Journal of Optimization

Research Article

Image Watermarking Algorithm Based on Multiobjective Ant Colony Optimization and Singular Value Decomposition in Wavelet Domain

Table 2

Correlation coefficient comparison results between MSF-MOACO and SSF algorithms and other algorithms.
ImageAlgorithmSPGFCRCMSHSCHEQNRWCA
  MSF-MOACO 0.956 0.972 0.947 0.902 0.989 1 0.985 0.990 1.000 1.000
  SSF 0.726 0.907 0.894 0.729 0.976 1.000 0.959 0.958 0.998 0.997
Cameraman Xianghong et al. [1] 0.495 0.847 0.983 0.621 0.580 0.993 0.621 0.750 0.850 0.914
Liu and Li [3] 0.936 0.872 0.983 0.470 0.940 0.846 0.954 0.743 0.865 0.907
  Pai and Ruan [25] 0.407 0.898 0.975 0.537 0.697 0.989 0.474 0.504 0.867 0.924
  Ouhsain and Hamza [12] 0.710 0.840 0.881 0.775 0.653 0.982 0.920 0.532 0.860 0.902
  MSF-MOACO 0.935 0.957 0.935 0.959 0.984 1 0.975 0.972 0.998 1.000
  SSF 0.885 0.936 0.998 0.930 0.950 1.000 0.977 0.965 0.995 0.999
Goldhill Xianghong et al. [1] 0.694 0.858 0.983 0.633 0.713 0.986 0.440 0.570 0.850 0.914
Liu and Li [3] 0.947 0.906 0.980 0.545 0.951 0.870 0.974 0.714 0.867 0.918
  Pai and Ruan [25] 0.374 0.827 0.976 0.293 0.370 0.926 0.313 0.220 0.867 0.912
  Ouhsain and Hamza [12] 0.789 0.835 0.852 0.796 0.675 0.978 0.950 0.523 0.850 0.925
  MSF-MOACO 0.933 0.974 0.918 0.948 0.976 0.999 0.974 0.967 1.000 1.000
  SSF 0.774 0.943 0.867 0.944 0.982 1.000 0.988 0.974 0.998 0.995
Lena Xianghong et al. [1] 0.616 0.866 0.983 0.640 0.667 0.994 0.587 0.625 0.850 0.914
Liu and Li [3] 0.926 0.845 0.953 0.541 0.952 0.826 0.987 0.716 0.863 0.912
  Pai and Ruan [25] 0.383 0.920 0.980 0.442 0.681 0.994 0.514 0.393 0.867 0.918
  Ouhsain and Hamza [12] 0.769 0.882 0.853 0.775 0.685 0.983 0.962 0.546 0.849 0.936
  MSF-MOACO 0.932 0.952 0.964 0.978 0.966 1.000 0.972 0.970 1 1.000
  SSF 0.588 0.845 0.930 0.905 0.949 0.999 0.977 0.963 0.990 0.998
Man Xianghong et al. [1] 0.738 0.876 0.983 0.641 0.692 0.993 0.828 0.456 0.850 0.914
Liu and Li [3] 0.944 0.876 0.994 0.532 0.966 0.845 0.983 0.803 0.865 0.915
  Pai and Ruan [25] 0.412 0.866 0.981 0.324 0.432 0.983 0.468 0.282 0.867 0.920
  Ouhsain and Hamza [12] 0.745 0.812 0.890 0.756 0.632 0.985 0.945 0.556 0.875 0.952