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      <title>Check Criteria - GC0, GC1, GC2, Continuity (M3)</title>
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      <div class="title_topic4" id="xps10_pagetitle">Check Criteria - GC0, GC1, GC2, Continuity (M3)</div>
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               <p class="para_td"> <a class="links" href="javascript:void(0)" onclick="top.openFile('nx_analysis/vda_checker.html');return(false);">Check VDA-4955 Compliance Overview</a></p>
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            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" width="20%">
               <p class="para_td"> <a class="links" href="javascript:void(0)" onclick="top.openFile('nx_analysis/vda_criteria.html');return(false);">Description of the Check Criteria</a></p>
            </td>
            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" width="20%">
               <p class="para_td"> <a class="links" href="javascript:void(0)" onclick="top.openFile('nx_analysis/vda4955_check_crit_fac_topo.html');return(false);">Faces (Topology)</a></p>
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            <td bgcolor="#ffffff" colspan="1" rowspan="1" width="20%"></td>
            <td bgcolor="#ffffff" colspan="1" rowspan="1" width="20%"></td>
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            <td bgcolor="#f4f4f4" colspan="2" rowspan="1" valign="top">
               <p class="para_td">GC0, GC1, GC2 Continuity (M3)</p>
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            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td">Input</p>
            </td>
            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td">Geometrically adjacent faces of solid bodies and sheet bodies</p>
            </td>
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         <tr valign="middle">
            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td">Parameter</p>
            </td>
            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td">Number of Points per Segment in u-Direction</p>
               <p class="para_td">GC0: Maximum Gap/Overlap distance constraint value, Topological Tolerances | Distance.</p>
               <p class="para_td">GC1: Maximum Tangent Angle [deg] constraint value, Topological Tolerances | Tangent Angle [deg].</p>
               <p class="para_td">GC2: Maximum Curvature constraint value (relative error between the two curvature radii), &nbsp;Topological Tolerances | Curvature (relative error - see Curve Continuity ).</p>
            </td>
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         <tr valign="middle">
            <td bgcolor="#f4f4f4" colspan="1" rowspan="10" valign="top">
               <p class="para_td">What is analyzed ?</p>
            </td>
            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td">Check if two faces meet at a boundary and check the transition continuity across the boundary. Edge curves that match within the Topological Distance Tolerance are classified as adjacent (so called common edge curves). Non adjacent edge curves are exempted from further continuity checking. The analysis is done at discrete points only. For each continuity condition the same set of sample points (Number of Points per Segment in u-Direction) is used.</p>
               <p class="para_td">GC0 is a positional continuity. Checking across patch boundaries of a bspline surface will not be performed (patches match by definition). At all common edges the distance between two objects is computed at sample point pairs. For each point pair the closest point on the underlying surface of the corresponding face is computed. The distance of the two surface points is checked using the Gap/Overlap distance constraint value. The criterion (M3af) is violated if the distance at any sample point pair exceeds the Gap/Overlap distance value. The checking is always performed for all samples to find the maximum violation distance.</p>
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            <td bgcolor="#F4F4F4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> <img align="bottom" src="graphics/v2fm3a.gif" border="0">&nbsp;[IMG_4955] 
               </p>
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         <tr>
            <th bgcolor="#F4F4F4" colspan="1" rowspan="1" valign="top">
               <p class="para_th">Example of Position Continuity</p>
            </th>
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         <tr>
            <td bgcolor="#F4F4F4" colspan="1" rowspan="1" valign="top">
               <p class="para_td">GC1 is a tangential continuity. This criterion is only checked, if GC0 continuity was achieved. Checking across patch boundaries of a bspline surface can be turned on/off with the Segment Check control. Segment checking is carried out for the complete underlying surface (including inactive regions). </p>
               <p class="para_td">At the sample point pairs on the underlying surfaces normals are computed. The criterion is violated if the normals are not collinear ( have a different direction ) and the angle between them exceeds the Tangent Angle constraint value. An angle exceeding the Topological Tolerances | Tangent Angle is neither considered a violation nor logged in the Results Log. </p>
               <table border="0">
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                     <td valign="top" align="left"><img align="left" src="../graphics/note.gif" alt="Note" title="Note"></td>
                     <td valign="bottom" align="left" width="100%">
                        <div class="para_note">
                           <p class="para_note_body">NOTE:&nbsp; To avoid error detection in the case where a tangent discontinuity has been designed on purpose, the topological angle tolerance needs to be suitably adjusted. For example, a Topological Tolerances | Tangent Angle = 45 means that all tangent discontinuities greater 45 degrees will not be checked against the Tangent Angle constraint value.</p>
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            <td bgcolor="#F4F4F4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> <img align="bottom" src="graphics/v2fm3b.gif" border="0">&nbsp;[IMG_4955]
               </p>
            </td>
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         <tr>
            <th bgcolor="#F4F4F4" colspan="1" rowspan="1" valign="top">
               <p class="para_th">Example of Tangential Continuity</p>
            </th>
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         <tr>
            <td bgcolor="#F4F4F4" colspan="1" rowspan="1" valign="top">
               <p class="para_td">GC2 is a curvature continuity. This criterion is only checked, if GC0 and GC1 continuity was achieved. Checking across patch boundaries of a bspline surface can be turned on/off with the Segment Check control. Segment checking is carried out for the complete underlying surface (including inactive regions). According to the recommendation VDA 4955 a normal section is computed perpendicular to the tangent of the edge curve in this point. The curvature of the normal section curve is computed and is checked with the same formula as the formula for curves ( see Curve Continuity ). The criterion is violated if the relative error exceeds the Curvature constraint value. A relative error (RelErr) exceeding the Topological Tolerances | Curvature is neither considered a violation nor logged in the Results Log.</p>
            </td>
         </tr>
         <tr>
            <td bgcolor="#F4F4F4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> <img align="bottom" src="graphics/v2fm3c.gif" border="0">&nbsp;[IMG_4955]
               </p>
            </td>
         </tr>
         <tr>
            <th bgcolor="#F4F4F4" colspan="1" rowspan="1" valign="top">
               <p class="para_th">Example of Curvature Continuity</p>
            </th>
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         <tr>
            <td bgcolor="#F4F4F4" colspan="1" rowspan="1" valign="top">
               <table border="0">
                  <tr>
                     <td valign="top" align="left"><img align="left" src="../graphics/note.gif" alt="Note" title="Note"></td>
                     <td valign="bottom" align="left" width="100%">
                        <div class="para_note">
                           <p class="para_note_body">&nbsp; In cases where RelErr = 2 is not to be checked, a Topological Tolerances | Curvature value of less than 2 needs to be supplied.</p>
                        </div>
                     </td>
                  </tr>
               </table>
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         <tr valign="middle">
            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td">Results Log&nbsp; Output</p>
            </td>
            <th bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_th">GC0:</p>
               <table cellspacing="0" align="center">
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="4" rowspan="1" valign="top">
                        <p class="para_td">Adjacent Faces (M3af) </p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">object_id</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">face1 </p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">object_id2</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">face2</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">value</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">maximum violation distance</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">point</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">point on underlying surface of face1 at maximum violation distance</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">point2</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">point on underlying surface of face2 at maximum violation distance</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">sub_id</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">edge of face1</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">sub_id2</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">edge of face2</p>
                     </td>
                  </tr>
               </table><br><p class="para_th">GC1:</p>
               <table cellspacing="0" align="center">
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="4" rowspan="1" valign="top">
                        <p class="para_td">Adjacent Faces (M3bf) </p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">object_id</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">face1 </p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">object_id2</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">face2</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">value</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">maximum violation angle</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">point</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">point on underlying surface of face1 at maximum violation angle</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">point2</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">point on underlying surface of face2 at maximum violation angle</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">sub_id</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">edge of face1</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">sub_id2</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">edge of face2</p>
                     </td>
                  </tr>
               </table><br><table cellspacing="0" align="center">
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="4" rowspan="1" valign="top">
                        <p class="para_td">Segment Check (U3bf) </p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="4" valign="top" width="14"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">object_id</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">face</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">value</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">maximum violation angle</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">value2</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">parameter direction; 0: u-direction; 1: v-direction </p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">point</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">point on underlying surface of face at maximum violation angle</p>
                     </td>
                  </tr>
               </table><br><p class="para_th">GC2:</p>
               <table cellspacing="0" align="center">
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="4" rowspan="1" valign="top">
                        <p class="para_td">Adjacent Faces (M3cf) </p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="7" valign="top" width="14"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">object_id</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">face 1 </p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">object_id2</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">face 2</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">value</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">maximum violation RelErr</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">point</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">point on underlying surface of face1 at maximum violation RelErr</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">point2</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">point on underlying surface of face2 at maximum violation RelErr</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">sub_id</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">edge of face 1</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">sub_id2</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">edge of face 2</p>
                     </td>
                  </tr>
               </table><br><table cellspacing="0" align="center">
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="4" rowspan="1" valign="top">
                        <p class="para_td">Segment Check (U3cf) </p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="4" valign="top" width="14"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">object_id</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">face</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">value</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">maximum violation RelErr</p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">value2</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">parameter direction; 0: u-direction; 1: v-direction </p>
                     </td>
                  </tr>
                  <tr valign="middle">
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">point</p>
                     </td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top"></td>
                     <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
                        <p class="para_td">point on underlying surface of face at maximum violation RelErr</p>
                     </td>
                  </tr>
               </table><br><table border="0">
                  <tr>
                     <td valign="top" align="left"><img align="left" src="../graphics/note.gif" alt="Note" title="Note"></td>
                     <td valign="bottom" align="left" width="100%">
                        <div class="para_note">
                           <p class="para_note_body"> Segment violations will be reported under a separate criterion as either &quot;Segment GC1; Face (U3bf)&quot; resp. &quot;Segment GC2; Face (U3cf)&quot;.</p>
                        </div>
                     </td>
                  </tr>
               </table>
            </th>
         </tr>
      </table><br></body>
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