A Hybrid Method for Image Segmentation Based on Artificial Fish Swarm Algorithm and Fuzzy <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.2724395pt" id="M1" height="8.19251pt" version="1.1" viewBox="-0.0657574 -7.92007 7.21072 8.19251" width="7.21072pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g50-100" d="M387 400C387 425 348 451 303 451C247 451 176 414 132 376C69 322 24 228 24 148C24 43 74 -12 147 -12C211 -12 301 33 363 103L346 128C319 99 249 51 193 51C148 51 112 84 112 165C112 230 130 287 154 330C170 359 199 400 243 400C277 400 304 383 326 354C333 345 343 343 354 348C378 360 387 382 387 400Z"/></g></svg>-Means Clustering

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="9"><hr/></td></tr><tr class="thead"><td align="left" rowspan="2">Simulation image </td><td align="center" rowspan="2"> Algorithm  </td><td align="center" colspan="7"> Evaluation indexes</td></tr><tr class="thead"><td align="center"><span style="width: 6.0368ptpx;"><svg height="10.6169pt" id="M215" style="vertical-align:-2.020161pt" version="1.1" viewbox="-0.0498162 -8.59674 6.0368 10.6169" width="6.0368pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M434 650H168L162 618C248 609 258 608 243 528L174 155C163 93 153 39 138 1C110 -68 67 -98 24 -111L37 -147C55 -144 75 -136 94 -128C185 -87 232 -12 259 139L328 528C342 605 349 609 427 618L434 650Z" id="g50-75"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="458" vert-adv-y="458"></glyph.data></g></svg></span></td><td align="center"> PSNR </td><td align="center"> vpc </td><td align="center"> vpe </td><td align="center"> Accuracy </td><td align="center"> JS </td><td align="center"> MSE</td></tr><tr><td class="thead-hr" colspan="9"><hr/></td></tr><tr><td align="left" rowspan="3">MRI </td><td align="center"> FCM </td><td align="center"><span style="width: 56.9486ptpx;"><svg height="8.95973pt" id="M216" style="vertical-align:-0.3629904pt" version="1.1" viewbox="-0.0498162 -8.59674 56.9486 8.95973" width="56.9486pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z" id="g50-50"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,6.331,0)"><path d="M117 -12C153 -12 178 12 178 50C178 84 153 110 118 110C84 110 59 84 59 50C59 12 84 -12 117 -12Z" 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375V377Z" id="g50-52"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,22.074,0)"><path d="M615 650H141L132 618C223 612 227 607 212 526L136 123C122 42 112 38 27 32L18 0H522C539 33 580 135 592 166L558 179C536 139 512 100 486 75C454 48 420 41 345 41C287 41 252 42 237 55C221 68 220 100 231 158L261 316H357C455 316 455 309 455 235H489L529 437H494C468 366 460 360 369 360H269L305 565C315 609 316 611 357 611H450C525 611 535 599 548 578C559 556 561 526 560 482L595 486L615 650Z" id="g50-70"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="639" vert-adv-y="639"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,33.114,0)"><path d="M556 236V289H337V504H275V289H56V236H275V-4H337V236H556Z" id="g54-36"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="611" vert-adv-y="611"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,43.997,0)"><path d="M245 635C92 635 37 457 37 312C37 149 91 -12 244 -12C395 -12 449 166 449 312C449 469 395 635 245 635ZM243 598C332 598 358 454 358 312C358 173 334 26 245 26C158 26 128 174 128 313S152 598 243 598Z" id="g50-49"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,50.328,0)"><path d="M453 623H65C60 580 56 530 46 472H80C103 538 110 548 175 548H389C310 380 195 168 90 0L98 -12L175 -2C273 206 366 408 462 610L453 623Z" id="g50-56"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g></svg></span></td><td align="center">17.9176</td><td align="center">0.7735</td><td align="center">0.6043</td><td align="center">0.6554</td><td align="center">0.4874</td><td align="center">45.2549</td></tr><tr><td align="center"> SFCM</td><td align="center"><span style="width: 56.9486ptpx;"><svg height="8.95973pt" id="M217" style="vertical-align:-0.3629904pt" version="1.1" viewbox="-0.0498162 -8.59674 56.9486 8.95973" 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align="center"><b>0.5860</b></td><td align="center">0.6890</td><td align="center">0.5255</td><td align="center">44.2323</td></tr><tr><td align="center">HAFSA</td><td align="center"><span style="width: 57.849ptpx;"><svg height="9.05108pt" id="M218" style="vertical-align:-0.3629894pt" version="1.1" viewbox="-0.0498162 -8.68809 57.849 9.05108" width="57.849pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M257 635C101 635 25 509 25 419C25 312 99 229 220 229C237 229 254 234 278 246L328 272C302 155 197 53 48 27L55 -15C99 -14 188 2 228 18C369 73 478 199 478 382C478 518 403 635 257 635ZM236 589C313 589 339 482 339 386C339 366 338 342 334 315C320 309 304 303 279 303C206 303 159 375 159 459C159 522 183 589 236 589Z" id="g22-55"></path><glyph.data ascent="1041" descent="-369" horiz-adv-x="507" vert-adv-y="507"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,6.591,0)"><path d="M117 -12C153 -12 178 12 178 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transform="matrix(.013,0,0,-0.013,51.05,0)"><path d="M182 362C213 481 298 537 348 562C383 579 427 591 457 597L449 641C411 636 339 622 298 609C180 570 28 457 28 245C28 84 128 -12 256 -12C390 -12 487 89 487 216C487 331 410 405 292 405C276 405 257 397 233 386L182 362ZM237 330C305 330 354 266 354 172C354 113 339 35 277 35C224 35 169 109 169 241C169 262 171 304 176 320C196 327 214 330 237 330Z" id="g22-52"></path><glyph.data ascent="1041" descent="-369" horiz-adv-x="507" vert-adv-y="507"></glyph.data></g></svg></span></td><td align="center"><b>20.7944</b></td><td align="center"><b>0.8129</b></td><td align="center">0.5876 </td><td align="center"><b>0.9435</b></td><td align="center"><b>0.8930</b></td><td align="center"><b>32.9370</b></td></tr><tr class="table-tr"><td colspan="9"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Computational and Mathematical Methods in Medicine

tab2

Table 2

Table 2: A Hybrid Method for Image Segmentation Based on Artificial Fish Swarm Algorithm and Fuzzy <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.2724395pt" id="M1" height="8.19251pt" version="1.1" viewBox="-0.0657574 -7.92007 7.21072 8.19251" width="7.21072pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g50-100" d="M387 400C387 425 348 451 303 451C247 451 176 414 132 376C69 322 24 228 24 148C24 43 74 -12 147 -12C211 -12 301 33 363 103L346 128C319 99 249 51 193 51C148 51 112 84 112 165C112 230 130 287 154 330C170 359 199 400 243 400C277 400 304 383 326 354C333 345 343 343 354 348C378 360 387 382 387 400Z"/></g></svg>-Means Clustering 

Computational and Mathematical Methods in Medicine

A Hybrid Method for Image Segmentation Based on Artificial Fish Swarm Algorithm and Fuzzy -Means Clustering

Table 2