cho et al. `11], Sparse gradients [Levin et al. `11], [Krishnan et al. `11], External patch prior [Sun et al. `13] Cross-Scale Recurrence Strong Prior

17 Blind Deblurring Blurry image y Deblurring Sharp image x Blind Super Resolution [Michaeli & Irani `13] Cross-Scale Recurrence Strong Prior

18 Blind Deblurring Blurry image y Deblurring Sharp image x Blind Super Resolution [Michaeli & Irani `13] Blind Deblurring Cross-Scale Recurrence Strong Prior

19 Blind Deblurring Blurry image y Deblurring Sharp image x Blind Super Resolution [Michaeli & Irani `13] k = PSF Blind Deblurring Cross-Scale Recurrence Strong Prior

20 Blind Deblurring Blurry image y Deblurring Sharp image x k PSF Blind Super Resolution [Michaeli & Irani `13] k = PSF Blind Deblurring Cross-Scale Recurrence Strong Prior

21 Blind Deblurring Blurry image y Deblurring Sharp image x k PSF Blind Super Resolution [Michaeli & Irani `13] k = PSF Blind Deblurring Zoom-in by α Cross-Scale Recurrence Strong Prior

22 Blind Deblurring Blurry image y Deblurring Sharp image x k PSF Blind Super Resolution [Michaeli & Irani `13] k = PSF Blind Deblurring Zoom-in by α Cross-Scale Recurrence Strong Prior

23 Blind Deblurring Blurry image y Deblurring Sharp image x k PSF Blind Super Resolution [Michaeli & Irani `13] k = PSF Blind Deblurring Zoom-in by α Cross-Scale Recurrence Strong Prior

24 Blind Deblurring Blurry image y Deblurring Sharp image x k PSF Blind Super Resolution [Michaeli & Irani `13] k = PSF Blind Deblurring Zoom-in by α Regardless of the PSF!!! Cross-Scale Recurrence Strong Prior

25 Blurry image y Overview Deblurring Sharp image x

26 Blurry image y Overview Deblurring Sharp image x

27 Blurry image y Overview Deblurring Sharp image x Down-scaled image x α

28 Blurry image y Overview Deblurring Sharp image x Down-scaled image x α

29 Blurry image y Overview Deblurring Sharp image x Down-scaled image x α

30 Blurry image y Overview Deblurring Sharp image x Down-scaled image y α Down-scaled image x α

31 Blurry image y Overview Sharp image x Down-scaled image x α

32 Blurry image y Overview Sharp image x Down-scaled image x α

33 Blurry image y Overview Sharp image x undo k Down-scaled image x α

34 Blurry image y Overview Sharp image x undo k Correct blur k Maximizes patch similarity in x under sinc Down-scaled image x α

35 Blurry image y Overview Sharp image x undo k Correct blur k Maximizes patch similarity in x under sinc Down-scaled image x α

36 Blurry image y Overview Sharp image x undo k Correct blur k Maximizes patch similarity in x under sinc Down-scaled image x α

37 Blurry image y Overview

38 Blurry image y Overview

39 Blurry image y Overview

40 Blurry image y Overview α-times smaller blur

41 Blurry image y Overview α-times sharper α-times smaller blur

42 Blurry image y Overview desired α-times sharper α-times smaller blur

43 Blurry image y Overview desired α-times sharper α-times smaller blur The unknown sharp patches surface out in coarse scales of the blurry image!

44 Algorithm

45 Algorithm

46 Algorithm

47 Algorithm

48 Algorithm

49 Algorithm

50 Algorithm Pool of α-times sharper patches

51 Algorithm Pool of α-times sharper patches

52 Algorithm Pool of α-times sharper patches

53 Algorithm Pool of α-times sharper patches

54 Algorithm Pool of α-times sharper patches

55 Algorithm α-times sharper image Pool of α-times sharper patches

56 Algorithm α-times sharper image

57 Algorithm α-times sharper image

58 Algorithm

59 Algorithm α 2 times sharper patches

60 Algorithm α 2 times sharper patches

61 Algorithm

62 Algorithm

63 Algorithm =

64 Algorithm =

65 Algorithm

66 Algorithm

67 Algorithm

68 Algorithm

69 Algorithm

70 Algorithm

71 Results Dataset of [Sun et al. 13] images (80 sharp images x 8 blurs)

72 Results Dataset of [Sun et al. 13] images (80 sharp images x 8 blurs) Comparison to the state-of-the art: [1] Sun, Cho, Wang, Hays ICCP 2013 [2] Xu & Jia ECCV 2010 [3] Cho & Lee TOG 2009 [4] Cho, Paris, Horn, Freeman CVPR 2011 [5] Levin, Weiss, Durand, Freeman CVPR 2011 [6] Krishnan, Tay, Fergus CVPR 2011

73 Results Dataset of [Sun et al. 13] images (80 sharp images x 8 blurs) External patch prior Comparison to the state-of-the art: [1] Sun, Cho, Wang, Hays ICCP 2013 [2] Xu & Jia ECCV 2010 [3] Cho & Lee TOG 2009 [4] Cho, Paris, Horn, Freeman CVPR 2011 [5] Levin, Weiss, Durand, Freeman CVPR 2011 [6] Krishnan, Tay, Fergus CVPR 2011

74 Results Dataset of [Sun et al. 13] images (80 sharp images x 8 blurs) External patch prior Gradient sparsity prior Comparison to the state-of-the art: [1] Sun, Cho, Wang, Hays ICCP 2013 [2] Xu & Jia ECCV 2010 [3] Cho & Lee TOG 2009 [4] Cho, Paris, Horn, Freeman CVPR 2011 [5] Levin, Weiss, Durand, Freeman CVPR 2011 [6] Krishnan, Tay, Fergus CVPR 2011

75 Results Dataset of [Sun et al. 13] images (80 sharp images x 8 blurs) External patch prior Edge-based prior Gradient sparsity prior Comparison to the state-of-the art: [1] Sun, Cho, Wang, Hays ICCP 2013 [2] Xu & Jia ECCV 2010 [3] Cho & Lee TOG 2009 [4] Cho, Paris, Horn, Freeman CVPR 2011 [5] Levin, Weiss, Durand, Freeman CVPR 2011 [6] Krishnan, Tay, Fergus CVPR 2011

76 Results Dataset of [Sun et al. 13] images (80 sharp images x 8 blurs) External patch prior Edge-based prior Gradient sparsity prior Comparison to the state-of-the art: [1] Sun, Cho, Wang, Hays ICCP 2013 [2] Xu & Jia ECCV 2010 [3] Cho & Lee TOG 2009 [4] Cho, Paris, Horn, Freeman CVPR 2011 [5] Levin, Weiss, Durand, Freeman CVPR 2011 [6] Krishnan, Tay, Fergus CVPR 2011 Nonblind deblurring: Zoran & Weiss ICCV 2011

77 Results Relative error w.r.t. ground-truth kernel EEEEEE(EEEEEEEEEEEEEEEEEE kkkkkkkkkkkk) EEEEEE(GGGG kkkkkkkkkkkk)

78 Results Relative error w.r.t. ground-truth kernel EEEEEE(EEEEEEEEEEEEEEEEEE kkkkkkkkkkkk) EEEEEE(GGGG kkkkkkkkkkkk) Cho et al. Krishnan et al. Cho & Lee Levin et al. Xu & Jia Sun et al. Our Average Error Ratio

79 Results Relative error w.r.t. ground-truth kernel EEEEEE(EEEEEEEEEEEEEEEEEE kkkkkkkkkkkk) EEEEEE(GGGG kkkkkkkkkkkk) Cho et al. Krishnan et al. Cho & Lee Levin et al. Xu & Jia Sun et al. Our Average Error Ratio External patch prior

80 Results Relative error w.r.t. ground-truth kernel EEEEEE(EEEEEEEEEEEEEEEEEE kkkkkkkkkkkk) EEEEEE(GGGG kkkkkkkkkkkk) Cho et al. Krishnan et al. Cho & Lee Levin et al. Xu & Jia Sun et al. Our Average Error Ratio External patch prior Internal patch prior

81 Results Relative error w.r.t. ground-truth kernel EEEEEE(EEEEEEEEEEEEEEEEEE kkkkkkkkkkkk) EEEEEE(GGGG kkkkkkkkkkkk) Cho et al. Krishnan et al. Cho & Lee Levin et al. Xu & Jia Sun et al. Our Average Error Ratio

82 Blurry images

83 Our Method

84 Our Method

85 Levin et al.

86 Xu & Jia

87 Sun et al.

88 Our Method

89 Robustness

90 Robustness Worst-Case Error Ratio Cho et al. Krishnan et al. Cho & Lee Levin et al. Xu & Jia Sun et al. Our

91 Robustness Worst-Case Error Ratio Cho et al. Krishnan et al. Cho & Lee Levin et al. Xu & Jia Sun et al. Our Internal patch prior An image-specific prior

92 Robustness Generic priors Cho et al. Krishnan et al. Cho & Lee Levin et al. Xu & Jia Sun et al. Our Worst-Case Error Ratio Internal patch prior An image-specific prior

93 Worst Results Cho et al. Krishnan et al. Cho & Lee

94 Worst Results Xu & Jia Levin et al. Sun et al.

95 Worst Results Our

96 Summary Deviations from ideal patch recurrence cue for recovering the blur

97 Summary Deviations from ideal patch recurrence cue for recovering the blur Undoing the blur maximizes cross-scale similarity

98 Summary Deviations from ideal patch recurrence cue for recovering the blur Undoing the blur maximizes cross-scale similarity State-of-the art, robust blind-deblurring

99 Summary Deviations from ideal patch recurrence cue for recovering the blur Undoing the blur maximizes cross-scale similarity State-of-the art, robust blind-deblurring Image specific prior

100 Summary Deviations from ideal patch recurrence cue for recovering the blur Undoing the blur maximizes cross-scale similarity State-of-the art, robust blind-deblurring Image specific prior

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