Dual-mode Infrared Image Fusion Algorithm Selection Based on Possibility Information Quality Synthesis

Xiaoming GUO; Linna JI; Fengbao YANG

doi:10.3788/gzxb20215003.0310003

Acta Photonica Sinica, Volume. 50, Issue 3, 167(2021)

Dual-mode Infrared Image Fusion Algorithm Selection Based on Possibility Information Quality Synthesis

Xiaoming GUO, Linna JI, and Fengbao YANG

Author Affiliations

College of Information and Communications Engineering， North University of China， Taiyuan030051， China

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Figures & Tables(19)

Fig. 1. Flow chart of dual-mode infrared image fusion algorithm selection

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Fig. 3. Fusion image results (based on fusion algorithm sets, from left to right are A₁ to A₁₁)

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Fig. 4. Scattering distribution graphs of difference feature amplitude fusion effectiveness

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Fig. 5. The possibility distribution of the difference feature fusion effectiveness under multiple fusion algorithms

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Fig. 6. The credibility of the possibility distribution subsets of the difference feature fusion effectiveness

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Fig. 7. The separability of the possibility distribution subsets of the difference feature fusion effectiveness

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Fig. 8. The weight of the possibility distribution subsets of the difference feature fusion effectiveness

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Fig. 9. The information quantity of weighted composite subsets under each fusion algorithm

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Fig. 10. The credibility of the weighted composite subsets under each fusion algorithm

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Fig. 11. The score of weighted composite subsets under each fusion algorithm

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Fig. 12. The score of the non-dominated subsets under each fusion algorithm

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Fig. 13. S_w of different fusion algorithms of two groups of images

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Table 1. Weighted composition of multiple vector subsets

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Table 1. Weighted composition of multiple vector subsets

Number of inclusive subsets	Weighted composite subset definition
1	$B_{1} = W_{1} \cdot π_{1}$
2	$B_{7} = (W_{1} \cdot π_{1} + W_{2} \cdot π_{2}) / 2$ …… $B_{21} = (W_{5} \cdot π_{5} + W_{6} \cdot π_{6}) / 2$
3	$B_{22} = (W_{1} \cdot π_{1} + W_{2} \cdot π_{2} + W_{3} \cdot π_{3}) / 3$ …… $B_{41} = (W_{4} \cdot π_{4} + W_{5} \cdot π_{5} + W_{6} \cdot π_{6}) / 3$
4	$B_{42} = (W_{1} \cdot π_{1} + W_{2} \cdot π_{2} + W_{3} \cdot π_{3} + W_{4} \cdot π_{4}) / 4$ …… $B_{56} = (W_{3} \cdot π_{3} + W_{4} \cdot π_{4} + W_{5} \cdot π_{5} + W_{6} \cdot π_{6}) / 4$
5	$B_{57} = (W_{1} \cdot π_{1} + W_{2} \cdot π_{2} + W_{3} \cdot π_{3} + W_{4} \cdot π_{4} + W_{5} \cdot π_{5}) / 5$ …… $B_{62} = (W_{2} \cdot π_{2} + W_{3} \cdot π_{3} + W_{4} \cdot π_{4} + W_{5} \cdot π_{5} + W_{6} \cdot π_{6}) / 5$
6	$B_{63} = (W_{1} \cdot π_{1} + W_{2} \cdot π_{2} + W_{3} \cdot π_{3} + W_{4} \cdot π_{4} + W_{5} \cdot π_{5} + W_{6} \cdot π_{6}) / 6$

Table 2. Non-dominated subsets of the first group image

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Table 2. Non-dominated subsets of the first group image

Fusion algorithm	Non-dominated subsets
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}

Table 3. Non-dominated subsets of the second group image

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Table 3. Non-dominated subsets of the second group image

Fusion algorithm	Non-dominated subsets
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}

Table 4. Evaluation index of different fusion algorithms of the first group image

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Table 4. Evaluation index of different fusion algorithms of the first group image

Evaluation index	Fusion algorithm
Evaluation index	A₁	A₂	A₃	A₄	A₅	A₆	A₇	A₈	A₉	A₁₀	A₁₁
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

Table 5. Evaluation index of different fusion algorithms of the second group image

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Table 5. Evaluation index of different fusion algorithms of the second group image

Evaluation index	Fusion algorithm
Evaluation index	A₁	A₂	A₃	A₄	A₅	A₆	A₇	A₈	A₉	A₁₀	A₁₁
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

Table 6. S_w of different fusion algorithms of the first group image
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Table 6. S_w of different fusion algorithms of the first group image
Fusion algorithm A₁ A₂ A₃ A₄ A₅ A₆ A₇ A₈ A₉ A₁₀ A₁₁
S_w 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

Table 7. S_w of different fusion algorithms of the second group image
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Table 7. S_w of different fusion algorithms of the second group image
Fusion algorithm A₁ A₂ A₃ A₄ A₅ A₆ A₇ A₈ A₉ A₁₀ A₁₁
S_w 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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Xiaoming GUO, Linna JI, Fengbao YANG. Dual-mode Infrared Image Fusion Algorithm Selection Based on Possibility Information Quality Synthesis[J]. Acta Photonica Sinica, 2021, 50(3): 167

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