Optics and Precision Engineering, Volume. 32, Issue 8, 1199(2024)
Sand microscopic image segmentation with enhanced tuna swarm optimization exponential entropy
Figures & Tables(20)
Fig. 1. Segmentation results of sand microscopic images using several multi-class segmentation algorithms
Fig. 7. Flow chart of enhanced tuna swarm optimization exponential entropy segmentation of image
Fig. 12. Threshold segmentation line and segmentation map of ETSO-EXP segmentation No.4
Table 1. Benchmark functions
View tableView in ArticleTable 1. Benchmark functions
数学表达式 边界 单峰函数 ［-100，100］ ［-1，1］ ［-100，100］ 多峰函数 ［-10，10］ ［-100，100］ ［-100，100］
Table 2. Evaluation parameters of the intelligent optimization algorithms on the benchmark functions
View tableView in ArticleTable 2. Evaluation parameters of the intelligent optimization algorithms on the benchmark functions
函数 SCA SSA DOA AFT WSO TSO MTSO CTSO ETSO 单
峰
函
数
3.01×10-11 1.95×10-3 4.71×10-20 9.84×10-9 2.81×10-1 5.16×10-50 1.37×10-51 1.03×10-52 0 1.10×10-10 2.32×103 2.31×10-19 5.37×10-8 3.36×10-1 1.34×10-49 7.35×10-50 5.58×10-52 0 1.523 1.176 2.606 0.943 0.735 0.653 0.701 0.711 0.646 5.71×10-2 5.09×10-5 1.38×10-23 7.77×10-7 8.36×10-7 3.91×10-59 5.14×10-60 1.10×10-60 0 7.24×10-2 8.39×10-5 7.47×10-23 1.32×10-6 1.32×10-6 1.87×10-58 2.10×10-59 4.77×10-60 0 1.741 1.449 2.871 1.303 1.096 0.944 0.988 1.042 0.880 3.17×104 6.08×103 5.49×10-10 3.32×103 2.24×103 5.11×10-42 1.01×10-45 2.20×10-51 0 1.03×104 2.57×103 2.96×10-9 1.11×103 6.22×102 1.82×10-41 5.22×10-45 9.37×10-51 0 2.249 1.881 2.855 1.979 1.447 1.308 1.392 1.470 1.316 多
峰
函
数
1.35×101 9.07×100 1.21×10-7 8.05×10 9.51×10 1.19×10-18 1.65×10-21 1.36×10-28 1.74 ×10-2747.40×100 2.57×100 4.49×10-7 3.48×100 1.99×100 4.05×10-18 8.90×10-21 5.16×10-28 0 1.411 1.033 2.154 0.879 0.712 0.548 0.562 0.603 0.522 6.08×100 6.18×100 4.71×10-2 3.95×100 5.00×100 1.66×10-16 2.08×10-18 9.06×10-22 0 1.98×100 1.02×100 5.10×10-2 4.74×10-1 6.83×10-1 4.71×10-16 7.04×10-18 4.88×10-21 0 1.360 1.021 2.336 0.852 0.696 0.513 0.574 0.603 0.505 1.25×10-1 3.54×10-6 3.26×10-3 3.58×10-3 1.00×10-1 4.71×10-14 2.21×10-16 5.41×10-21 0 1.47×10-1 4.47×10-6 1.23×10-2 8.94×10-3 1.02×10-1 2.22×10-13 7.77×10-16 1.84×10-20 0 1.441 1.104 2.454 0.948 0.668 0.584 0.631 0.676 0.566
Table 3. ETSO与TSO寻找到的阈值和信息量的对比
View tableView in ArticleTable 3. ETSO与TSO寻找到的阈值和信息量的对比
图像 TSO-EXP ETSO-EXP No.1 143 99 55 10.611 99 143 54 10.621 No.2 107 46 76 171 137 15.807 213 129 167 54 92 15.841 No.3 71 115 44 93 154 188 134 20.859 105 83 189 60 128 36 151 20.915 No.4 205 66 142 166 124 101 38 20.886 112 38 164 203 137 62 88 20.975
Table 4. Segmentation results of microscopic images of sand grains （the abscissa is the gray value， and the ordinate is the frequency）
View tableView in ArticleTable 4. Segmentation results of microscopic images of sand grains （the abscissa is the gray value， and the ordinate is the frequency）
图像 ETSO-Grey ETSO-MinCross ETSO-Tsallis TSO-EXP ETSO-EXP No.1 3 No.2 5 No.4 7
Table 5. PSNR values
View tableView in ArticleTable 5. PSNR values
图像 ETSO-Grey ETSO-MinCross ETSO-Tsallis TSO-EXP ETSO-EXP No.1 3 1.26×101 1.17×101 1.34×101 1.56×101 1.85 ×101 5 1.38×101 1.23×101 1.54×101 1.87×101 1.96 ×101 7 1.44×101 1.28×101 1.73×101 1.94×101 2.08 ×101 No.2 3 1.27×101 1.38×101 1.29×101 1.44×101 1.45 ×101 5 1.41×101 1.48×101 1.56×101 2.04×101 2.18 ×101 7 1.48×101 1.55×101 1.68×101 2.11×101 2.37 ×101 No.3 3 1.26×101 1.12×101 1.38×101 1.60×101 1.61 ×101 5 1.39×101 1.14×101 1.53×101 1.71×101 1.82 ×101 7 1.45×101 1.24×101 1.61×101 1.81×101 2.15 ×101 No.4 3 1.29 ×101 1.27×101 1.27×101 1.16×101 1.18×101 5 1.55×101 1.32×101 1.59×101 1.98×101 2.13 ×101 7 1.60×101 1.35×101 1.74×101 2.03×101 2.33 ×101
Table 6. SSIM values
View tableView in ArticleTable 6. SSIM values
图像 ETSO-Grey ETSO-MinCross ETSO-Tsallis TSO-EXP ETSO-EXP No.1 3 4.43×10-1 5.34×10-1 4.32×10-1 5.41×10-1 5.44 ×10-1 5 5.26×10-1 6.45×10-1 5.50×10-1 6.92×10-1 6.99 ×10-1 7 5.76×10-1 6.99×10-1 5.60×10-1 7.41×10-1 7.79 ×10-1 No.2 3 4.46×10-1 5.52×10-1 4.52×10-1 5.58×10-1 5.59 ×10-1 5 5.37×10-1 6.76×10-1 5.78×10-1 6.96×10-1 7.20 ×10-1 7 5.86×10-1 7.30×10-1 5.77×10-1 7.45×10-1 7.96 ×10-1 No.3 3 3.97×10-1 4.90 ×10-1 4.00×10-1 4.78×10-1 4.79×10-1 5 4.83×10-1 5.92×10-1 5.17×10-1 6.24×10-1 6.37 ×10-1 7 5.32×10-1 6.51×10-1 5.20×10-1 6.79×10-1 7.11 ×10-1 No.4 3 4.72×10-1 5.19 ×10-1 3.75×10-1 5.17×10-1 5.18×10-1 5 5.70×10-1 6.60×10-1 5.25×10-1 6.71×10-1 6.89 ×10-1 7 6.13×10-1 7.14×10-1 5.41×10-1 7.35×10-1 7.58 ×10-1
Table 7. FSIM values
View tableView in ArticleTable 7. FSIM values
图像 ETSO-Grey ETSO-MinCross ETSO-Tsallis TSO-EXP ETSO-EXP No.1 3 6.88×10-1 7.97×10-1 7.06×10-1 8.26×10-1 8.44 ×10-1 5 7.42×10-1 8.49×10-1 7.75×10-1 9.03×10-1 9.15 ×10-1 7 7.76×10-1 8.76×10-1 8.31×10-1 9.10×10-1 9.33 ×10-1 No.2 3 6.97×10-1 8.27×10-1 6.99×10-1 8.34×10-1 8.35 ×10-1 5 7.53×10-1 8.80×10-1 7.94×10-1 9.10×10-1 9.29 ×10-1 7 7.86×10-1 9.01×10-1 8.32×10-1 9.14×10-1 9.52 ×10-1 No.3 3 6.69×10-1 7.90×10-1 6.95×10-1 8.19×10-1 8.20 ×10-1 5 7.23×10-1 8.39×10-1 7.65×10-1 8.87×10-1 8.98 ×10-1 7 7.56×10-1 8.66×10-1 8.22×10-1 8.98×10-1 9.28 ×10-1 No.4 3 7.42×10-1 8.07 ×10-1 6.67×10-1 8.02×10-1 8.04×10-1 5 8.03×10-1 8.75×10-1 7.79×10-1 9.03×10-1 9.15 ×10-1 7 8.22×10-1 8.95×10-1 8.18×10-1 9.08×10-1 9.45 ×10-1
Table 8. T values
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图像 ETSO-Grey ETSO-MinCross ETSO-Tsallis TSO-EXP ETSO-EXP No.1 3 26.337 26.953 34.254 26.219 26.045 5 27.133 27.845 35.688 26.631 26.673 7 27.654 28.411 37.566 26.68 26.788 No.2 3 26.565 26.812 33.359 26.613 26.263 5 27.154 27.527 35.658 26.679 26.501 7 28.103 28.542 37.123 26.969 26.203 No.3 3 26.490 27.072 34.237 26.869 25.839 5 26.489 27.694 35.360 26.519 26.627 7 28.362 28.432 36.513 26.846 26.833 No.4 3 27.046 27.455 33.722 26.076 25.713 5 27.289 27.881 35.457 26.685 26.419 7 28.028 28.493 37.223 27.513 27.092
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Mengfei WANG, Weixing WANG, Kun XU, Limin LI. Sand microscopic image segmentation with enhanced tuna swarm optimization exponential entropy[J]. Optics and Precision Engineering, 2024, 32(8): 1199
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Received: Jun. 21, 2023
Accepted: --
Published Online: May. 29, 2024
The Author Email: Weixing WANG (wxwang@chd.edu.cn), Limin LI (wxwang@chd.edu.cn)
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