结合鲁棒主成分分析和非下采样轮廓波变换的红外与可见光图像的压缩融合 
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Compressed Fusion of Infrared and Visible Images Combining Robust Principal Component Analysis and Non-Subsampled Contour Transform
西北师范大学数学与统计学院, 甘肃 兰州 730070
图 & 表
图 1. NSCT分解过程
Fig. 1. Decomposing process of NSCT
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图 2. 本文融合算法的流程图
Fig. 2. Flow chart of proposed fusion algorithm
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图 3. 第一组融合实验图。(a)红外图像;(b)可见光图像;(c) CS_BIT;(d) CS_GG;(e) CS_PCA;(f) RPCA_NSCT_CS;(g) RPCA_CS;(h) RPCA_CS_GGDCI;(i) NSCT_CS;(j)本文方法
Fig. 3. Results of fusion experiments for first-group images. (a) Infrared image; (b) visible image; (c) CS_BIT; (d) CS_GG; (e) CS_PCA; (f) RPCA_NSCT_CS; (g) RPCA_CS; (h) RPCA_CS_GGDCI; (i) NSCT_CS; (j) proposed method
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图 4. 第2组融合实验图。(a)红外图像;(b)可见光图像;(c) CS_BIT;(d) CS_GG;(e) CS_PCA;(f) RPCA_NSCT_CS;(g) RPCA_CS;(h) RPCA_CS_GGDCI;(i) NSCT_CS;(j)本文方法
Fig. 4. Results of fusion experiments for second-group images. (a) Infrared image; (b) visible image; (c) CS_BIT; (d) CS_GG; (e) CS_PCA; (f) RPCA_NSCT_CS; (g) RPCA_CS; (h) RPCA_CS_GGDCI; (i) NSCT_CS; (j) proposed method
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图 5. 第3组融合实验图。(a)红外图像;(b)可见光图像;(c) CS_BIT;(d) CS_GG;(e) CS_PCA;(f) RPCA_NSCT_CS;(g) RPCA_CS;(h) RPCA_CS_GGDCI;(i) NSCT_CS;(j)本文方法
Fig. 5. Results of fusion experiments for third-group images. (a) Infrared image; (b) visible image; (c) CS_BIT; (d) CS_GG; (e) CS_PCA; (f) RPCA_NSCT_CS; (g) RPCA_CS; (h) RPCA_CS_GGDCI; (i) NSCT_CS; (j) proposed method
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表 1第1组融合结果客观评价
Table1. Objective evaluation of fusion results for first-group images
| Fusion method | E | AG | SF | SD | Q(AB/F) |
|---|
| CS_BIT | 5.5725 | 1.4712 | 2.6660 | 14.2149 | 0.1327 | | CS_GG | 6.2378 | 2.3441 | 4.2633 | 22.2669 | 0.2475 | | CS_PCA | 6.2404 | 2.3075 | 4.1909 | 22.4741 | 0.2489 | | RPCA_NSCT_CS | 6.5169 | 2.4379 | 4.5869 | 27.0233 | 0.3637 | | RPCA_CS | 6.7001 | 2.6185 | 5.1370 | 29.3199 | 0.2886 | | RPCA_CS_GGDCI | 6.7020 | 2.5740 | 5.1902 | 29.5137 | 0.4920 | | NSCT_CS | 7.1461 | 3.3146 | 6.0020 | 41.1431 | 0.4818 | | Proposed method | 7.5494 | 4.4838 | 8.4780 | 56.1224 | 0.3076 |
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表 2第2组融合结果客观评价
Table2. Objective evaluation of fusion results for second-group images
| Fusion method | E | AG | SF | SD | Q(AB/F) |
|---|
| CS_BIT | 4.3220 | 1.0788 | 2.2547 | 7.0269 | 0.1823 | | CS_GG | 4.7362 | 1.5136 | 3.1382 | 8.3498 | 0.2707 | | CS_PCA | 4.8162 | 1.5725 | 3.2760 | 9.5737 | 0.2780 | | RPCA_NSCT_CS | 4.9951 | 1.3453 | 3.0555 | 9.6503 | 0.3262 | | RPCA_CS | 5.7573 | 1.6926 | 4.7754 | 19.0520 | 0.2831 | | RPCA_CS_GGDCI | 5.7515 | 1.6176 | 4.6400 | 19.0348 | 0.4501 | | NSCT_CS | 6.0386 | 2.8012 | 5.2693 | 21.7813 | 0.4490 | | Proposed method | 6.6697 | 2.5405 | 5.4128 | 31.0641 | 0.3180 |
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表 3第3组融合结果客观评价
Table3. Objective evaluation of fusion results for third-group images
| Fusion method | E | AG | SF | SD | Q(AB/F) |
|---|
| CS_BIT | 5.3507 | 1.3761 | 2.3609 | 10.0958 | 0.1828 | | CS_GG | 5.9403 | 1.9012 | 3.2402 | 15.1763 | 0.2539 | | CS_PCA | 5.9117 | 2.0308 | 3.4898 | 14.8840 | 0.2581 | | RPCA_NSCT_CS | 5.7717 | 1.6134 | 2.7062 | 13.3352 | 0.3398 | | RPCA_CS | 6.1443 | 2.1672 | 4.0228 | 19.3339 | 0.2756 | | RPCA_CS_GGDCI | 6.1405 | 2.0328 | 3.7575 | 19.3740 | 0.4144 | | NSCT_CS | 6.0849 | 2.7359 | 4.6167 | 18.3970 | 0.3925 | | Proposed method | 6.9834 | 3.4598 | 5.7665 | 31.6092 | 0.3237 |
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苏金凤, 张贵仓, 汪凯. 结合鲁棒主成分分析和非下采样轮廓波变换的红外与可见光图像的压缩融合[J]. 激光与光电子学进展, 2020, 57(4): 041005. Jinfeng Su, Guicang Zhang, Kai Wang. Compressed Fusion of Infrared and Visible Images Combining Robust Principal Component Analysis and Non-Subsampled Contour Transform[J]. Laser & Optoelectronics Progress, 2020, 57(4): 041005.
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