Automatic Circle Detection on Images Based on an Evolutionary Algorithm That Reduces the Number of Function Evaluations

Selection strategy for building <svg height="16.75" id="M124" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 17.112499 16.75" width="17.112499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,16.7)"><path d="M16 651v25h315q130 0 199.5 -46t69.5 -135q0 -60 -33.5 -104.5t-95.5 -67.5q-29 -11 -71 -16q-30 -2 -138 -4v-192q0 -51 14 -65q13 -13 73 -21v-25h-333v25q33 3 45 9q23 9 31 29t8 63v427q0 59 -16 75q-15 18 -68 23zM262 606v-268q95 2 130 32q36 32 36 114
q0 84 -27 120.5t-89 36.5q-50 0 -50 -35z" id="x1D40F"></path></g>
<g transform="matrix(.012,-0,0,-.012,10.45,8.538)"><path d="M480 416q0 -21 -18 -41q-9 -11 -17 -7q-20 9 -42 9q-62 0 -140 -78q23 -69 88 -192q17 -31 27 -42t20 -11q16 0 62 46l17 -20q-64 -92 -119 -92q-35 0 -70 66q-41 73 -84 187q-36 -30 -62 -61q-27 -115 -35 -172q-41 -8 -78 -20l-6 6l140 612q7 28 0.5 34t-37.5 7l-34 1
l5 26q38 4 74 13.5t57 17t25 7.5q12 0 4 -32l-104 -443h2q35 38 97 93q39 35 65.5 56t62 41.5t58.5 20.5q19 0 30.5 -10t11.5 -22z" id="x1D458"></path></g>
</svg>.

Mathematical Problems in Engineering

alg2

Algorithm 2

Algorithm 2: Automatic Circle Detection on Images Based on an Evolutionary Algorithm That Reduces the Number of Function Evaluations 