Color Enhancement in Endoscopic Images Using Adaptive Sigmoid Function and Space Variant Color Reproduction

<table class="table-group" id="tab9"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td align="left">Processed image</td><td align="center">Histogram of <svg height="9.21094pt" id="M177" style="vertical-align:-0.2129908pt" version="1.1" viewbox="-0.0498162 -8.99795 8.62618 9.21094" width="8.62618pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M610 18C585 26 567 34 540 68C517 97 499 128 476 171C452 215 425 276 413 304C496 332 570 394 570 494C570 555 545 595 509 619S419 650 364 650H139L133 622C216 615 219 612 203 527L129 132C112 40 105 36 23 28L17 0H279L285 28C199 34 194 40 211 132L239 284H284C320 284 334 275 351 236C374 182 394 140 420 93C459 23 495 -1 592 -8H600L610 18ZM480 485C480 424 449 372 403 342C374 323 338 316 293 316H245L291 562C296 589 301 601 311 608S337 618 358 618C432 618 480 575 480 485Z" id="g113-83"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="627" vert-adv-y="627"></glyph.data></g></svg> plane</td><td align="center">Histogram of <svg height="9.21094pt" id="M178" style="vertical-align:-0.2129908pt" version="1.1" viewbox="-0.0498162 -8.99795 9.40133 9.21094" width="9.40133pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M673 297H417L411 270C517 261 522 258 506 183L487 92C476 38 428 19 360 19C207 19 123 132 123 287C123 472 243 631 441 631C557 631 617 583 617 469L647 472C650 545 655 604 658 632C625 643 554 666 467 666C201 666 23 502 23 278C23 90 156 -16 339 -16C410 -16 501 6 569 24C566 43 567 70 573 101L589 183C604 259 607 262 667 271L673 297Z" id="g113-72"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="684" vert-adv-y="684"></glyph.data></g></svg> plane</td><td align="center">Histogram of <svg height="9.04777pt" id="M179" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -8.99795 8.27261 9.04777" width="8.27261pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M578 512C578 619 494 650 387 650H140L134 622C219 615 223 609 210 542L127 119C112 40 104 34 23 28L17 0H235C317 0 387 7 444 33C515 65 564 122 564 195C564 289 495 335 412 352V354C505 373 578 422 578 512ZM486 510C486 422 423 367 314 367H257L294 565C299 591 305 602 315 608C324 614 339 617 362 617C421 617 486 595 486 510ZM466 200C466 100 393 35 296 35C222 35 198 51 212 127L250 333H303C388 333 466 303 466 200Z" id="g113-67"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="601" vert-adv-y="601"></glyph.data></g></svg> plane</td></tr><tr><td align="center" colspan="4"><hr/></td></tr><tr><td align="left"><object data="https://static.hindawi.com/articles/cmmm/volume-2015/607407/figures/607407.table.0014a.svgz" name="607407.table.0014a" type="image/svg+xml"></object></td><td align="center"><object data="https://static.hindawi.com/articles/cmmm/volume-2015/607407/figures/607407.table.0014b.svgz" name="607407.table.0014b" type="image/svg+xml"></object></td><td align="center"><object data="https://static.hindawi.com/articles/cmmm/volume-2015/607407/figures/607407.table.0014c.svgz" name="607407.table.0014c" type="image/svg+xml"></object></td><td align="center"><object data="https://static.hindawi.com/articles/cmmm/volume-2015/607407/figures/607407.table.0014d.svgz" name="607407.table.0014d" type="image/svg+xml"></object></td></tr><tr><td align="center" colspan="4"><hr/></td></tr><tr><td align="left"><object data="https://static.hindawi.com/articles/cmmm/volume-2015/607407/figures/607407.table.0014e.svgz" name="607407.table.0014e" type="image/svg+xml"></object></td><td align="center"><object data="https://static.hindawi.com/articles/cmmm/volume-2015/607407/figures/607407.table.0014f.svgz" name="607407.table.0014f" type="image/svg+xml"></object></td><td align="center"><object data="https://static.hindawi.com/articles/cmmm/volume-2015/607407/figures/607407.table.0014g.svgz" name="607407.table.0014g" type="image/svg+xml"></object></td><td align="center"><object data="https://static.hindawi.com/articles/cmmm/volume-2015/607407/figures/607407.table.0014h.svgz" name="607407.table.0014h" type="image/svg+xml"></object></td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Histogram of <svg height="9.21094pt" id="M174" style="vertical-align:-0.2129908pt" version="1.1" viewbox="-0.0498162 -8.99795 8.62618 9.21094" width="8.62618pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M610 18C585 26 567 34 540 68C517 97 499 128 476 171C452 215 425 276 413 304C496 332 570 394 570 494C570 555 545 595 509 619S419 650 364 650H139L133 622C216 615 219 612 203 527L129 132C112 40 105 36 23 28L17 0H279L285 28C199 34 194 40 211 132L239 284H284C320 284 334 275 351 236C374 182 394 140 420 93C459 23 495 -1 592 -8H600L610 18ZM480 485C480 424 449 372 403 342C374 323 338 316 293 316H245L291 562C296 589 301 601 311 608S337 618 358 618C432 618 480 575 480 485Z" id="g113-83"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="627" vert-adv-y="627"></glyph.data></g></svg>, <svg height="9.21094pt" id="M175" style="vertical-align:-0.2129908pt" version="1.1" viewbox="-0.0498162 -8.99795 9.40133 9.21094" width="9.40133pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M673 297H417L411 270C517 261 522 258 506 183L487 92C476 38 428 19 360 19C207 19 123 132 123 287C123 472 243 631 441 631C557 631 617 583 617 469L647 472C650 545 655 604 658 632C625 643 554 666 467 666C201 666 23 502 23 278C23 90 156 -16 339 -16C410 -16 501 6 569 24C566 43 567 70 573 101L589 183C604 259 607 262 667 271L673 297Z" id="g113-72"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="684" vert-adv-y="684"></glyph.data></g></svg>, and <svg height="9.04777pt" id="M176" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -8.99795 8.27261 9.04777" width="8.27261pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M578 512C578 619 494 650 387 650H140L134 622C219 615 223 609 210 542L127 119C112 40 104 34 23 28L17 0H235C317 0 387 7 444 33C515 65 564 122 564 195C564 289 495 335 412 352V354C505 373 578 422 578 512ZM486 510C486 422 423 367 314 367H257L294 565C299 591 305 602 315 608C324 614 339 617 362 617C421 617 486 595 486 510ZM466 200C466 100 393 35 296 35C222 35 198 51 212 127L250 333H303C388 333 466 303 466 200Z" id="g113-67"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="601" vert-adv-y="601"></glyph.data></g></svg> planes in terms of uniform distribution (a) without and (b) with color reproduction.

Computational and Mathematical Methods in Medicine

tab9

Table 9

Table 9: Color Enhancement in Endoscopic Images Using Adaptive Sigmoid Function and Space Variant Color Reproduction 