Author Affiliations
1Key Laboratory of Nondestructive Testing, Ministry of Education, College of Testing and Optoelectronic Engineering, Nanchang Hangkong University, Nanchang 330063, Jiangxi, China2China Aviation Development Shenyang Liming Aero Engine Co., Ltd., Shenyang 110000, Liaoning, Chinashow less
Fig. 1. Schematic of target area
Fig. 2. Original image and LCM map. (a) Original image; (b) LCM map
Fig. 3. Schematic of structural elements
Fig. 4. Schematic of size setting of structural elements
Fig. 5. Overall process of ATHLC method
Fig. 6. Schematic of target area
Fig. 7. Simulation results of three backgrounds at each stage
Fig. 8. Experimental results of similar methods. (a) Original images; (b) 3D gray scale images of original image; (c) Top-Hat; (d) NWTH; (e) PITH; (f) ATHLC
Fig. 9. Comparison diagrams of different classes of methods. (a) Original images; (b) ADMD; (c) AADCCD; (d) HBMLCM; (e) RLCM; (f) MPCM; (g) PSTNN; (h) ATHLC
Fig. 10. Three dimensional gray scale representation of different classes of methods. (a) Original images; (b) ADMD; (c) AADCCD; (d) HBMLCM; (e) RLCM; (f) MPCM; (g) PSTNN; (h) ATHLC
Fig. 11. ROC curves of different methods
Fig. 12. PR curves of different methods
Sequence No. | Target size | Number of frames | Image size | Average SCR | Image description |
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Seq1 | 55 | 30 | 256200 | 0.62 | The cloud background,mostly covered by scattered clouds,has a fixed perspective and small targets from left to right. | Seq2 | 33 | 30 | 256256 | 0.36 | The complex ground background,mostly covered by vegetation and mountains,has a sloping dividing line from the moving perspective. | Seq3 | 33 | 30 | 256256 | 1.46 | Complex ground background,partially covered by mountain forest and ground,moving perspective. | Seq4 | 33 | 30 | 640512 | 0.91 | River and building background,the bridge span from top left to bottom right,with a fixed perspective,and the target are from top left to bottom right. | Seq5 | 11 | 30 | 640512 | 1.08 | Sky and architectural background,fixed perspective,target from right to left. | Seq6 | 33 | 30 | 640512 | 0.26 | The sky background,mostly covered by clouds,has a fixed viewing angle and targets from right to left. |
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Table 1. Sequence image information
Method | Parameter setting |
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Top-Hat | Structuring type is disk;structuring element size is 5×5 | NWTH | Ro=9,Ri=4 for sequences 1-3;Ro=7,Ri=3 for sequences 4-6 | PITH | Bo=9,Bi=4,Be=3 for sequences 1-3;Bo=7,Bi=3,Be=2 for sequences 4-6 | ATHLC | Bo=11,Bi=5,Be=4 for sequences 1-3;Bo=9,Bi=4,Be=3 for sequences 4-6;scale is 3,5;window size is 3×3;k'=4 |
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Table 2. Parameter settings of comparison methods
Sequence No. | Top-Hat SCRG/BSF/CG | NWTH SCRG/BSF/CG | PITH SCRG/BSF/CG | ATHLC SCRG/BSF/CG |
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Seq1 | 15.66/1.08/8.53 | Inf/10.00/4.83 | Inf/11.78/4.59 | Inf/Inf/16.24 | Seq2 | 16.04/0.88/9.12 | 345.99/5.66/9.01 | 434.45/6.76/8.90 | Inf/Inf/29.73 | Seq3 | 3.60/1.23/2.32 | 23.97/10.83/1.97 | 27.45/12.25/1.95 | Inf/Inf/6.78 | Seq4 | 4.16/1.57/1.70 | Inf/31.79/1.87 | Inf/34.45/1.87 | Inf/300.58/9.90 | Seq5 | 5.31/2.99/3.59 | Inf/50.40/3.59 | Inf/55.09/3.60 | Inf/1550.09/19.79 | Seq6 | 179.92/9.46/52.28 | Inf/134.77/40.12 | Inf/149.33/40.26 | Inf/310.57/573.06 |
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Table 3. SCRG, BSF, and CG of similar methods
Method | Parameter setting |
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ADMD | Scale is 3,5,7,9;window size is 33 | AADCDD | Scale is 3,5,7,9;window size is 33 | HBMLCM | Scale is 3,5,7,9;window size is 1515 | RLCM | Scale is 3;=2,5,9;=4,9,16 | MPCM | Scale is 3,5,7,9;mean filtering size is 33 | PSTNN | Patch size is 4040;sliding step is 40; | ATHLC | Bo=11,Bi=5,Be=4 for sequences 1-3;Bo=9,Bi=4,Be=3 for sequences 4-6;scale is 3,5;window size is 33;k′=4 |
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Table 4. Parameter settings for different classes of methods
Method | Seq1 | Seq2 | Seq3 | Seq4 | Seq5 | Seq6 |
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ADMD | 224.59 | Inf | 30.71 | Inf | Inf | 3816.40 | AADCDD | 255.53 | Inf | 59.11 | Inf | Inf | Inf | HBMLCM | 89.14 | 120.94 | 29.66 | 49.78 | 82.70 | 1384.73 | RLCM | 112.66 | 48.78 | 27.98 | 120.97 | Inf | Inf | MPCM | 3.35 | 1.15 | 1.28 | 0.17 | 1.14 | 34.28 | PSTNN | Inf | Inf | Inf | Inf | Inf | Inf | ATHLC | Inf | Inf | Inf | Inf | Inf | Inf |
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Table 5. SCRG of different classes of methods
Method | Seq1 | Seq2 | Seq3 | Seq4 | Seq5 | Seq6 |
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ADMD | 15.16 | 4.53 | 5.02 | 13.23 | 22.03 | 28.93 | AADCDD | 9.55 | 4.91 | 4.82 | 7.30 | 26.88 | 116.93 | HBMLCM | 24.31 | 3.18 | 3.41 | 8.15 | 13.36 | 107.05 | RLCM | 4.08 | 1.73 | 4.78 | 7.06 | 12.78 | 25.71 | MPCM | 2.10 | 3.26 | 4.04 | 4.21 | 18.17 | 8.07 | PSTNN | Inf | 4.08 | 3.35 | 15.02 | 33.92 | 130.54 | ATHLC | Inf | Inf | Inf | 300.58 | 1550.09 | 310.57 |
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Table 6. BSF of different classes of methods
Method | Seq1 | Seq2 | Seq3 | Seq4 | Seq5 | Seq6 |
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ADMD | 2.63 | 3.12 | 2.39 | 0.67 | 2.99 | 182.73 | AADCDD | 3.71 | 1.88 | 1.20 | 0.19 | 0.88 | 36.62 | HBMLCM | 3.82 | 5.51 | 2.62 | 0.77 | 2.83 | 317.84 | RLCM | 17.86 | 26.84 | 9.28 | 9.60 | 18.37 | 231.67 | MPCM | 2.30 | 0.67 | 0.94 | 0.30 | 0.78 | 34.86 | PSTNN | 6.21 | 6.43 | 1.89 | 1.49 | 3.07 | 45.57 | ATHLC | 16.24 | 29.73 | 6.78 | 9.90 | 19.79 | 573.06 |
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Table 7. CG of different classes of methods
Method | Seq1 | Seq2 | Seq3 | Seq4 | Seq5 | Seq6 |
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ADMD | 0.0253 | 0.0152 | 0.0130 | 0.0380 | 0.0370 | 0.0358 | AADCDD | 0.0260 | 0.0271 | 0.0265 | 0.0939 | 0.0940 | 0.0923 | HBMLCM | 0.0153 | 0.0147 | 0.0131 | 0.0543 | 0.0556 | 0.0470 | RLCM | 0.9791 | 1.3668 | 1.3906 | 7.1697 | 7.5835 | 6.7185 | MPCM | 0.0335 | 0.0423 | 0.0446 | 0.1742 | 0.1789 | 0.1779 | PSTNN | 0.0423 | 0.1697 | 0.1883 | 0.9150 | 0.7672 | 0.5253 | ATHLC | 0.0242 | 0.0367 | 0.0327 | 0.1331 | 0.1335 | 0.1289 |
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Table 8. Running time of different classes of methods