Visualizing Exact and Approximated 3D Empirical  Attainment Functions

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="569346.fig.006a" src="https://static.hindawi.com/articles/mpe/volume-2014/569346/figures/569346.fig.006a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Opposite of <svg height="14.4397pt" id="M258" style="vertical-align:-2.3616pt" version="1.1" viewbox="-0.0498162 -12.0781 37.28 14.4397" width="37.28pt" 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="M293 -169V-141C218 -131 209 -90 209 -44C209 19 222 85 222 152C222 207 198 255 139 269V273C199 286 222 334 222 388C222 454 209 523 209 588C209 632 218 671 293 681V709C234 709 148 695 148 577C147 513 155 438 155 372C155 337 152 291 64 285V256C152 250 155 204 155 169C156 105 148 31 148 -41C148 -157 234 -169 293 -169Z" id="g113-124"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="347" vert-adv-y="347"></glyph.data></g><g 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<table>Two steps in the construction of the opposite of the approximation set <svg height="9.38774pt" id="M257" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -9.33792 9.51013 9.38774" width="9.51013pt" 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="M669 636L663 650H260C230 650 221 652 208 675H186C177 621 162 548 144 481L173 479C195 534 211 560 226 578C248 604 266 615 373 615H544C460 511 114 112 23 16L31 0H561C577 34 611 135 622 170L594 182C566 125 544 88 515 65C481 38 416 35 319 35C249 35 197 37 152 41C270 184 542 501 669 636Z" id="g113-91"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="692" vert-adv-y="692"></glyph.data></g></svg>.</table>

Mathematical Problems in Engineering

fig6

Figure 6

Figure 6: Visualizing Exact and Approximated 3D Empirical  Attainment Functions 