Research Article

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

Table 3

Correlation coefficient comparison results between the MSF-MOACO algorithms and other algorithms.

ImageAlgorithm GCDIRTMBTR

MSF-MOACO 0.970 0.994 0.927 0.989 0.755
Xianghong et al. [1] 0.847 0.001 0.368 0.428 0.411
Cameraman Liu and Li [3] 0.988 0.688 0.665 0.652 0.659
Pai and Ruan [25] 0.616 0.532 0.421 0.546 0.462
Ouhsain and Hamza [12] 0.940 0.463 0.201 0.980 0.524

MSF-MOACO 0.979 0.979 0.904 0.974 0.951
Xianghong et al. [1] 0.915 0.001 0.493 0.516 0.444
Goldhill Liu and Li [3] 0.997 0.676 0.702 0.643 0.752
Pai and Ruan [25] 0.313 0.267 0.271 0.304 0.278
Ouhsain and Hamza [12] 0.955 0.423 0.322 0.975 0.563

MSF-MOACO 0.970 0.970 0.916 0.966 0.877
Xianghong et al. [1] 0.875 0.001 0.446 0.584 0.419
Lena Liu and Li [3] 0.986 0.686 0.641 0.666 0.683
Pai and Ruan [25] 0.535 0.435 0.332 0.527 0.374
Ouhsain and Hamza [12] 0.953 0.452 0.356 0.970 0.550

MSF-MOACO 0.924 0.968 0.847 0.962 0.875
Xianghong et al. [1] 0.912 0.001 0.518 0.518 0.492
Man Liu and Li [3] 0.990 0.683 0.689 0.636 0.766
Pai and Ruan [25] 0.374 0.316 0.287 0.334 0.292
Ouhsain and Hamza [12] 0.902 0.432 0.324 0.965 0.543