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<h1>Warping</h1>

<p><img src="../i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> <span style="font-weight: bold;"><B>Warping</B></span> indicates 
 that a face is not planar and is applied only to 2D elements with 4 nodes. 
 This quality control criterion is based on a projection plane created 
 by:</p>

<p class="whs2">1. bisecting the four element edges, </p>

<p class="whs2">2. creating a point on the plane at the vector 
 average of the corners, where the x-axis extends from the point to the 
 bisector on edge 2. </p>

<p class="whs3">The plane normal is in the direction of the 
 cross product of the x-axis and the vector from the origin to the bisector 
 of edge 3. Every corner of the quad will then be a distance �h� from the 
 plane. The length of each half edge is measured and the shortest length 
 is assigned �l�. The warp angle is the arcsine of the ratio of the projection 
 height �h� to the half edge length �l�. </p>

<p>&nbsp;</p>

<p class="whs2"><img src="../image24.gif" width="496px" height="336px" border="0" class="img_whs4"></p>

<p class="whs2">&nbsp;</p>

<p class=TODO>&nbsp;</p>

<p class=TODO>To apply the Warping quality criterion to your mesh:</p>

<p class=TODO>&nbsp;</p>

<p class="whs2">1. Display your mesh in the viewer.</p>

<p class="whs2">&nbsp;</p>

<p class="whs2">2. Choose <span style="font-weight: bold;"><B>Quality 
 Controls &gt; Warp </B></span>or click <img src="../image39.gif" width="23px" height="23px" border="0" class="img_whs5"> button of the toolbar. 
 Your mesh will be displayed in the viewer with its elements colored according 
 to the applied mesh quality control criterion:</p>

<p class="whs2">&nbsp;</p>

<p class="whs2"><img src="../image9.jpg" width="467px" height="326px" border="0" class="img_whs6"></p>

<p class="whs2">&nbsp;</p>

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