Research Article
Fuzzy Multilevel Image Thresholding Based on Modified Quick Artificial Bee Colony Algorithm and Local Information Aggregation
Table 4
Comparison of best objective function values and their corresponding thresholds between EMO, ABC, and MQABC.
| Image | M | Optimum thresholds | Best objective function values | EMO | ABC | MQABC | EMO | ABC | MQABC |
| Baboon | 2 | 78 143 | 80 144 | 80 144 | 17.6799 | 17.6802 | 17.6802 | 3 | 46 100 153 | 46 101 153 | 46 100 153 | 22.1331 | 22.1331 | 22.1331 | 4 | 46 100 153235 | 45 100 153 236 | 45 100 152 235 | 26.5254 | 26.5249 | 26.5265 | 5 | 34 75 115 160 235 | 34 75 116 161 236 | 33 74 115 162 235 | 30.6432 | 30.4394 | 30.6509 |
| Lena | 2 | 97 164 | 97 164 | 97 164 | 17.8234 | 17.8234 | 17.8234 | 3 | 81 126 177 | 83 127 178 | 82126 176 | 22.1102 | 22.1091 | 22.1201 | 4 | 16 82 127 177 | 16 87 123 174 | 16 83 125 176 | 26.1107 | 26.1064 | 26. 1101 | 5 | 16 64 97 137 179 | 16 65 96 133 178 | 16 64 97 137 178 | 30.0052 | 29.9870 | 30.0029 |
| Aeroplane | 2 | 54 161 | 54 161 | 54 161 | 17.8618 | 17.8618 | 17.8618 | 3 | 54 157 229 | 54 134 186 | 54 132 184 | 22.3106 | 22.2964 | 22.3112 | 4 | 54 127 167 206 | 47 109 165 227 | 48 110 165 228 | 26.3540 | 26.6389 | 26.6427 | 5 | 45 77 109 155 202 | 41 96 109 168 229 | 45 109 149 189 229 | 30.8109 | 30.8083 | 30.9162 |
| Swan | 2 | 66 150 | 66 150 | 66 150 | 18.1274 | 18.1274 | 18.1274 | 3 | 64 132 200 | 64 133 198 | 64 131 199 | 22.9607 | 22.9621 | 22.9887 | 4 | 64 117 161 210 | 64 117 164 212 | 64 117 162 210 | 27.3410 | 27.3493 | 27.3509 | 5 | 63 108 140 179 218 | 63 97 132 170 212 | 63 98 134 174 212 | 31.2520 | 31.2512 | 31.2654 |
| Ladyhand | 2 | 86 171 | 86 171 | 86 171 | 18.4477 | 18.4477 | 18.4477 | 3 | 63 116 182 | 64 118 180 | 61 115 180 | 22.9799 | 22.9883 | 22.9890 | 4 | 52 95 137 180 | 53 96 136 180 | 51 96 138 182 | 27.1901 | 27.1956 | 27.1958 | 5 | 52 97 136 168 202 | 56 98 137 168 202 | 55 98 137 174 204 | 31.1297 | 31.1302 | 31.1321 |
| Starfish | 2 | 90 170 | 90 170 | 90 170 | 18.7518 | 18.7518 | 18.7518 | 3 | 73 131 185 | 73 127 182 | 72 127 185 | 23.3105 | 23.3192 | 23.3241 | 4 | 68 117 166 208 | 63 112 159 207 | 67 118 167 206 | 27.5621 | 27.5509 | 27.5675 | 5 | 57 96 135 173 211 | 55 94 132 170 210 | 53 90 130 170 210 | 31.5536 | 31.5338 | 31.5519 |
| Mountain | 2 | 117 196 | 117 196 | 117 196 | 17.6737 | 17.6737 | 17.6737 | 3 | 62 119 196 | 62 119 196 | 62 119 196 | 22.1255 | 22.1255 | 22.1255 | 4 | 20 62 119 196 | 20 62 120 198 | 20 62 119 194 | 26.4474 | 26.4338 | 26.4427 | 5 | 20 61 96 137 197 | 20 60 96 139 203 | 20 61 100 159 204 | 30.5513 | 30.5448 | 30.5562 |
| Building | 2 | 90 156 | 90 156 | 90 156 | 17.8071 | 17.8071 | 17.8071 | 3 | 84 139 191 | 84 139 190 | 83 141 194 | 22.3895 | 22.3893 | 22.3876 | 4 | 20 84 141 193 | 20 84 141 192 | 20 83 139 192 | 26.7108 | 26.7105 | 26.7106 | 5 | 20 81 131 170 213 | 20 83 136 177 218 | 20 81 134 173 214 | 30.7119 | 30.8631 | 30.8983 |
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