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91 <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
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92 that a face is not planar and is applied only to 2D elements with 4 nodes.
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93 This quality control criterion is based on a projection plane created
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96 <p class="whs2">1. bisecting the four element edges, </p>
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98 <p class="whs2">2. creating a point on the plane at the vector
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99 average of the corners, where the x-axis extends from the point to the
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100 bisector on edge 2. </p>
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102 <p class="whs3">The plane normal is in the direction of the
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103 cross product of the x-axis and the vector from the origin to the bisector
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104 of edge 3. Every corner of the quad will then be a distance
\93h
\94 from the
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105 plane. The length of each half edge is measured and the shortest length
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106 is assigned
\93l
\94. The warp angle is the arcsine of the ratio of the projection
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107 height
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\94 to the half edge length
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\94. </p>
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111 <p class="whs2"><img src="../image24.gif" width="496px" height="336px" border="0" class="img_whs4"></p>
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113 <p class="whs2"> </p>
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115 <p class=TODO> </p>
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117 <p class=TODO>To apply the Warping quality criterion to your mesh:</p>
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119 <p class=TODO> </p>
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121 <p class="whs2">1. Display your mesh in the viewer.</p>
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123 <p class="whs2"> </p>
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125 <p class="whs2">2. Choose <span style="font-weight: bold;"><B>Controls
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126 > Warp </B></span>or click <img src="../image39.gif" width="23px" height="23px" border="0" class="img_whs5"> button of the toolbar. Your mesh
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127 will be displayed in the viewer with its elements colored according to
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128 the applied mesh quality control criterion:</p>
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130 <p class="whs2"> </p>
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132 <p class="whs2"><img src="../image97.jpg" width="405px" height="308px" border="0" class="img_whs6"></p>
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134 <p class="whs2"> </p>
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136 <p class="whs3"><span style="font-weight: bold;"><B>See Also</B></span>
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137 a sample TUI Script of a <a href="../quality_controls.htm#bookmark10">Warping
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138 quality control</a> operation. </p>
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142 <p class="whs2"> </p>
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