Local- and Global-Statistics-Based Active Contour Model for Image Segmentation

<table>Influence of the parameter <svg height="16.6625" id="M175" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 10 16.6625" width="10" 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="M558 587q0 -32 -14 -61t-40 -53.5t-48.5 -41t-54.5 -36.5q144 -51 144 -174q0 -55 -43.5 -108t-104.5 -87q-77 -42 -131 -42q-31 0 -54 20t-31 47l11 18q48 -29 108 -29q79 0 119.5 43t40.5 109t-44.5 107.5t-119.5 50.5l22 47q34 1 65 21q96 61 96 157q0 42 -24 67.5
t-62 25.5q-24 0 -43.5 -9t-35 -29.5t-27 -44t-22.5 -63t-19.5 -75.5t-18.5 -91q-57 -294 -68 -380q-26 -190 -35 -200q-26 -31 -97 -37l-4 26q19 9 48 170l77 413q23 121 52.5 187.5t83.5 114.5q70 62 148 62q51 0 88.5 -34t37.5 -91z" id="x1D6FD"></path></g>
</svg> on the detail level of segmentation. (a) The original image. (b) The initial contour. (c) <svg height="16.6625" id="M176" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 37.587502 16.6625" width="37.587502" 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)"><use xlink:href="#x1D6FD"></use></g><g transform="matrix(.017,-0,0,-.017,14.647,12.162)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,29.351,12.162)"><use xlink:href="#x31"></use></g>
</svg>. (d) <svg height="16.6625" id="M177" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 45.737499 16.6625" width="45.737499" 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)"><use xlink:href="#x1D6FD"></use></g><g transform="matrix(.017,-0,0,-.017,14.647,12.162)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,29.351,12.162)"><use xlink:href="#x31"></use></g><g transform="matrix(.017,-0,0,-.017,37.511,12.162)"><path d="M241 635q53 0 94 -28.5t63.5 -76t33.5 -102.5t11 -116q0 -58 -11 -112.5t-34 -103.5t-63.5 -78.5t-94.5 -29.5t-95 28t-64.5 75t-34.5 102.5t-11 118.5q0 58 11.5 112.5t34.5 103t64.5 78t95.5 29.5zM238 602q-32 0 -55.5 -25t-35.5 -68t-17.5 -91t-5.5 -105
q0 -76 10 -138.5t37 -107.5t69 -45q32 0 55.5 25t35.5 68.5t17.5 91.5t5.5 105t-5.5 105.5t-18 92t-36 68t-56.5 24.5z" id="x30"></path></g>
</svg>. (e) <svg height="16.6625" id="M178" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 45.737499 16.6625" width="45.737499" 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)"><use xlink:href="#x1D6FD"></use></g><g transform="matrix(.017,-0,0,-.017,14.647,12.162)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,29.351,12.162)"><use xlink:href="#x32"></use></g><g transform="matrix(.017,-0,0,-.017,37.511,12.162)"><use xlink:href="#x30"></use></g>
</svg>. (f) <svg height="16.6625" id="M179" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 45.737499 16.6625" width="45.737499" 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)"><use xlink:href="#x1D6FD"></use></g><g transform="matrix(.017,-0,0,-.017,14.647,12.162)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,29.351,12.162)"><path d="M153 550l-26 -186q79 31 111 31q90 0 141.5 -51t51.5 -119q0 -93 -89 -166q-85 -69 -173 -71q-32 0 -61.5 11.5t-41.5 23.5q-18 17 -17 34q2 16 22 33q14 9 26 -1q61 -50 124 -50q60 0 93 43.5t33 104.5q0 69 -41.5 110t-121.5 41q-53 0 -102 -20l38 305h286l6 -8
l-26 -65h-233z" id="x35"></path></g><g transform="matrix(.017,-0,0,-.017,37.511,12.162)"><use xlink:href="#x30"></use></g>
</svg>.</table>

Mathematical Problems in Engineering

fig9

Figure 9

Figure 9: Local- and Global-Statistics-Based Active Contour Model for Image Segmentation 