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2005-11-28 14:57:47 +05:00
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<h1>Warping</h1>
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<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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that a face is not planar and is applied only to 2D elements with 4 nodes.
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This quality control criterion is based on a projection plane created
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by:</p>
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<p class="whs2">1. bisecting the four element edges, </p>
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<p class="whs2">2. creating a point on the plane at the vector
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average of the corners, where the x-axis extends from the point to the
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bisector on edge 2. </p>
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<p class="whs3">The plane normal is in the direction of the
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cross product of the x-axis and the vector from the origin to the bisector
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of edge 3. Every corner of the quad will then be a distance <20>h<EFBFBD> from the
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plane. The length of each half edge is measured and the shortest length
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is assigned <20>l<EFBFBD>. The warp angle is the arcsine of the ratio of the projection
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height <20>h<EFBFBD> to the half edge length <20>l<EFBFBD>. </p>
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<p> </p>
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<p class="whs2"><img src="../image24.gif" width="496px" height="336px" border="0" class="img_whs4"></p>
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<p class="whs2"> </p>
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<p class=TODO> </p>
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<p class=TODO>To apply the Warping quality criterion to your mesh:</p>
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<p class=TODO> </p>
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<p class="whs2">1. Display your mesh in the viewer.</p>
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<p class="whs2"> </p>
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2005-11-28 14:57:47 +05:00
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<p class="whs2">2. Choose <span style="font-weight: bold;"><B>Controls
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> 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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will be displayed in the viewer with its elements colored according to
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the applied mesh quality control criterion:</p>
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2004-06-18 14:55:35 +06:00
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<p class="whs2"> </p>
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2005-11-28 14:57:47 +05:00
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<p class="whs2"><img src="../image97.jpg" width="405px" height="308px" border="0" class="img_whs6"></p>
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<p class="whs2"> </p>
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<p class="whs3"><span style="font-weight: bold;"><B>See Also</B></span>
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a sample TUI Script of a <a href="../quality_controls.htm#bookmark10">Warping
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quality control</a> operation. </p>
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<p> </p>
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<p class="whs2"> </p>
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