Robust Locally Weighted Regression for Profile Measurement of Magnesium Alloy Tube in Hot Bending Process

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left">Fitting error</td><td class="align_center">Original data</td><td class="align_center">After removing outliers</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left">SSE</td><td class="align_center">7.1938<i>e</i> − 06</td><td class="align_center">2.1157<i>e</i> − 06</td></tr><tr><td class="align_left">RMSE</td><td class="align_center">1.5750<i>e</i> − 04</td><td class="align_center">8.6617<i>e</i> − 05</td></tr><tr><td class="align_left">MSE</td><td class="align_center">2.4806<i>e</i> − 08</td><td class="align_center">7.5024<i>e</i> − 09</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Ellipse fitting error before and after removing outliers.</div>

Mathematical Problems in Engineering

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Table 2

Table 2: Robust Locally Weighted Regression for Profile Measurement of Magnesium Alloy Tube in Hot Bending Process 