Author Affiliations
Computer Science and Technical College, Henan Polytechnic University, Jiaozuo, Henan 454003, Chinashow less
Fig. 1. Regions in 2D histogram. (a) Histogram method; (b) line interpret histogram method
Fig. 2. Directions about a pixel. (a) Eight directions of center pixel; (b) NW direction of edge of SW-NE direction
Fig. 3. Algorithm segmentation results. (a) Original image; (b) result obtained by Otsu; (c) result obtained by directional fuzzy derivative; (d) fusion result
Fig. 4. Algorithm segmentation results. (a) Original image 1; (b) Otsu; (c) 2D maximum entropy; (d) algorithm in Ref. [18]; (e) algorithm in Ref. [23]; (f) proposed method
Fig. 5. Algorithm segmentation results. (a) Original image 2; (b) Otsu; (c) 2D maximum entropy; (d) algorithm in Ref. [18]; (e) algorithm in Ref. [23]; (f) proposed method
Fig. 6. Algorithm segmentation results. (a) Original image 3; (b)Otsu; (c) 2D maximum entropy; (d) algorithm in Ref. [18]; (e) algorithm in Ref. [23]; (f) proposed method
Fig. 7. Fuzzy derivative segmentation results. (a) Segmentation result of Fig. 4(a); (b) segmentation result of Fig. 5(a); (c) segmentation result of Fig. 6(a)
Fig. 8. Algorithm segmentation results of image 1. (a) Original image; (b) Otsu; (c) 2D maximum entropy; (d) algorithm in Ref. [18]; (e) algorithm in Ref. [23]; (f) proposed method
Fig. 9. Algorithm segmentation results of image 2. (a) Original image; (b) Otsu; (c) 2D maximum entropy; (d) algorithm in Ref. [18]; (e) algorithm in Ref. [23]; (f) proposed method
Fig. 10. Algorithm segmentation results of image 3. (a) Original image; (b) Otsu; (c) 2D maximum entropy; (d) algorithm in Ref. [18]; (e) algorithm in Ref. [23]; (f) proposed method
Fig. 11. Algorithm segmentation results of image 4. (a) Original image; (b) Otsu; (c) 2D maximum entropy; (d) algorithm in Ref. [18]; (e) algorithm in Ref. [23]; (f) proposed method
Fig. 12. Algorithm segmentation results of image 5. (a) Original image; (b) Otsu; (c) 2D maximum entropy; (d) algorithm in Ref. [18]; (e) algorithm in Ref. [23]; (f) proposed method
Algorithm | Parameter | Fig. 8 | Fig. 9 | Fig. 10 | Fig. 11 | Fig. 12 |
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| RMSE | 0.1852 | 0.1856 | 0.1878 | 0.1863 | 0.1898 | Otsu | SSIM | 0.9964 | 0.9964 | 0.9964 | 0.9964 | 0.9964 | | PSNR | 29.2957 | 29.2540 | 29.0510 | 29.1909 | 28.8709 | 2D maximumentropy | RMSE | 0.2356 | 0.1516 | 0.2586 | 0.2781 | 0.2970 | SSIM | 0.9940 | 0.9977 | 0.9927 | 0.9915 | 0.9902 | PSNR | 25.1105 | 32.7700 | 23.4933 | 22.2315 | 21.0909 | | RMSE | 0.1686 | 0.1816 | 0.1520 | 0.2124 | 0.1954 | Algorithm in Ref. [18] | SSIM | 0.9989 | 0.9986 | 0.9992 | 0.9979 | 0.9983 | | PSNR | 30.9219 | 29.6318 | 32.7314 | 26.9148 | 28.3674 | | RMSE | 0.1838 | 0.1842 | 0.1852 | 0.1843 | 0.1885 | Algorithm in Ref. [23] | SSIM | 0.9964 | 0.9964 | 0.9964 | 0.9964 | 0.9963 | | PSNR | 29.4301 | 29.3874 | 29.2908 | 29.3744 | 28.9850 | | RMSE | 0.0292 | 0.0221 | 0.0435 | 0.0416 | 0.0416 | Proposed method | SSIM | 0.9998 | 0.9998 | 0.9998 | 0.9998 | 0.9998 | | PSNR | 61.3895 | 66.2616 | 54.4424 | 55.2410 | 55.2410 |
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Table 1. Quantitative comparison of various segmentation methods
Algorithm | Parameter | Fig. 8 | Fig. 9 | Fig. 10 | Fig. 11 | Fig. 12 |
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| RMSE | 0.2275 | 0.2285 | 0.3065 | 0.2392 | 0.2275 | Otsu | SSIM | 0.9962 | 0.9961 | 0.9915 | 0.9959 | 0.9962 | | PSNR | 25.7245 | 25.6437 | 20.5404 | 24.8494 | 25.7172 | 2D maximumentropy | RMSE | 0.2648 | 0.2007 | 0.2878 | 0.3047 | 0.3070 | SSIM | 0.9941 | 0.9974 | 0.9927 | 0.9916 | 0.9907 | PSNR | 23.0802 | 27.8986 | 21.6358 | 20.6448 | 20.5169 | | RMSE | 0.2162 | 0.1841 | 0.1749 | 0.2286 | 0.2170 | Algorithm in Ref. [18] | SSIM | 0.9980 | 0.9988 | 0.9990 | 0.9977 | 0.9980 | | PSNR | 26.6021 | 29.4007 | 30.2870 | 25.6402 | 26.5443 | | RMSE | 0.2270 | 0.2265 | 0.3045 | 0.2307 | 0.2261 | Algorithm in Ref. [23] | SSIM | 0.9962 | 0.9962 | 0.9916 | 0.9961 | 0.9962 | | PSNR | 25.7620 | 25.7962 | 20.6585 | 25.4761 | 25.8264 | | RMSE | 0.1431 | 0.1395 | 0.1644 | 0.1673 | 0.1429 | Proposed method | SSIM | 0.9995 | 0.9995 | 0.9993 | 0.9993 | 0.9995 | | PSNR | 33.7796 | 34.2118 | 31.3650 | 31.0643 | 33.7985 |
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Table 2. Quantitative comparison of various segmentation methods