Author Affiliations
1 Institute of Image Processing and Understanding, North Minzu University, Yinchuan, Ningxia 750021, China2 Center of Mathematics and Information Science, Dalian Minzu University, Dalian, Liaoning 116600, Chinashow less
Fig. 1. Basic framework of RGF
Fig. 2. Smooth results of RGF corresponding to different σr values
Fig. 3. Construction based on hybrid multi-scale decomposition
Fig. 4. Five sets of infrared and visible images used in test. (a) Un camp; (b) Octec; (c) Steamboat; (d) Kayak; (e) Infrared4-Visible4
Fig. 5. Fusion results obtained by different fusion methods applied in “Un camp” image
Fig. 6. Fusion results obtained by different fusion methods applied in “Octec” image
Fig. 7. Fusion results obtained by different fusion methods applied in “Steamboat” image
Fig. 8. Fusion results obtained by different fusion methods applied in “Kayak” image
Fig. 9. Fusion results obtained by different fusion methods applied in “Infrared4-Visible4” image
Fig. 10. Statistical polygonal images of different objective evaluation indicators
Fig. 11. Three-dimensional data images of “Octec”
Fig. 12. Three-dimensional data images of “Infrared4-Visible4”
σr | STD | SF | EI |
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0.1 | 0.1470 | 0.0305 | 0.0936 | 0.01 | 0.1514 | 0.0423 | 0.1290 | 0.001 | 0.1520 | 0.0443 | 0.1477 | 0.0001 | 0.1521 | 0.0443 | 0.1481 | 0.00001 | 0.1521 | 0.0443 | 0.1481 | 0.2 | 0.1457 | 0.0264 | 0.0909 | 0.02 | 0.1505 | 0.0399 | 0.1147 | 0.002 | 0.1520 | 0.0442 | 0.1466 | 0.0002 | 0.1521 | 0.0443 | 0.1481 | 0.00002 | 0.1521 | 0.0443 | 0.1481 |
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Table 1. Objective evaluation indicators of visible image corresponding to different σr values
Image | Index | DWT | CVT | DTCWT | NSCT-DAPCNN | NSDTST | LATLRR | GTF | MSVD | ours |
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| MI | 0.1916 | 0.1893 | 0.2011 | 0.2072 | 0.1802 | 0.2410 | 0.2793 | 0.2165 | 0.2841 | | STD | 0.1029 | 0.0988 | 0.0974 | 0.0718 | 0.1332 | 0.1070 | 0.1051 | 0.0892 | 0.1152 (2) | Un camp | QNCIE | 0.8029 | 0.8029 | 0.8030 | 0.8030 | 0.8029 | 0.8034 | 0.8041 | 0.8031 | 0.8039 (2) | | QCV | 425.1803 | 461.3446 | 426.053 | 423.8996 | 540.9333 | 332.3001 | 661.3364 | 424.1480 | 293.6759 | | IE | 0.4709 | 0.4685 | 0.4560 | 0.4580 | 0.6132 | 0.6268 | 0.6026 | 0.4500 | 0.8334 | | MI | 0.3876 | 0.3758 | 0.4127 | 0.4283 | 0.3838 | 0.4472 | 0.5176 | 0.4628 | 0.5200 | | STD | 0.1167 | 0.1175 | 0.1136 | 0.1117 | 0.2132 | 0.1175 | 0.0959 | 0.1080 | 0.1573 (2) | Octec | QNCIE | 0.8066 | 0.8064 | 0.8070 | 0.8071 | 0.8073 | 0.8073 | 0.8089 | 0.8075 | 0.8094 | | QCV | 648.2625 | 408.1675 | 629.2341 | 626.6379 | 391.1703 | 274.6485 | 2264.0 | 1902.5 | 192.0751 | | IE | 0.9613 | 0.9645 | 0.9672 | 0.9660 | 0.9635 | 0.9934 | 0.8337 | 0.8298 | 1.0000 | | MI | 0.2576 | 0.2418 | 0.2695 | 0.2738 | 0.2911 | 0.2908 | 0.6284 | 0.2965 | 0.4514 (2) | | STD | 0.0524 | 0.0482 | 0.0479 | 0.0449 | 0.124 | 0.0498 | 0.1331 | 0.0415 | 0.0769 (3) | Steamboat | QNCIE | 0.8045 | 0.8043 | 0.8046 | 0.8046 | 0.8052 | 0.8047 | 0.8117 | 0.8047 | 0.8068 (2) | | QCV | 163.4563 | 169.6701 | 167.6022 | 173.5677 | 298.9255 | 208.9697 | 331.4260 | 178.0732 | 138.259 | | IE | 0.3950 | 0.3742 | 0.3710 | 0.3567 | 0.6137 | 0.4527 | 0.5750 | 0.3516 | 0.7979 | | MI | 0.4471 | 0.3786 | 0.4492 | 0.5184 | 0.4923 | 0.4696 | 0.5469 | 0.6198 | 0.5195(3) | | STD | 0.0731 | 0.0728 | 0.0696 | 0.0669 | 0.1707 | 0.0673 | 0.0864 | 0.0647 | 0.1444 (2) | Kayak | QNCIE | 0.8059 | 0.8049 | 0.8058 | 0.8070 | 0.8070 | 0.8061 | 0.8072 | 0.8087 | 0.8087 | | QCV | 876.5883 | 622.103 | 864.7246 | 791.0015 | 798.335 | 855.5583 | 3060.6 | 697.9614 | 135.6981 | | IE | 0.0279 | 0.0224 | 0.0207 | 0.0132 | 0.7651 | 0.0262 | 0.0191 | 0.0071 | 0.9980 | | MI | 0.2485 | 0.2461 | 0.2866 | 0.2754 | 0.2552 | 0.2943 | 0.2390 | 0.2852 | 0.3233 | | STD | 0.1465 | 0.1366 | 0.1364 | 0.1289 | 0.1697 | 0.1432 | 0.1330 | 0.1243 | 0.1707 | Infrared4-Visible4 | QNCIE | 0.8035 | 0.8034 | 0.8044 | 0.8038 | 0.8036 | 0.8040 | 0.8034 | 0.8039 | 0.8046 | | QCV | 1133.9 | 1056.2 | 1502.3 | 1076.9 | 1845.6 | 924.2383 | 1972.3 | 1045.83 | 718.6361 | | IE | 0.7643 | 0.7588 | 0.7511 | 0.7474 | 0.8973 | 0.8745 | 0.8450 | 0.7364 | 0.9504 |
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Table 2. Objective evaluation indicators of different fusion methods
Images | DWT | CVT | DTCWT | NSCT-DAPCNN | NSDTST | LATLRR | GTF | MSVD | ours |
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Un camp | 0.6707 | 2.1643 | 0.5408 | 41.7589 | 101.5510 | 227.6768 | 1.5259 | 0.1645 | 19.0259 (6) | Octec | 0.2924 | 1.8312 | 0.4142 | 139.7033 | 326.4207 | 218.3082 | 7.8089 | 0.5087 | 58.0978 (6) | Steamboat | 0.2856 | 1.8511 | 0.4191 | 118.7886 | 267.4719 | 251.7716 | 7.1331 | 0.4355 | 49.8169 (6) | Kayak | 0.2777 | 1.8518 | 0.3950 | 117.9741 | 257.4367 | 245.7336 | 6.2976 | 0.6104 | 49.4241 (6) | Infrare4-Visible4 | 0.3054 | 1.8840 | 0.4115 | 27.8120 | 67.3537 | 220.7137 | 1.1274 | 0.2653 | 11.6429 (6) |
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Table 3. Running-time of eight other methods and proposed method