Laser & Optoelectronics Progress, Volume. 57, Issue 6, 061505(2020)
Super-Resolution Reconstruction Algorithm Based on Adaptive Image Online Dictionary Learning
Figures & Tables(13)
Fig. 3. Comparison of reconstruction for different images when the magnification factor is 2. (a) Baby; (b Lenna; (c) butterfly
Fig. 4. Comparison of reconstruction for image of baby when the magnification factor is 3
Fig. 5. Comparison of reconstruction for image of baby when the magnification factor is 4
Fig. 6. Comparison of reconstruction under Gaussian noise environment with variance of 0.0005
Fig. 7. Comparison of reconstruction under pepper & salt noise environment with density of 0.001
Table 1. Numerical comparison of reconstruction for different images when the magnification factor is 2
View tableTable 1. Numerical comparison of reconstruction for different images when the magnification factor is 2
Method Evaluation index Baby Lenna Butterfly Subway Man Bike Baboon Monarch RMSE 4.157 5.455 12.572 10.009 10.213 15.479 17.337 6.673 Bicubic PSNR 37.059 34.713 27.462 29.440 29.261 25.657 24.674 32.958 SSIM 0.951 0.911 0.915 0.871 0.845 0.850 0.696 0.959 RMSE 4.622 12.108 15.991 11.624 10.926 21.070 19.442 7.543 NE PSNR 36.889 28.669 26.559 27.416 28.291 21.657 22.589 31.211 SSIM 0.893 0.788 0.737 0.753 0.786 0.591 0.505 0.882 RMSE 3.601 4.561 7.836 8.623 8.863 11.357 16.157 4.701 Ours1 PSNR 38.384 36.299 31.572 30.802 30.500 28.401 25.286 36.031 SSIM 0.963 0.927 0.958 0.908 0.880 0.914 0.759 0.970 RMSE 3.603 4.574 7.845 8.520 8.881 11.486 16.141 4.718 Ours2 PSNR 38.351 36.276 31.562 30.846 30.483 28.322 25.295 35.996 SSIM 0.963 0.926 0.958 0.909 0.880 0.9127 0.759 0.971 RMSE 3.605 4.571 7.843 8.564 8.854 11.414 16.148 4.675 Ours3 PSNR 38.360 36.280 31.563 30.850 30.508 28.353 25.291 36.079 SSIM 0.963 0.926 0.958 0.910 0.880 0.914 0.760 0.971
Table 2. Numerical comparison of reconstruction for different images when the magnification factor is 2
View tableTable 2. Numerical comparison of reconstruction for different images when the magnification factor is 2
Method Evaluation index Baby Lenna Butterfly Subway Man Bike Baboon Monarch RMSE 3.656 4.631 7.911 8.696 8.885 11.619 16.218 5.145 ScSr1[ 14 ]PSNR 38.262 36.215 31.502 30.707 30.484 28.207 25.269 35.300 SSIM 0.961 0.925 0.956 0.906 0.878 0.910 0.757 0.967 RMSE 3.633 4.593 7.884 8.672 8.866 11.594 16.185 5.104 ODL1[ 17 ]PSNR 38.270 36.239 31.518 30.738 30.497 28.226 25.272 35.309 SSIM 0.962 0.926 0.957 0.907 0.879 0.911 0.758 0.968 RMSE 3.601 4.561 7.836 8.623 8.863 11.357 16.157 4.701 Ours1 PSNR 38.384 36.299 31.572 30.802 30.500 28.401 25.286 36.031 SSIM 0.963 0.927 0.958 0.908 0.880 0.914 0.759 0.97 RMSE 3.693 4.692 8.268 8.802 8.995 12.295 16.173 4.881 ScSr2[ 14 ]PSNR 38.205 36.083 31.158 30.571 30.377 27.796 25.277 35.762 SSIM 0.961 0.921 0.955 0.903 0.876 0.903 0.757 0.969 RMSE 3.651 4.652 8.108 8.776 8.986 12.282 16.167 4.834 ODL2[ 17 ]PSNR 38.231 36.127 31.274 30.592 30.385 27.801 25.281 35.785 SSIM 0.962 0.925 0.956 0.905 0.877 0.904 0.758 0.970 RMSE 3.603 4.574 7.845 8.520 8.881 11.486 16.141 4.718 Ours2 PSNR 38.351 36.296 31.562 30.846 30.483 28.322 25.295 35.996 SSIM 0.963 0.926 0.958 0.909 0.880 0.9127 0.759 0.971 RMSE 3.751 4.801 9.309 8.982 9.385 12.963 16.179 5.479 ScSr3[ 14 ]PSNR 38.080 35.887 30.043 30.415 30.134 27.206 25.283 34.791 SSIM 0.960 0.923 0.942 0.901 0.874 0.895 0.758 0.966 RMSE 3.707 4.768 9.235 8.966 9.220 12.944 16.154 5.406 ODL3[ 17 ]PSNR 38.106 35.912 30.145 30.440 30.157 27.214 25.288 34.810 SSIM 0.961 0.924 0.948 0.902 0.875 0.896 0.759 0.967 RMSE 3.605 4.571 7.843 8.564 8.854 11.414 16.148 4.675 Ours3 PSNR 38.360 36.290 31.563 30.850 30.508 28.353 25.291 36.079 SSIM 0.963 0.926 0.958 0.910 0.880 0.914 0.760 0.971
Table 3. Numerical comparison of reconstruction for different images when the magnification factor is 3
View tableTable 3. Numerical comparison of reconstruction for different images when the magnification factor is 3
Method Evaluation index Baby Man Butterfly Baboon RMSE 5.956 13.206 18.611 20.992 Bicubic PSNR 33.941 27.032 24.056 23.013 SSIM 0.904 0.749 0.819 0.543 RMSE 6.774 14.115 19.013 22.873 NE PSNR 30.857 23.902 21.667 21.584 SSIM 0.881 0.706 0.798 0.610 RMSE 5.541 12.345 15.549 20.601 ScSr1[ 14 ]PSNR 34.607 27.627 25.619 23.136 SSIM 0.914 0.781 0.858 0.590 RMSE 5.518 12.322 15.523 20.555 ODL1[ 17 ]PSNR 34.626 27.639 25.635 23.197 SSIM 0.915 0.782 0.859 0.591 RMSE 5.395 12.174 15.321 20.224 Ours1 PSNR 34.823 27.744 25.749 23.338 SSIM 0.920 0.784 0.865 0.600 RMSE 5.447 12.473 15.649 20.440 ScSr2[ 14 ]PSNR 34.709 27.711 25.535 23.242 SSIM 0.917 0.781 0.858 0.593 RMSE 5.459 12.190 15.621 20.418 ODL2[ 17 ]PSNR 34.720 27.732 25.579 23.255 SSIM 0.916 0.782 0.859 0.594 RMSE 5.395 12.104 15.501 20.224 Ours2 PSNR 34.823 27.793 25.648 23.338 SSIM 0.920 0.784 0.863 0.600 RMSE 5.577 12.202 15.700 20.663 ScS3[ 14 ]PSNR 34.589 27.729 25.539 23.168 SSIM 0.912 0.782 0.856 0.588 RMSE 5.540 12.186 15.689 20.615 ODL3[ 17 ]PSNR 34.592 27.735 25.541 23.171 SSIM 0.913 0.783 0.857 0.589 RMSE 5.513 12.172 15.520 20.576 Ours3 PSNR 34.636 27.745 25.636 23.187 SSIM 0.915 0.784 0.861 0.591
Table 4. Comparison of reconstruction for different images when the magnification factor is 4
View tableTable 4. Comparison of reconstruction for different images when the magnification factor is 4
Method Evaluation index Baby Man Butterfly Baboon RMSE 7.601 15.334 23.192 22.934 Bicubic PSNR 31.828 25.734 22.145 22.244 SSIM 0.857 0.676 0.734 0.451 RMSE 7.083 15.993 24.850 22.663 NE PSNR 31.880 25.002 21.785 22.291 SSIM 0.858 0.605 0.690 0.473 RMSE 6.773 14.258 21.263 22.601 ScSr1[ 14 ]PSNR 32.864 26.447 22.905 22.378 SSIM 0.876 0.711 0.754 0.490 RMSE 6.751 14.203 21.218 22.512 ODL1[ 17 ]PSNR 32.872 26.450 22.919 22.407 SSIM 0.877 0.712 0.755 0.491 RMSE 6.735 14.109 21.040 22.497 Ours1 PSNR 32.893 26.462 22.992 22.413 SSIM 0.878 0.713 0.757 0.492 RMSE 6.747 14.488 21.091 22.552 ScSr2[ 14 ]PSNR 32.859 26.239 22.970 22.009 SSIM 0.876 0.705 0.755 0.490 RMSE 6.756 14.464 21.084 22.521 ODL2[ 17 ]PSNR 32.865 26.247 22.973 22.103 SSIM 0.877 0.706 0.756 0.491 RMSE 6.738 14.184 21.043 22.478 Ours2 PSNR 32.888 26.416 22.990 22.420 SSIM 0.878 0.713 0.763 0.492 RMSE 6.761 14.258 21.147 22.528 ScS3[ 14 ]PSNR 32.874 26.380 22.949 22.401 SSIM 0.876 0.710 0.754 0.490 RMSE 6.739 14.217 21.128 22.513 ODL3[ 17 ]PSNR 32.886 26.396 22.956 22.407 SSIM 0.877 0.711 0.755 0.491 RMSE 6.681 14.195 20.963 22.371 Ours3 PSNR 32.962 26.409 23.025 22.462 SSIM 0.880 0.713 0.763 0.495
Table 5. Numerical comparison of reconstruction under different Gaussian noise environment
View tableTable 5. Numerical comparison of reconstruction under different Gaussian noise environment
Variance Evaluation index Bicubic NE ScSr1 ODL1 Ours1 ScSr2 ODL2 Ours2 ScSr3 ODL3 Ours3 RMSE 5.455 12.108 4.604 4.593 4.561 4.660 4.652 4.574 4.775 4.768 4.571 0 PSNR 34.713 28.669 36.231 36.239 36.299 36.119 36.127 36.276 35.907 35.912 36.280 SSIM 0.911 0.788 0.925 0.926 0.927 0.924 0.925 0.926 0.923 0.924 0.926 RMSE 6.942 7.001 5.903 5.889 5.727 6.386 6.377 6.244 6.597 6.584 6.261 0.0002 PSNR 32.622 30.757 34.057 34.068 34.309 33.368 33.372 33.556 33.088 33.092 33.532 SSIM 0.908 0874 0.928 0.929 0.932 0.883 0.884 0.885 0.882 0.883 0.886 RMSE 7.480 7.992 7.490 7.477 7.465 7.583 7.542 7.487 7.731 7.695 7.463 0.0005 PSNR 31.973 20.662 31.971 31.986 31.996 31.906 31.911 31.973 31.724 31.736 32.001 SSIM 0.869 0.831 0.820 0.821 0.824 0.821 0.822 0.823 0.821 0.822 0.824
Table 6. Numerical comparison of reconstruction under different pepper & salt noise environment
View tableTable 6. Numerical comparison of reconstruction under different pepper & salt noise environment
Density Evaluation index Bicubic NE ScSr1 ODL1 Ours1 ScSr2 ODL2 Ours2 ScSr3 ODL3 Ours3 RMSE 5.455 12.108 4.697 4.593 4.561 4.673 4.652 4.574 4.787 4.768 4.571 0 PSNR 34.713 28.669 36.231 36.239 36.299 36.114 36.127 36.276 35.906 35.912 36.280 SSIM 0.911 0.788 0.925 0.926 0.927 0.924 0.925 0.926 0.923 0.924 0.926 RMSE 6.969 7.145 5.902 5.888 5.821 5.895 5.889 5.727 6.501 6.486 6.084 0.0005 PSNR 32.588 32.077 34.057 34.066 34.165 34.059 34.068 34.309 33.219 33.228 33.783 SSIM 0.906 0.873 0.927 0.928 0.929 0.928 0.929 0.932 0.922 0.923 0.929 RMSE 7.305 7.661 6.872 6.844 6.799 7.101 7.066 6.964 7.165 7.159 6.862 0.001 PSNR 32.181 31.877 32.757 32.761 32.817 32.473 32.480 32.607 32.359 32.365 32.737 SSIM 0.900 0.843 0.916 0.917 0.918 0.912 0.913 0.915 0.912 0.913 0.918
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Deqiang Cheng, Wenjie Yu, Xin Guo, Huandong Zhuang, Xinzhu Fu. Super-Resolution Reconstruction Algorithm Based on Adaptive Image Online Dictionary Learning[J]. Laser & Optoelectronics Progress, 2020, 57(6): 061505
Paper Information
Category: Machine Vision
Received: Aug. 3, 2019
Accepted: Sep. 2, 2019
Published Online: Mar. 6, 2020
The Author Email: Deqiang Cheng (chengdq@cumt.edu.cn), Wenjie Yu (wjyu@cumt.edu.dn)
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