A Combined Approach on RBC Image Segmentation through Shape Feature Extraction

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td align="left"></td><td align="center"><span style="width: 40.900002px;"><svg height="11.375" id="M110" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 40.900002 11.375" width="40.900002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.017,-0,0,-.017,.062,11.112)"><path d="M865 650q-1 -4 -4 -14t-4 -14q-62 -5 -77 -19.5t-29 -82.5l-74 -394q-12 -61 -0.5 -77t75.5 -21l-6 -28h-273l8 28q64 5 82 21t29 76l36 198h-380l-37 -197q-11 -64 0.5 -78.5t79.5 -19.5l-6 -28h-268l6 28q60 6 75.5 21.5t26.5 76.5l75 394q13 66 2 81.5t-77 20.5l8 28
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</svg></span></td><td align="center">Peak <svg height="15.0875" id="M114" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 50.787498 15.0875" width="50.787498" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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t37 -4h417q23 0 33.5 5t25.5 21h23z" id="x1D447"></path></g><g transform="matrix(.017,-0,0,-.017,21.974,12.138)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,36.678,12.138)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g><g transform="matrix(.017,-0,0,-.017,44.837,12.138)"><path d="M275 270q0 -296 -211 -440l-19 23q75 62 116.5 174t41.5 243t-42 243t-116 173l19 24q211 -144 211 -440z" id="x29"></path></g>
</svg></td><td align="center">Ridge <svg height="15.0875" id="M115" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 50.787498 15.0875" width="50.787498" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.138)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,5.944,12.138)"><use xlink:href="#x1D447"></use></g><g transform="matrix(.017,-0,0,-.017,21.974,12.138)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,36.678,12.138)"><path d="M412 140l28 -9q0 -2 -35 -131h-373v23q112 112 161 170q59 70 92 127t33 115q0 63 -31 98t-86 35q-75 0 -137 -93l-22 20l57 81q55 59 135 59q69 0 118.5 -46.5t49.5 -122.5q0 -62 -29.5 -114t-102.5 -130l-141 -149h186q42 0 58.5 10.5t38.5 56.5z" id="x32"></path></g><g transform="matrix(.017,-0,0,-.017,44.837,12.138)"><use xlink:href="#x29"></use></g>
</svg></td><td align="center">Saddle ridge <svg height="15.0875" id="M116" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 50.787498 15.0875" width="50.787498" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.138)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,5.944,12.138)"><use xlink:href="#x1D447"></use></g><g transform="matrix(.017,-0,0,-.017,21.974,12.138)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,36.678,12.138)"><path d="M285 378v-2q65 -13 102 -54.5t37 -97.5q0 -57 -30.5 -104.5t-74 -75t-85.5 -42t-72 -14.5q-31 0 -59.5 11t-40.5 23q-19 18 -16 36q1 16 23 33q13 10 24 0q58 -51 124 -51q55 0 88 40t33 112q0 64 -39 96.5t-88 32.5q-29 0 -64 -11l-6 29q77 25 118 57.5t41 84.5
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<g transform="matrix(.017,-0,0,-.017,.062,11.112)"><use xlink:href="#x1D43B"></use></g><g transform="matrix(.017,-0,0,-.017,19.679,11.112)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,34.383,11.112)"><use xlink:href="#x30"></use></g>
</svg></span></td><td align="center">None <svg height="15.0875" id="M118" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 50.787498 15.0875" width="50.787498" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.138)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,5.944,12.138)"><use xlink:href="#x1D447"></use></g><g transform="matrix(.017,-0,0,-.017,21.974,12.138)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,36.678,12.138)"><path d="M456 178h-96v-72q0 -51 12.5 -62.5t72.5 -16.5v-27h-256v27q65 5 78 17t13 62v72h-260v28q182 271 300 426h40v-407h96v-47zM280 225v295h-2q-107 -148 -196 -295h198z" id="x34"></path></g><g transform="matrix(.017,-0,0,-.017,44.837,12.138)"><use xlink:href="#x29"></use></g>
</svg></td><td align="center">Flat <svg height="15.0875" id="M119" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 50.787498 15.0875" width="50.787498" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.138)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,5.944,12.138)"><use xlink:href="#x1D447"></use></g><g transform="matrix(.017,-0,0,-.017,21.974,12.138)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,36.678,12.138)"><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
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</svg></td><td align="center">Minimal surface <svg height="15.0875" id="M120" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 50.787498 15.0875" width="50.787498" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.138)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,5.944,12.138)"><use xlink:href="#x1D447"></use></g><g transform="matrix(.017,-0,0,-.017,21.974,12.138)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,36.678,12.138)"><path d="M137 343l67 33q37 17 63 17q79 0 129.5 -53t50.5 -131q0 -92 -58 -156.5t-147 -64.5t-147 68t-58 182q0 63 17 119t43 95.5t61.5 72t69 52t67.5 31.5q62 22 128 33l6 -32q-56 -11 -108 -35q-149 -71 -184 -231zM227 337q-47 0 -95 -27q-6 -23 -6 -70q0 -93 36 -155.5
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</svg></td></tr><tr><td align="left"><span style="width: 42.612499px;"><svg height="11.375" id="M121" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 42.612499 11.375" width="42.612499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.112)"><use xlink:href="#x1D43B"></use></g><g transform="matrix(.017,-0,0,-.017,19.679,11.112)"><use xlink:href="#x3E"></use></g><g transform="matrix(.017,-0,0,-.017,34.383,11.112)"><use xlink:href="#x30"></use></g>
</svg></span></td><td align="center">Pit <svg height="15.0875" id="M122" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 50.787498 15.0875" width="50.787498" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></td><td align="center">Valley <svg height="15.0875" id="M123" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 50.787498 15.0875" width="50.787498" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></td><td align="center">Saddle valley <svg height="15.0875" id="M124" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 50.787498 15.0875" width="50.787498" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.138)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,5.944,12.138)"><use xlink:href="#x1D447"></use></g><g transform="matrix(.017,-0,0,-.017,21.974,12.138)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,36.678,12.138)"><path d="M244 635q90 0 143 -72t53 -177q0 -133 -65 -229.5t-171 -139.5q-79 -32 -140 -32l-5 30q109 18 185 91t101 186l-68 -36q-29 -16 -60 -16q-79 0 -129 51.5t-50 130.5q0 80 57 146.5t149 66.5zM228 602q-52 0 -78 -45.5t-26 -98.5q0 -69 36.5 -115.5t97.5 -46.5
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</svg></td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Surface type defined by mean and Gaussian curvature.

Mathematical Problems in Engineering

tab3

Table 3

Table 3: A Combined Approach on RBC Image Segmentation through Shape Feature Extraction 