Discrete Dynamics in Nature and Society

Research Article

Enhancing Matrix Completion Using a Modified Second-Order Total Variation

Table 2

PSNRSSIM results on 20 test images with different missing ratios by different algorithms.
  Missing ratio=70% Missing ratio=60%
  IRLS PSSV LTVNN SPC-TV SPC-QV Ours IRLS PSSV LTVNN SPC-TV SPC-QV Ours
1 27.580.802 27.880.821 29.320.902 29.140.86430.590.91031.960.936 29.110.869 29.350.882 30.410.935 29.840.88830.940.92433.550.965
2 21.340.586 21.430.593 23.370.768 23.500.71525.290.81925.250.838 22.610.712 22.670.700 24.220.833 24.340.78426.100.86826.230.888
3 22.030.596 22.120.606 24.290.804 24.700.76127.370.87928.730.922 23.120.709 23.800.730 25.440.868 25.780.82528.270.91129.960.949
4 19.870.470 20.190.487 21.950.645 21.550.59222.640.69222.600.728 20.900.610 20.790.596 22.490.736 22.010.68123.190.76823.210.800
5 22.770.630 23.250.644 24.670.755 24.710.73526.150.81626.040.829 23.980.735 24.220.742 25.440.824 25.410.80326.800.86427.000.882
6 22.720.623 22.560.609 24.550.766 24.860.74226.940.83827.130.861 23.690.721 23.940.716 25.530.833 25.690.80227.610.87527.850.895
7 20.760.582 20.910.592 22.640.804 23.110.73424.940.85225.240.887 21.980.704 22.210.702 23.570.865 24.040.79725.790.89026.450.929
8 24.260.683 24.140.689 25.480.839 26.860.80828.620.87927.850.882 25.560.782 26.210.788 26.680.886 28.110.85229.810.90629.140.917
9 20.400.558 20.330.557 22.010.687 22.140.66723.780.76223.680.784 21.370.674 21.280.665 22.730.769 22.850.74824.450.82424.550.846
10 23.390.621 23.250.614 25.090.730 25.340.73127.250.81627.540.838 24.260.717 24.480.725 25.960.805 26.190.80128.080.86728.610.888
11 19.190.539 19.600.571 21.690.798 21.530.69023.230.81023.290.850 20.690.669 20.680.662 22.520.856 22.360.75323.960.85324.070.894
12 17.870.525 17.920.528 19.800.696 19.950.65822.040.78022.410.800 18.890.642 19.120.654 20.660.784 20.890.74623.070.84523.570.865
13 24.690.619 24.640.616 27.070.783 26.830.74228.700.83329.220.864 25.690.731 25.730.719 27.810.843 27.510.80529.260.87530.110.906
14 24.000.668 23.890.666 25.530.777 25.940.76627.960.84727.920.861 25.120.760 25.250.765 26.490.842 26.960.83028.830.88929.030.905
15 23.440.595 23.710.605 25.640.735 25.380.70726.920.79127.110.814 24.480.704 24.490.700 26.220.800 25.930.77327.500.84228.040.870
16 19.730.545 19.720.546 21.430.750 21.920.69024.060.82524.540.868 20.850.666 21.040.658 22.410.826 22.810.76424.930.87225.670.913
17 19.760.514 19.590.504 21.940.704 21.960.65324.100.78724.740.835 20.760.634 20.940.630 22.860.789 22.890.73824.960.84425.750.885
18 20.120.555 19.960.543 22.110.748 22.670.70825.710.84627.100.898 20.980.659 21.760.675 23.390.827 23.840.78326.750.88928.430.932
19 21.830.604 21.720.599 23.630.809 24.350.75826.930.88927.760.927 22.780.715 23.640.721 24.950.877 25.590.82228.020.92029.130.953
20 20.270.577 20.380.584 22.010.748 22.210.70323.840.80623.200.812 21.410.695 21.630.693 22.890.823 23.190.77924.850.86124.220.868
  Missing ratio=55% Missing ratio=50%
  IRLS PSSV LTVNN SPC-TV SPC-QV Ours IRLS PSSV LTVNN SPC-TV SPC-QV Ours
1 29.450.887 29.980.905 30.870.946 30.060.89931.040.93034.030.973 29.900.901 30.740.923 31.470.957 30.460.91031.450.93734.760.978
2 22.910.750 23.210.745 24.530.859 24.750.81526.440.887 26.650.906 23.150.782 23.800.787 24.880.881 25.150.84226.840.90527.100.922
3 23.360.743 24.580.780 25.880.890 26.200.85028.660.92430.470.958 23.590.772 25.420.824 26.350.910 26.690.87329.040.93630.940.965
4 21.150.658 21.030.643 22.650.769 22.180.71823.340.79623.440.826 21.280.696 21.260.687 22.820.800 22.360.75323.560.82323.680.851
5 24.170.766 24.610.783 25.710.851 25.680.83027.060.88327.300.902 24.360.793 25.020.819 25.950.873 25.930.85427.310.90027.610.918
6 23.950.758 24.540.763 25.940.859 26.050.82927.900.89228.120.909 24.080.783 25.010.799 26.260.880 26.370.85228.120.90528.330.920
7 22.310.743 22.980.752 24.040.889 24.550.82426.210.90527.000.944 22.370.772 23.480.790 24.280.906 24.780.84826.400.91727.360.954
8 25.810.810 27.130.830 27.110.906 28.580.87530.040.91829.390.931 26.040.831 28.080.861 27.620.922 29.140.89230.490.92729.800.942
9 21.670.715 21.770.714 23.050.803 23.200.78324.770.84924.930.871 21.840.749 22.190.757 23.360.833 23.550.81525.090.87225.250.890
10 24.470.750 25.070.772 26.380.836 26.620.83228.450.88829.010.906 24.620.778 25.660.812 26.710.860 27.020.85828.810.90529.450.922
11 21.000.710 21.150.702 22.890.878 22.720.78124.290.87224.420.911 21.170.743 21.600.742 23.090.896 22.920.80624.460.88724.650.923
12 19.090.683 19.660.705 20.970.814 21.270.78223.440.86823.970.887 19.310.721 20.380.758 21.390.846 21.820.81823.990.89224.560.909
13 25.940.764 26.250.760 28.170.865 27.830.83029.580.89130.550.920 26.110.792 26.700.796 28.400.884 28.080.85129.800.90630.820.932
14 25.350.790 25.920.807 26.930.868 27.410.85729.190.90629.520.922 25.520.813 26.650.843 27.260.887 27.730.87629.490.91929.900.934
15 24.750.744 24.910.746 26.540.831 26.240.80627.850.86728.520.893 24.940.773 25.250.781 26.770.855 26.520.83228.120.88728.860.911
16 21.120.706 21.640.707 22.770.853 23.240.79525.290.89126.100.928 21.280.738 22.220.752 23.160.878 23.660.82525.690.90826.560.941
17 20.940.670 21.510.684 23.200.821 23.190.77025.200.86526.080.903 21.090.706 22.000.732 23.520.848 23.550.80425.510.88526.440.918
18 21.240.696 22.640.733 23.960.856 24.390.81627.180.90528.910.943 21.360.727 23.500.783 24.400.880 24.880.84427.600.92029.490.953
19 23.000.750 24.390.770 25.430.898 26.090.84828.440.93129.610.962 23.190.777 25.200.815 25.880.917 26.530.87128.670.94129.940.968
20 21.640.734 22.130.740 23.200.848 23.600.81325.230.88324.580.890 21.770.764 22.670.783 23.490.872 23.930.84025.580.90025.000.909