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96 <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
97 that a face is not planar and is applied only to 2D elements with 4 nodes.
98 This quality control criterion is based on a projection plane created
101 <p class="whs2">1. bisecting the four element edges, </p>
103 <p class="whs2">2. creating a point on the plane at the vector
104 average of the corners, where the x-axis extends from the point to the
105 bisector on edge 2. </p>
107 <p class="whs3">The plane normal is in the direction of the
108 cross product of the x-axis and the vector from the origin to the bisector
109 of edge 3. Every corner of the quad will then be a distance
\93h
\94 from the
110 plane. The length of each half edge is measured and the shortest length
111 is assigned
\93l
\94. The warp angle is the arcsine of the ratio of the projection
112 height
\93h
\94 to the half edge length
\93l
\94. </p>
116 <p class="whs2"><img src="../image24.gif" width="496px" height="336px" border="0" class="img_whs4"></p>
118 <p class="whs2"> </p>
120 <p class=TODO> </p>
122 <p class=TODO>To apply the Warping quality criterion to your mesh:</p>
124 <p class=TODO> </p>
126 <p class="whs2">1. Display your mesh in the viewer.</p>
128 <p class="whs2"> </p>
130 <p class="whs2">2. Choose <span style="font-weight: bold;"><B>Controls
131 > Warp </B></span>or click <img src="../image39.gif" width="23px" height="23px" border="0" class="img_whs5"> button of the toolbar. Your mesh
132 will be displayed in the viewer with its elements colored according to
133 the applied mesh quality control criterion:</p>
135 <p class="whs2"> </p>
137 <p class="whs2"><img src="../image97.jpg" width="405px" height="308px" border="0" class="img_whs6"></p>
139 <p class="whs2"> </p>
141 <p class="whs3"><span style="font-weight: bold;"><B>See Also</B></span>
142 a sample TUI Script of a <a href="../quality_controls.htm#bookmark10">Warping
143 quality control</a> operation. </p>
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