A New One-Dimensional Chaotic Map and Its Use in a Novel Real-Time Image Encryption Scheme

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="409586.fig.006a" src="https://static.hindawi.com/articles/am/volume-2014/409586/figures/409586.fig.006a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>The box-counting dimension</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="409586.fig.006b" src="https://static.hindawi.com/articles/am/volume-2014/409586/figures/409586.fig.006b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>The correlation dimension</td></tr></table></td></tr></table>

<table>The fractal dimensions of the attractor of the <svg height="17.4" id="M150" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 16.6875 17.4" width="16.6875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><path d="M619 670q0 -13 -9 -26t-18 -19q-13 -10 -25 2q-36 38 -66 38q-31 0 -54.5 -50t-45.5 -185h120l-20 -31l-107 -12q-23 -138 -57 -293q-27 -122 -55 -184.5t-75 -109.5q-60 -61 -114 -61q-25 0 -47.5 15t-22.5 31q0 17 31 44q11 8 20 -1q10 -11 31 -19t35 -8q26 0 47 19
q34 34 71 253l54 315h-90l-3 12l31 30h70q28 138 90 204q35 37 75 57.5t70 20.5q26 0 45 -14t19 -28z" id="x1D453"></path></g>
<g transform="matrix(.012,-0,0,-.012,10.975,17.2)"><path d="M393 379q-9 -16 -28 -29q-15 -10 -23 -2q-19 19 -36 19q-21 0 -52 -38q-57 -72 -82 -126l-40 -197q-23 -3 -75 -18l-7 7q49 196 74 335q7 43 -2 43q-7 0 -30 -14.5t-47 -37.5l-16 23q37 42 82 73t67 31q41 0 15 -113l-11 -50h4q41 71 85 117t77 46q29 0 45 -26
q13 -21 0 -43z" id="x1D45F"></path></g>
</svg> map.</table>

Advances in Multimedia

fig6

Figure 6

Figure 6: A New One-Dimensional Chaotic Map and Its Use in a Novel Real-Time Image Encryption Scheme 