An Efficient Secret Key Homomorphic Encryption Used in Image Processing Service

<table class="figure-group"><tr class="fig-image" id="a"><td><object data="https://static.hindawi.com/articles/scn/volume-2017/7695751/figures/7695751.fig.003a.svgz" name="7695751.fig.003a" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(a) </b>No processing</td></tr><tr class="fig-image" id="b"><td><object data="https://static.hindawi.com/articles/scn/volume-2017/7695751/figures/7695751.fig.003b.svgz" name="7695751.fig.003b" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(b) </b>Color Trans. (grayness)</td></tr><tr class="fig-image" id="c"><td><object data="https://static.hindawi.com/articles/scn/volume-2017/7695751/figures/7695751.fig.003c.svgz" name="7695751.fig.003c" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(c) </b>Color Trans. (randomly)</td></tr><tr class="fig-image" id="d"><td><object data="https://static.hindawi.com/articles/scn/volume-2017/7695751/figures/7695751.fig.003d.svgz" name="7695751.fig.003d" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(d) </b>Image addition</td></tr></table>

<div>The result of <svg height="11.4859pt" id="M491" style="vertical-align:-0.04979992pt" version="1.1" viewbox="-0.0498162 -11.4361 11.7114 11.4859" width="11.7114pt" 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="M42 650V615C112 608 121 601 121 516V133C121 48 112 41 37 34V0H347V34C262 41 253 48 253 133V271L321 254C332 254 347 254 362 256C468 269 567 330 567 464C567 529 540 579 493 611C453 639 397 650 318 650H42ZM253 570C253 585 255 595 262 601C268 606 280 611 299 611C360 611 423 574 423 461C423 326 343 300 307 300C286 300 265 305 253 310V570Z" id="g13-78"></path><glyph.data ascent="1024" descent="-360" horiz-adv-x="599" vert-adv-y="599"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,7.787,-5.741)"><path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z" id="g50-31"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="361" vert-adv-y="361"></glyph.data></g></svg> and Dec(<svg height="11.6686pt" id="M492" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -11.4361 12.7161 11.6686" width="12.7161pt" 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="M625 186C574 85 512 32 429 32C293 32 194 153 194 337C194 485 274 621 419 621C496 621 573 586 606 468L643 475C636 537 629 583 620 638C593 644 519 665 438 665C199 665 42 523 42 317C42 158 152 -15 418 -15C486 -15 578 5 604 11C621 46 647 122 660 171L625 186Z" id="g13-65"></path><glyph.data ascent="1024" descent="-360" horiz-adv-x="676" vert-adv-y="676"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,8.788,-5.741)"><path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z" id="g50-31"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="361" vert-adv-y="361"></glyph.data></g></svg>).</div>

Security and Communication Networks

fig3

Figure 3

Figure 3: An Efficient Secret Key Homomorphic Encryption Used in Image Processing Service 