Fig. 1. Flow chart of dual-mode infrared image fusion algorithm selection
Fig. 3. Fusion image results (based on fusion algorithm sets, from left to right are A1 to A11)
Fig. 4. Scattering distribution graphs of difference feature amplitude fusion effectiveness
Fig. 5. The possibility distribution of the difference feature fusion effectiveness under multiple fusion algorithms
Fig. 6. The credibility of the possibility distribution subsets of the difference feature fusion effectiveness
Fig. 7. The separability of the possibility distribution subsets of the difference feature fusion effectiveness
Fig. 8. The weight of the possibility distribution subsets of the difference feature fusion effectiveness
Fig. 9. The information quantity of weighted composite subsets under each fusion algorithm
Fig. 10. The credibility of the weighted composite subsets under each fusion algorithm
Fig. 11. The score of weighted composite subsets under each fusion algorithm
Fig. 12. The score of the non-dominated subsets under each fusion algorithm
Fig. 13. Sw of different fusion algorithms of two groups of images
Number of inclusive subsets | Weighted composite subset definition |
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Table 1. Weighted composition of multiple vector subsets
Fusion algorithm | Non-dominated subsets |
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A1 | {B3,B24,B27,B33,B37,B40,B43,B47,B50,B59,B63} | A2 | {B5,B6,B35,B37,B40,B56,B57,B59,B61,B62,B63} | A3 | {B5,B33,B37,B40,B47,B50,B57,B59,B61} | A4 | {B2,B3,B25,B33,B34,B40,B43,B44,B50,B59,B60,B61,B63} | A5 | {B5,B31,B33,B40,B43,B50,B54,B55,B58,B63} | A6 | {B2,B3,B24,B27,B33,B37,B40,B43,B47,B50,B54,B59,B63} | A7 | {B2,B6,B15,B21,B37,B59,B61,B63} | A8 | {B5,B33,B37,B38,B40,B41,B50,B54,B55,B56,B57,B59,B61,B63} | A9 | {B5,B15,B21,B37,B40,B41,B56,B61,B62} | A10 | {B6,B37,B40,B56,B59,B61,B63} | A11 | {B6, B15,B35,B40,B41,B55,B56,B61,B63} |
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Table 2. Non-dominated subsets of the first group image
Fusion algorithm | Non-dominated subsets |
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A1 | {B3,B24,B25,B27,B31,B33,B37,B43,B47,B50,B54,B59,B63} | A2 | {B5,B6,B40,B59,B62,B63} | A3 | {B3,B24,B27,B33,B37,B40,B43,B50,B54,B63} | A4 | {B2,B3,B12,B22,B24,B25,B33,B34,B43,B44,B50,B54,B63} | A5 | {B3,B28,B33,B34,B37,B40,B43,B47,B50,B54,B59,B63} | A6 | {B5,B6,B19,B20,B31,B33,B37,B40,B47,B50,B54,B63} | A7 | {B6,B27,B28,B31,B37,B40,B47,B50,B60,B63} | A8 | {B3,B5,B27,B40,B47,B50,B63} | A9 | {B5,B27,B33,B40,B50,B54,B59,B62,B63} | A10 | {B3,B40,B50,B55,B61,B63} | A11 | {B5,B6, B28,B37,B40,B47,B50,B59,B62,B63} |
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Table 3. Non-dominated subsets of the second group image
Evaluation index | Fusion algorithm |
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A1 | A2 | A3 | A4 | A5 | A6 | A7 | A8 | A9 | A10 | A11 |
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X1 | 0.400 7 | 0.573 4 | 0.369 8 | 0.451 1 | 0.310 4 | 0.433 1 | 0.579 1 | 0.405 6 | 0.577 2 | 0.427 8 | 0.558 0 | X2 | 0.493 1 | 0.411 8 | 0.380 7 | 0.524 1 | 0.389 3 | 0.533 5 | 0.535 6 | 0.377 7 | 0.424 2 | 0.446 3 | 0.416 1 | X3 | 0.564 8 | 0.706 0 | 0.559 1 | 0.544 1 | 0.530 1 | 0.284 8 | 0.711 3 | 0.565 1 | 0.713 3 | 0.645 9 | 0.723 6 | X4 | 0.217 3 | 0.287 8 | 0.202 2 | 0.258 2 | 0.188 1 | 0.143 7 | 0.325 1 | 0.190 5 | 0.311 4 | 0.248 7 | 0.286 9 | X5 | 0.463 3 | 0.388 6 | 0.344 5 | 0.519 7 | 0.345 8 | 0.528 7 | 0.511 6 | 0.343 2 | 0.401 2 | 0.419 9 | 0.396 7 | X6 | 0.754 2 | 0.463 5 | 0.617 4 | 0.545 1 | 0.559 9 | 0.493 6 | 0.688 6 | 0.432 7 | 0.597 0 | 0.570 4 | 0.602 8 | X7 | 4.085 4 | 2.821 3 | 3.350 7 | 7.412 1 | 3.685 3 | 7.850 6 | 7.101 1 | 3.117 3 | 2.988 9 | 3.165 3 | 2.845 1 | X8 | 0.041 8 | 0.055 6 | 0.063 7 | 0.045 1 | 0.049 5 | 0.028 2 | 0.067 4 | 0.037 6 | 0.066 9 | 0.048 0 | 0.068 9 | X9 | 15.051 7 | 18.009 7 | 22.937 8 | 16.231 6 | 17.832 7 | 10.144 8 | 19.227 7 | 13.540 3 | 18.093 7 | 17.284 8 | 14.810 2 | X10 | 31.485 5 | 26.205 1 | 30.853 5 | 29.999 8 | 30.081 9 | 29.951 2 | 30.628 9 | 29.502 2 | 30.387 8 | 29.862 1 | 30.361 0 |
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Table 4. Evaluation index of different fusion algorithms of the first group image
Evaluation index | Fusion algorithm |
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A1 | A2 | A3 | A4 | A5 | A6 | A7 | A8 | A9 | A10 | A11 |
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X1 | 0.284 3 | 0.489 5 | 0.453 6 | 0.502 8 | 0.439 8 | 0.492 1 | 0.484 9 | 0.431 9 | 0.466 3 | 0.444 2 | 0.437 7 | X2 | 0.052 4 | 0.354 9 | 0.385 3 | 0.466 5 | 0.384 6 | 0.436 8 | 0.377 9 | 0.342 1 | 0.388 3 | 0.370 4 | 0.366 6 | X3 | 0.065 2 | 0.648 8 | 0.538 6 | 0.535 9 | 0.553 8 | 0.640 6 | 0.657 0 | 0.563 9 | 0.675 3 | 0.637 5 | 0.681 3 | X4 | 0.024 4 | 0.345 8 | 0.371 9 | 0.471 1 | 0.367 6 | 0.485 1 | 0.374 0 | 0.330 5 | 0.382 4 | 0.361 9 | 0.354 6 | X5 | 0.025 5 | 0.167 8 | 0.169 1 | 0.169 9 | 0.182 9 | 0.298 9 | 0.310 0 | 0.159 0 | 0.268 0 | 0.282 3 | 0.270 8 | X6 | 4.662 4 | 1.565 4 | 4.500 3 | 6.329 7 | 4.438 2 | 8.063 4 | 1.907 7 | 2.757 9 | 1.923 6 | 2.263 8 | 1.675 4 | X7 | 0.035 4 | 0.045 9 | 0.060 5 | 0.048 0 | 0.065 4 | 0.065 7 | 0.053 8 | 0.043 0 | 0.066 0 | 0.050 4 | 0.065 9 | X8 | 0.020 3 | 0.251 7 | 0.125 9 | 0.150 5 | 0.117 5 | 0.335 1 | 0.298 6 | 0.156 8 | 0.291 5 | 0.227 0 | 0.261 3 | X9 | 12.757 5 | 16.521 0 | 21.761 7 | 17.265 1 | 23.551 5 | 23.442 9 | 19.368 9 | 15.492 7 | 23.754 6 | 18.150 7 | 23.732 3 | X10 | 52.973 2 | 25.410 9 | 45.088 1 | 44.423 6 | 44.891 7 | 61.023 9 | 38.592 1 | 34.108 8 | 35.717 3 | 33.491 7 | 36.720 0 |
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Table 5. Evaluation index of different fusion algorithms of the second group image
Fusion algorithm | A1 | A2 | A3 | A4 | A5 | A6 | A7 | A8 | A9 | A10 | A11 |
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Sw | 5.727 2 | 4.577 6 | 4.627 0 | 6.496 5 | 3.317 2 | 4.342 2 | 9.037 6 | 2.430 7 | 6.409 8 | 4.920 5 | 5.928 0 | Rank | 5 | 8 | 7 | 2 | 10 | 9 | 1 | 11 | 3 | 6 | 4 |
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Table 6. Sw of different fusion algorithms of the first group image
Fusion algorithm | A1 | A2 | A3 | A4 | A5 | A6 | A7 | A8 | A9 | A10 | A11 |
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Sw | 1.250 5 | 5.235 1 | 6.584 8 | 6.743 5 | 6.865 0 | 9.736 1 | 6.932 9 | 4.676 7 | 7.469 8 | 6.035 5 | 7.134 5 | Rank | 11 | 9 | 7 | 6 | 5 | 1 | 4 | 10 | 2 | 8 | 3 |
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Table 7. Sw of different fusion algorithms of the second group image