Research Article
Otsu Based Optimal Multilevel Image Thresholding Using Firefly Algorithm
Table 2
Comparison of the standard deviation, PSNR, SSIM, and CPU time obtained for test images.
| Test images | | Standard deviation | PSNR (dB) | SSIM | CPU time (sec) | BDFA | LFFA | FA | BDFA | LFFA | FA | BDFA | LFFA | FA | BDFA | LFFA | FA |
| Barbara | 2 | 0.00914 | 0.02582 | 0.01457 | 20.0652 | 25.1241 | 23.0627 | 0.8068 | 0.7540 | 0.7882 | 100.46 | 26.15 | 47.05 | 3 | 0.07482 | 0.06925 | 0.06679 | 22.0239 | 25.2267 | 24.1197 | 0.8371 | 0.8201 | 0.8300 | 163.05 | 41.26 | 43.14 | 4 | 0.50224 | 0.62528 | 0.27874 | 21.7727 | 23.1895 | 22.0257 | 0.8553 | 0.8227 | 0.8285 | 187.25 | 57.31 | 50.42 | 5 | 0.62903 | 0.80425 | 0.70422 | 24.8064 | 24.9632 | 25.0159 | 0.8368 | 0.8113 | 0.8328 | 258.15 | 45.25 | 73.02 |
| Lena | 2 | 0.02891 | 0.16251 | 0.07539 | 23.2027 | 27.1066 | 25.1176 | 0.8208 | 0.8011 | 0.8116 | 102.36 | 18.02 | 25.14 | 3 | 0.04903 | 0.27180 | 0.13850 | 20.9014 | 22.0823 | 20.9964 | 0.8489 | 0.8246 | 0.8310 | 142.47 | 31.78 | 61.03 | 4 | 0.31176 | 0.52319 | 0.38196 | 24.1167 | 25.2476 | 25.5752 | 0.8606 | 0.8165 | 0.8206 | 204.52 | 56.23 | 71.32 | 5 | 0.58319 | 0.83251 | 0.61698 | 23.2251 | 24.1466 | 23.2257 | 0.8847 | 0.8542 | 0.8729 | 291.02 | 69.22 | 108.13 |
| Cameraman | 2 | 0.00176 | 0.27810 | 0.07972 | 25.2568 | 25.7741 | 25.8820 | 0.8258 | 0.7736 | 0.8211 | 104.15 | 37.28 | 42.05 | 3 | 0.11874 | 0.29826 | 0.31709 | 23.2942 | 26.0523 | 24.0368 | 0.8432 | 0.7302 | 0.8400 | 131.42 | 51.35 | 60.15 | 4 | 0.73652 | 0.52111 | 0.37073 | 25.1117 | 27.2476 | 25.8852 | 0.8478 | 0.7533 | 0.8218 | 128.26 | 58.13 | 62.34 | 5 | 0.90362 | 0.70728 | 0.74130 | 26.0004 | 27.1168 | 26.4773 | 0.8633 | 0.8154 | 0.8206 | 142.43 | 55.28 | 70.51 |
| Living Room | 2 | 0.03782 | 0.12671 | 0.19542 | 22.0778 | 22.9625 | 23.1843 | 0.8004 | 0.7699 | 0.7804 | 305.35 | 118.15 | 136.04 | 3 | 0.07293 | 0.16729 | 0.21073 | 20.2699 | 22.9952 | 21.0424 | 0.8105 | 0.7811 | 0.7915 | 461.55 | 132.03 | 130.33 | 4 | 0.38791 | 0.50981 | 0.49611 | 24.9426 | 26.0731 | 25.5817 | 0.8422 | 0.8102 | 0.8200 | 604.46 | 146.21 | 172.49 | 5 | 0.82522 | 0.92351 | 0.99218 | 26.0774 | 26.4426 | 26.9936 | 0.8259 | 0.8246 | 0.8216 | 822.50 | 165.15 | 190.22 |
| Mandrill | 2 | 0.26681 | 0.38199 | 0.28541 | 23.1159 | 24.0052 | 24.1111 | 0.8077 | 0.7745 | 0.7835 | 89.37 | 52.11 | 54.27 | 3 | 0.27916 | 0.51029 | 0.39510 | 21.0002 | 22.1842 | 21.2943 | 0.8322 | 0.8004 | 0.8125 | 114.50 | 51.58 | 64.03 | 4 | 0.63441 | 0.73416 | 0.73170 | 24.1883 | 25.2952 | 24.7160 | 0.8421 | 0.7953 | 0.8386 | 172.24 | 59.13 | 72.44 | 5 | 0.83551 | 0.91282 | 0.90525 | 21.2683 | 22.0673 | 23.0662 | 0.8257 | 0.8104 | 0.7993 | 166.39 | 71.35 | 69.51 |
| Jet | 2 | 0.43203 | 0.69100 | 0.28023 | 23.9864 | 24.1578 | 24.0622 | 0.8414 | 0.8011 | 0.8268 | 79.03 | 43.35 | 41.50 | 3 | 0.55871 | 0.69261 | 0.63321 | 21.8552 | 21.9994 | 22.0523 | 0.8528 | 0.7793 | 0.8280 | 82.33 | 51.29 | 48.04 | 4 | 0.58352 | 0.83515 | 0.70527 | 26.0316 | 26.1481 | 26.1963 | 0.8234 | 0.7922 | 0.8003 | 97.15 | 74.22 | 84.52 | 5 | 0.62253 | 0.92614 | 0.88038 | 25.3806 | 26.0437 | 25.5280 | 0.8943 | 0.8317 | 0.8552 | 133.07 | 94.25 | 77.06 |
| Boat | 2 | 0.00256 | 0.13872 | 0.02923 | 23.7731 | 24.9962 | 25.0063 | 0.8018 | 0.7935 | 0.7825 | 59.35 | 42.55 | 51.12 | 3 | 0.02361 | 0.20018 | 0.06377 | 20.2579 | 21.2579 | 22.0774 | 0.8280 | 0.7847 | 0.7899 | 63.19 | 50.32 | 46.24 | 4 | 0.18389 | 0.41993 | 0.21950 | 21.6589 | 23.1843 | 24.1116 | 0.8146 | 0.8003 | 0.8002 | 89.04 | 62.13 | 70.13 | 5 | 0.20871 | 0.61923 | 0.37424 | 25.0227 | 26.7428 | 25.8125 | 0.8593 | 0.8331 | 0.8236 | 107.23 | 71.35 | 81.30 |
| Zebra | 2 | 0.10198 | 0.41092 | 0.20850 | 26.0424 | 27.3566 | 26.9431 | 0.8405 | 0.7999 | 0.8332 | 125.31 | 48.01 | 72.52 | 3 | 0.18378 | 0.57708 | 0.31114 | 27.1157 | 27.8841 | 27.3215 | 0.8305 | 0.8110 | 0.8206 | 91.26 | 50.19 | 42.16 | 4 | 0.18992 | 0.72119 | 0.50019 | 25.6428 | 27.0053 | 25.9092 | 0.8288 | 0.7845 | 0.8005 | 124.20 | 61.34 | 71.24 | 5 | 0.39346 | 0.90371 | 0.74930 | 25.7431 | 27.1579 | 26.0853 | 0.8500 | 0.8003 | 0.8367 | 152.43 | 73.15 | 80.26 |
| Snake | 2 | 0.00278 | 0.21309 | 0.04859 | 25.0723 | 25.1589 | 26.2786 | 0.8267 | 0.7945 | 0.8025 | 110.52 | 59.21 | 61.25 | 3 | 0.07820 | 0.40192 | 0.15428 | 20.6437 | 20.6318 | 21.2578 | 0.8725 | 0.8264 | 0.8226 | 136.11 | 62.25 | 82.19 | 4 | 0.13891 | 0.51223 | 0.28420 | 24.0628 | 24.9132 | 24.3337 | 0.8259 | 0.8077 | 0.8024 | 131.35 | 71.39 | 59.18 | 5 | 0.20182 | 0.98801 | 0.49110 | 22.1118 | 23.0075 | 22.9524 | 0.8551 | 0.8205 | 0.8366 | 148.52 | 83.11 | 93.40 |
| Fish | 2 | 0.00991 | 0.34992 | 0.00163 | 20.0732 | 22.7737 | 21.9966 | 0.8049 | 0.7883 | 0.7832 | 98.01 | 44.27 | 54.17 | 3 | 0.01831 | 0.71027 | 0.02679 | 24.0224 | 24.8512 | 25.0222 | 0.8166 | 0.7935 | 0.7903 | 105.39 | 51.44 | 67.35 | 4 | 0.01926 | 0.79926 | 0.03922 | 22.7874 | 24.1817 | 23.1570 | 0.8552 | 0.8154 | 0.8277 | 129.56 | 41.35 | 82.05 | 5 | 0.28919 | 0.90172 | 0.01749 | 25.0861 | 25.1119 | 25.0063 | 0.8729 | 0.8553 | 0.8260 | 131.03 | 77.51 | 90.18 |
| Star Fish | 2 | 0.02813 | 0.11162 | 0.01944 | 20.0004 | 22.5775 | 21.7269 | 0.8428 | 0.8032 | 0.8246 | 91.43 | 58.51 | 45.44 | 3 | 0.06321 | 0.30992 | 0.03792 | 20.4882 | 21.1583 | 22.0133 | 0.8333 | 0.8004 | 0.8022 | 116.30 | 58.03 | 77.02 | 4 | 0.21739 | 0.70018 | 0.13270 | 21.0632 | 22.2257 | 24.5721 | 0.8510 | 0.7994 | 0.8365 | 108.39 | 44.00 | 72.45 | 5 | 0.51910 | 0.92732 | 0.42680 | 23.1567 | 25.5004 | 26.1489 | 0.8371 | 0.8177 | 0.8024 | 111.59 | 81.25 | 69.30 |
| Sailor | 2 | 0.12763 | 0.93471 | 0.37703 | 20.7738 | 22.1268 | 21.2311 | 0.8248 | 0.8210 | 0.7937 | 93.51 | 46.29 | 55.03 | 3 | 0.28711 | 0.90182 | 0.52893 | 25.9125 | 25.9984 | 26.1489 | 0.8537 | 0.8422 | 0.8325 | 141.38 | 51.49 | 50.17 | 4 | 0.48291 | 0.98271 | 0.72279 | 23.3532 | 23.9552 | 25.1362 | 0.8440 | 0.8001 | 0.8228 | 127.51 | 70.14 | 68.47 | 5 | 0.71032 | 0.99013 | 0.93321 | 24.0284 | 25.0061 | 24.9958 | 0.8206 | 0.7990 | 0.7993 | 130.09 | 65.39 | 82.37 |
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