Table 6.
UQI values under Kapur’s entropy.
| img | T | HSMA_WOA | SMA | FFA [39] |
WOA [33] |
SSA [60] |
HHA [38] |
LShade [59] |
Img | HSMA_WOA | SMA | FFA [39] |
WOA [33] |
SSA [60] |
HHA [38] |
LShade [59] |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| X1 | 2 | 0.7479 | 0.7479 | 0.7478 | 0.7477 | 0.7479 | 0.7479 | 0.7262 | X7 | 0.8641 | 0.8729 | 0.8729 | 0.8641 | 0.8729 | 0.8729 | 0.8647 |
| 3 | 0.8760 | 0.8760 | 0.8761 | 0.8760 | 0.8760 | 0.8764 | 0.8590 | 0.9042 | 0.9042 | 0.9042 | 0.9042 | 0.9042 | 0.9042 | 0.8844 | ||
| 4 | 0.9260 | 0.9259 | 0.9263 | 0.9258 | 0.9264 | 0.9255 | 0.9004 | 0.9380 | 0.9383 | 0.9379 | 0.9380 | 0.9379 | 0.9383 | 0.9126 | ||
| 5 | 0.9538 | 0.9537 | 0.9553 | 0.9539 | 0.9550 | 0.9536 | 0.9285 | 0.9590 | 0.9593 | 0.9582 | 0.9590 | 0.9583 | 0.9590 | 0.9438 | ||
| 6 | 0.9671 | 0.9668 | 0.9681 | 0.9669 | 0.9661 | 0.9666 | 0.9378 | 0.9673 | 0.9672 | 0.9662 | 0.9675 | 0.9665 | 0.9671 | 0.9398 | ||
| 7 | 0.9752 | 0.9727 | 0.9742 | 0.9755 | 0.9755 | 0.9738 | 0.9512 | 0.9700 | 0.9718 | 0.9698 | 0.9697 | 0.9692 | 0.9701 | 0.9571 | ||
| 8 | 0.9758 | 0.9777 | 0.9796 | 0.9765 | 0.9794 | 0.9760 | 0.9583 | 0.9734 | 0.9732 | 0.9713 | 0.9734 | 0.9721 | 0.9722 | 0.9583 | ||
| 9 | 0.9804 | 0.9796 | 0.9831 | 0.9800 | 0.9827 | 0.9792 | 0.9670 | 0.9757 | 0.9745 | 0.9727 | 0.9756 | 0.9734 | 0.9752 | 0.9610 | ||
| 10 | 0.9830 | 0.9836 | 0.9862 | 0.9832 | 0.9853 | 0.9821 | 0.9734 | 0.9776 | 0.9771 | 0.9745 | 0.9769 | 0.9745 | 0.9767 | 0.9619 | ||
| 15 | 0.9925 | 0.9926 | 0.9931 | 0.9926 | 0.9933 | 0.9918 | 0.9838 | 0.9825 | 0.9824 | 0.9797 | 0.9824 | 0.9793 | 0.9798 | 0.9723 | ||
| 20 | 0.9954 | 0.9952 | 0.9955 | 0.9953 | 0.9958 | 0.9941 | 0.9908 | 0.9845 | 0.9845 | 0.9832 | 0.9842 | 0.9818 | 0.9827 | 0.9788 | ||
| 30 | 0.9971 | 0.9974 | 0.9972 | 0.9971 | 0.9975 | 0.9964 | 0.9944 | 0.9867 | 0.9861 | 0.9854 | 0.9861 | 0.9850 | 0.9858 | 0.9841 | ||
| X2 | 2 | 0.8263 | 0.8263 | 0.8263 | 0.8263 | 0.8263 | 0.8263 | 0.7989 | X8 | 0.7406 | 0.7406 | 0.7406 | 0.7406 | 0.7406 | 0.7406 | 0.7506 |
| 3 | 0.9181 | 0.9181 | 0.9180 | 0.9181 | 0.9180 | 0.9180 | 0.8696 | 0.9064 | 0.9063 | 0.9065 | 0.9064 | 0.9063 | 0.9066 | 0.8912 | ||
| 4 | 0.9248 | 0.9248 | 0.9244 | 0.9251 | 0.9244 | 0.9250 | 0.8966 | 0.9338 | 0.9337 | 0.9312 | 0.9329 | 0.9361 | 0.9372 | 0.9108 | ||
| 5 | 0.9532 | 0.9533 | 0.9524 | 0.9534 | 0.9527 | 0.9531 | 0.9137 | 0.9541 | 0.9537 | 0.9491 | 0.9529 | 0.9478 | 0.9543 | 0.9308 | ||
| 6 | 0.9639 | 0.9631 | 0.9627 | 0.9639 | 0.9627 | 0.9640 | 0.9243 | 0.9666 | 0.9650 | 0.9622 | 0.9662 | 0.9614 | 0.9659 | 0.9375 | ||
| 7 | 0.9653 | 0.9666 | 0.9640 | 0.9654 | 0.9643 | 0.9656 | 0.9438 | 0.9713 | 0.9704 | 0.9695 | 0.9714 | 0.9699 | 0.9714 | 0.9457 | ||
| 8 | 0.9781 | 0.9779 | 0.9737 | 0.9782 | 0.9746 | 0.9778 | 0.9427 | 0.9783 | 0.9779 | 0.9730 | 0.9771 | 0.9735 | 0.9767 | 0.9588 | ||
| 9 | 0.9819 | 0.9815 | 0.9798 | 0.9822 | 0.9792 | 0.9812 | 0.9618 | 0.9820 | 0.9811 | 0.9772 | 0.9815 | 0.9770 | 0.9815 | 0.9643 | ||
| 10 | 0.9845 | 0.9842 | 0.9817 | 0.9840 | 0.9818 | 0.9831 | 0.9647 | 0.9854 | 0.9838 | 0.9797 | 0.9848 | 0.9786 | 0.9841 | 0.9572 | ||
| 15 | 0.9924 | 0.9923 | 0.9887 | 0.9922 | 0.9884 | 0.9913 | 0.9732 | 0.9893 | 0.9893 | 0.9844 | 0.9885 | 0.9865 | 0.9884 | 0.9796 | ||
| 20 | 0.9952 | 0.9947 | 0.9924 | 0.9954 | 0.9912 | 0.9936 | 0.9861 | 0.9935 | 0.9918 | 0.9890 | 0.9932 | 0.9880 | 0.9910 | 0.9834 | ||
| 30 | 0.9975 | 0.9973 | 0.9945 | 0.9976 | 0.9946 | 0.9958 | 0.9916 | 0.9966 | 0.9959 | 0.9943 | 0.9965 | 0.9935 | 0.9949 | 0.9907 | ||
| X3 | 2 | 0.7345 | 0.7345 | 0.7345 | 0.7345 | 0.7345 | 0.7345 | 0.7353 | X9 | 0.8269 | 0.8269 | 0.8269 | 0.8269 | 0.8269 | 0.8269 | 0.8227 |
| 3 | 0.8029 | 0.8027 | 0.8032 | 0.8029 | 0.8029 | 0.8029 | 0.8111 | 0.9160 | 0.9160 | 0.9160 | 0.9160 | 0.9160 | 0.9160 | 0.9103 | ||
| 4 | 0.8801 | 0.8790 | 0.8806 | 0.8790 | 0.8806 | 0.8804 | 0.8546 | 0.9528 | 0.9527 | 0.9525 | 0.9527 | 0.9525 | 0.9527 | 0.9358 | ||
| 5 | 0.9125 | 0.9130 | 0.9202 | 0.9106 | 0.9193 | 0.9093 | 0.8676 | 0.9608 | 0.9607 | 0.9593 | 0.9605 | 0.9598 | 0.9604 | 0.9503 | ||
| 6 | 0.9605 | 0.9576 | 0.9604 | 0.9605 | 0.9600 | 0.9603 | 0.9105 | 0.9732 | 0.9733 | 0.9730 | 0.9733 | 0.9729 | 0.9731 | 0.9569 | ||
| 7 | 0.9653 | 0.9649 | 0.9706 | 0.9654 | 0.9695 | 0.9646 | 0.9153 | 0.9795 | 0.9794 | 0.9783 | 0.9794 | 0.9781 | 0.9794 | 0.9679 | ||
| 8 | 0.9783 | 0.9747 | 0.9809 | 0.9775 | 0.9806 | 0.9765 | 0.9354 | 0.9833 | 0.9836 | 0.9821 | 0.9835 | 0.9815 | 0.9835 | 0.9706 | ||
| 9 | 0.9849 | 0.9816 | 0.9849 | 0.9844 | 0.9851 | 0.9843 | 0.9404 | 0.9864 | 0.9861 | 0.9848 | 0.9864 | 0.9841 | 0.9857 | 0.9739 | ||
| 10 | 0.9867 | 0.9860 | 0.9874 | 0.9863 | 0.9877 | 0.9861 | 0.9579 | 0.9888 | 0.9890 | 0.9871 | 0.9889 | 0.9871 | 0.9887 | 0.9738 | ||
| 15 | 0.9916 | 0.9921 | 0.9935 | 0.9907 | 0.9936 | 0.9912 | 0.9760 | 0.9939 | 0.9941 | 0.9934 | 0.9929 | 0.9929 | 0.9921 | 0.9844 | ||
| 20 | 0.9940 | 0.9950 | 0.9964 | 0.9936 | 0.9963 | 0.9934 | 0.9819 | 0.9963 | 0.9962 | 0.9952 | 0.9955 | 0.9949 | 0.9942 | 0.9909 | ||
| 30 | 0.9971 | 0.9978 | 0.9983 | 0.9967 | 0.9983 | 0.9968 | 0.9912 | 0.9981 | 0.9979 | 0.9970 | 0.9977 | 0.9973 | 0.9971 | 0.9949 | ||
| X4 | 2 | 0.7793 | 0.7793 | 0.7793 | 0.7770 | 0.7793 | 0.7793 | 0.7374 | X10 | 0.8214 | 0.8214 | 0.8214 | 0.8216 | 0.8214 | 0.8217 | 0.7919 |
| 3 | 0.8818 | 0.8818 | 0.8818 | 0.8818 | 0.8818 | 0.8819 | 0.8067 | 0.9120 | 0.9120 | 0.9120 | 0.9121 | 0.9120 | 0.9120 | 0.8731 | ||
| 4 | 0.9376 | 0.9377 | 0.9376 | 0.9377 | 0.9367 | 0.9369 | 0.8665 | 0.9419 | 0.9422 | 0.9422 | 0.9425 | 0.9426 | 0.9421 | 0.9078 | ||
| 5 | 0.9552 | 0.9548 | 0.9527 | 0.9551 | 0.9531 | 0.9551 | 0.9100 | 0.9610 | 0.9610 | 0.9602 | 0.9611 | 0.9602 | 0.9610 | 0.9137 | ||
| 6 | 0.9670 | 0.9670 | 0.9643 | 0.9668 | 0.9646 | 0.9665 | 0.9163 | 0.9714 | 0.9715 | 0.9701 | 0.9719 | 0.9699 | 0.9714 | 0.9298 | ||
| 7 | 0.9733 | 0.9735 | 0.9714 | 0.9734 | 0.9700 | 0.9712 | 0.9284 | 0.9766 | 0.9769 | 0.9748 | 0.9763 | 0.9741 | 0.9762 | 0.9352 | ||
| 8 | 0.9764 | 0.9767 | 0.9740 | 0.9764 | 0.9729 | 0.9757 | 0.9377 | 0.9805 | 0.9812 | 0.9794 | 0.9808 | 0.9797 | 0.9798 | 0.9533 | ||
| 9 | 0.9789 | 0.9782 | 0.9756 | 0.9762 | 0.9767 | 0.9780 | 0.9477 | 0.9849 | 0.9852 | 0.9836 | 0.9849 | 0.9829 | 0.9837 | 0.9552 | ||
| 10 | 0.9813 | 0.9808 | 0.9780 | 0.9809 | 0.9782 | 0.9797 | 0.9532 | 0.9886 | 0.9879 | 0.9852 | 0.9884 | 0.9854 | 0.9873 | 0.9629 | ||
| 15 | 0.9883 | 0.9873 | 0.9845 | 0.9881 | 0.9824 | 0.9874 | 0.9684 | 0.9935 | 0.9932 | 0.9920 | 0.9933 | 0.9923 | 0.9913 | 0.9694 | ||
| 20 | 0.9912 | 0.9901 | 0.9884 | 0.9905 | 0.9854 | 0.9894 | 0.9744 | 0.9963 | 0.9954 | 0.9945 | 0.9960 | 0.9949 | 0.9945 | 0.9838 | ||
| 30 | 0.9931 | 0.9918 | 0.9908 | 0.9926 | 0.9907 | 0.9921 | 0.9857 | 0.9972 | 0.9972 | 0.9967 | 0.9971 | 0.9953 | 0.9964 | 0.9919 | ||
| X5 | 2 | 0.8640 | 0.8640 | 0.8640 | 0.8640 | 0.8640 | 0.8640 | 0.8496 | X11 | 0.8261 | 0.8261 | 0.8261 | 0.8261 | 0.8261 | 0.8261 | 0.8213 |
| 3 | 0.9314 | 0.9314 | 0.9314 | 0.9314 | 0.9314 | 0.9314 | 0.8955 | 0.9010 | 0.9010 | 0.9010 | 0.9010 | 0.9010 | 0.9010 | 0.8939 | ||
| 4 | 0.9371 | 0.9369 | 0.9366 | 0.9374 | 0.9368 | 0.9378 | 0.9051 | 0.9392 | 0.9391 | 0.9388 | 0.9392 | 0.9386 | 0.9391 | 0.9246 | ||
| 5 | 0.9410 | 0.9407 | 0.9409 | 0.9416 | 0.9424 | 0.9374 | 0.9225 | 0.9550 | 0.9548 | 0.9545 | 0.9549 | 0.9543 | 0.9547 | 0.9370 | ||
| 6 | 0.9595 | 0.9570 | 0.9584 | 0.9587 | 0.9556 | 0.9576 | 0.9335 | 0.9649 | 0.9646 | 0.9641 | 0.9647 | 0.9637 | 0.9647 | 0.9453 | ||
| 7 | 0.9659 | 0.9644 | 0.9618 | 0.9642 | 0.9608 | 0.9625 | 0.9426 | 0.9717 | 0.9715 | 0.9703 | 0.9716 | 0.9705 | 0.9716 | 0.9582 | ||
| 8 | 0.9731 | 0.9721 | 0.9664 | 0.9727 | 0.9687 | 0.9698 | 0.9489 | 0.9775 | 0.9774 | 0.9757 | 0.9772 | 0.9760 | 0.9773 | 0.9623 | ||
| 9 | 0.9745 | 0.9748 | 0.9695 | 0.9746 | 0.9690 | 0.9722 | 0.9539 | 0.9819 | 0.9817 | 0.9790 | 0.9818 | 0.9787 | 0.9807 | 0.9679 | ||
| 10 | 0.9746 | 0.9741 | 0.9706 | 0.9720 | 0.9692 | 0.9721 | 0.9622 | 0.9843 | 0.9843 | 0.9828 | 0.9841 | 0.9821 | 0.9838 | 0.9709 | ||
| 15 | 0.9824 | 0.9831 | 0.9806 | 0.9805 | 0.9797 | 0.9794 | 0.9716 | 0.9913 | 0.9907 | 0.9884 | 0.9915 | 0.9887 | 0.9903 | 0.9811 | ||
| 20 | 0.9858 | 0.9859 | 0.9856 | 0.9844 | 0.9854 | 0.9837 | 0.9780 | 0.9940 | 0.9945 | 0.9930 | 0.9933 | 0.9926 | 0.9925 | 0.9870 | ||
| 30 | 0.9881 | 0.9877 | 0.9875 | 0.9872 | 0.9879 | 0.9865 | 0.9850 | 0.9960 | 0.9958 | 0.9950 | 0.9954 | 0.9950 | 0.9941 | 0.9910 | ||
| X6 | 2 | 0.7571 | 0.7571 | 0.7571 | 0.7571 | 0.7571 | 0.7571 | 0.7472 | X12 | 0.6728 | 0.6728 | 0.6728 | 0.6728 | 0.6728 | 0.6728 | 0.6992 |
| 3 | 0.8880 | 0.8880 | 0.8880 | 0.8880 | 0.8878 | 0.8879 | 0.8724 | 0.7842 | 0.7842 | 0.7842 | 0.7842 | 0.7842 | 0.7842 | 0.7617 | ||
| 4 | 0.9142 | 0.9142 | 0.9140 | 0.9142 | 0.9141 | 0.9143 | 0.8934 | 0.8524 | 0.8490 | 0.8528 | 0.8520 | 0.8528 | 0.8511 | 0.8471 | ||
| 5 | 0.9292 | 0.9293 | 0.9274 | 0.9287 | 0.9280 | 0.9299 | 0.8977 | 0.8715 | 0.8719 | 0.8785 | 0.8715 | 0.8764 | 0.8711 | 0.8971 | ||
| 6 | 0.9329 | 0.9365 | 0.9344 | 0.9316 | 0.9313 | 0.9354 | 0.9071 | 0.8984 | 0.9002 | 0.9198 | 0.8980 | 0.9189 | 0.8980 | 0.9027 | ||
| 7 | 0.9315 | 0.9369 | 0.9330 | 0.9294 | 0.9330 | 0.9262 | 0.9017 | 0.9670 | 0.9533 | 0.9717 | 0.9584 | 0.9635 | 0.9432 | 0.9511 | ||
| 8 | 0.9410 | 0.9408 | 0.9335 | 0.9368 | 0.9368 | 0.9342 | 0.9271 | 0.9697 | 0.9833 | 0.9846 | 0.9813 | 0.9846 | 0.9837 | 0.9681 | ||
| 9 | 0.9452 | 0.9440 | 0.9381 | 0.9433 | 0.9405 | 0.9406 | 0.9230 | 0.9874 | 0.9863 | 0.9873 | 0.9874 | 0.9873 | 0.9868 | 0.9733 | ||
| 10 | 0.9503 | 0.9493 | 0.9464 | 0.9479 | 0.9431 | 0.9436 | 0.9321 | 0.9891 | 0.9888 | 0.9895 | 0.9902 | 0.9892 | 0.9904 | 0.9767 | ||
| 15 | 0.9570 | 0.9565 | 0.9548 | 0.9558 | 0.9491 | 0.9543 | 0.9472 | 0.9948 | 0.9945 | 0.9944 | 0.9945 | 0.9946 | 0.9930 | 0.9834 | ||
| 20 | 0.9597 | 0.9598 | 0.9577 | 0.9586 | 0.9576 | 0.9574 | 0.9534 | 0.9969 | 0.9969 | 0.9966 | 0.9967 | 0.9966 | 0.9959 | 0.9913 | ||
| 30 | 0.9617 | 0.9614 | 0.9599 | 0.9612 | 0.9600 | 0.9604 | 0.9581 | 0.9985 | 0.9982 | 0.9978 | 0.9982 | 0.9981 | 0.9974 | 0.9927 |
The bold value indicates the best value.