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-<h1>Aspect ratio 3D</h1>\r
-\r
-<p><img src="image86.jpg" width="416px" height="385px" border="0" class="img_whs1"></p>\r
-\r
-<p> </p>\r
-\r
-<p><img src="i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs2"> The Aspect Ratio 3D mesh quality criterion calculates \r
- the same parameter as the <a href="files/aspect_ratio.htm">Aspect ratio</a> \r
- criterion, but it is applied to 3D mesh elements: tetrahedrons, pentahedrons, \r
- hexahedrons, etc. </p>\r
-\r
-<p> </p>\r
-\r
-<ul type="disc" class="whs3">\r
- \r
- <li class=kadov-p><p><img src="image20.gif" width="258px" height="246px" align="left" border="0" class="img_whs4">The <span style="font-weight: bold;"><B>Aspect \r
- Ratio</B></span> of a <span style="font-weight: bold;"><B>tetrahedron</B></span> \r
- 3D element is calculated by the formula:</p></li>\r
-</ul>\r
-\r
-<p> </p>\r
-\r
-<p> </p>\r
-\r
-<p><img src="image19.gif" width="133px" height="56px" border="0" class="img_whs5">,</p>\r
-\r
-<p> </p>\r
-\r
-<p>where <span style="font-weight: bold; font-style: italic;"><I><B>S</B></I></span><span \r
- style="font-weight: bold;\r
- font-style: italic;\r
- vertical-align: Sub;"><I><B>K</B></I></span> is the sum of surfaces of the faces \r
- of К and <span style="font-weight: bold; font-style: italic;"><I><B>V</B></I></span><span \r
- style="vertical-align: Sub;\r
- font-weight: bold;\r
- font-style: italic;"><I><B>K</B></I></span> is the volume of К :</p>\r
-\r
-<p> </p>\r
-\r
-<p><img src="image18.gif" width="425px" height="192px" border="0" class="img_whs6">T</p>\r
-\r
-<p> </p>\r
-\r
-<ul type="disc" class="whs3">\r
- \r
- <li class=kadov-p><p>Other element types like quadrangle, pentahedron \r
- and hexahedron use the following formula:</p></li>\r
-</ul>\r
-\r
-<p><img src="image30.gif" width="89px" height="32px" border="0" class="img_whs7"> , where <span style="font-weight: bold; font-style: italic;"><I><B>Q</B></I></span><span \r
- style="vertical-align: Sub;\r
- font-weight: bold;\r
- font-style: italic;"><I><B>i</B></I></span> represents the value of <span style="font-weight: bold; font-style: italic;"><I><B>Q</B></I></span><span \r
- style="vertical-align: Sub;\r
- font-weight: bold;\r
- font-style: italic;"><I><B>k</B></I></span> for all possible simplexes (of the \r
- same dimension as the element) that compose the element.</p>\r
-\r
-<p>For example, a hexahedron is split in 6 tetrahedrons, the <span style="font-weight: bold;"><B>Aspect \r
- ratio 3D</B></span> is calculated for each of them, then the greatest <span \r
- style="font-weight: bold; font-style: italic;"><I><B>Q</B></I></span><span style="vertical-align: Sub;\r
- font-weight: bold;\r
- font-style: italic;"><I><B>k</B></I></span> is considered to be the <span \r
- style="font-weight: bold;"><B>Aspect ratio 3D</B></span> \r
- criterion for the whole hexahedron.</p>\r
-\r
-<p><img src="pics/image139.gif" x-maintain-ratio="TRUE" width="569px" height="386px" border="0" class="img_whs8"></p>\r
-\r
-<p> </p>\r
-\r
-<p class=TODO>To apply the Aspect Ratio 3D quality criterion to your mesh:</p>\r
-\r
-<p class=TODO> </p>\r
-\r
-<p class="whs9">1. Display your mesh in the viewer.</p>\r
-\r
-<p class="whs9"> </p>\r
-\r
-<p class="whs9">2. Choose <span style="font-weight: bold;"><B>Controls \r
- > Aspect Ratio 3D </B></span>or click <img src="image144.gif" width="24px" height="26px" border="0" class="img_whs10"> button of the toolbar. \r
- Your mesh will be displayed in the viewer with its elements colored according \r
- to the applied mesh quality control criterion:</p>\r
-\r
-<p> </p>\r
-\r
-<p class="whs11"><span style="font-weight: bold;"><B>See Also</B></span> \r
- a sample TUI Script of an <span style="font-weight: bold;"><B><a href="quality_controls.htm#bookmark11">Aspect \r
- Ratio 3D</B></span> quality control</a> operation. </p>\r
-\r
-<p> </p>\r
-\r
-<p> </p>\r
-\r
-<p> </p>\r
-\r
-<p> </p>\r
-\r
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+<title>Aspect ratio 3D</title>
+<meta http-equiv="content-type" content="text/html; charset=windows-1252">
+<meta name="generator" content="RoboHelp by eHelp Corporation www.ehelp.com">
+<link rel="stylesheet" href="default_ns.css"><script type="text/javascript" language="JavaScript" title="WebHelpSplitCss">
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+if (navigator.appName !="Netscape")
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+//-->
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+<!--
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+img_whs2 { border:none; width:30px; height:30px; float:none; border-style:none; }
+ul.whs3 { list-style:disc; }
+img_whs4 { border:none; width:258px; height:246px; border-style:none; float:left; }
+img_whs5 { border:none; width:133px; height:56px; border-style:none; }
+img_whs6 { border:none; width:425px; height:192px; border-style:none; }
+img_whs7 { border:none; width:89px; height:32px; border-style:none; }
+img_whs8 { border:none; width:569px; height:386px; float:none; border-style:none; }
+p.whs9 { margin-left:40px; }
+img_whs10 { border:none; width:24px; height:26px; border-style:none; }
+p.whs11 { margin-left:0px; }
+-->
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+}
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+}
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+//-->
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+ document.location.reload();
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+<body><script type="text/javascript" language="javascript1.2">
+<!--
+if (window.writeIntopicBar)
+ writeIntopicBar(4);
+//-->
+</script>
+<h1>Aspect ratio 3D</h1>
+
+<p><img src="image86.jpg" width="416px" height="385px" border="0" class="img_whs1"></p>
+
+<p> </p>
+
+<p><img src="i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs2"> The Aspect Ratio 3D mesh quality criterion calculates
+ the same parameter as the <a href="files/aspect_ratio.htm">Aspect ratio</a>
+ criterion, but it is applied to 3D mesh elements: tetrahedrons, pentahedrons,
+ hexahedrons, etc. </p>
+
+<p> </p>
+
+<ul type="disc" class="whs3">
+
+ <li class=kadov-p><p><img src="image20.gif" width="258px" height="246px" align="left" border="0" class="img_whs4">The <span style="font-weight: bold;"><B>Aspect
+ Ratio</B></span> of a <span style="font-weight: bold;"><B>tetrahedron</B></span>
+ 3D element is calculated by the formula:</p></li>
+</ul>
+
+<p> </p>
+
+<p> </p>
+
+<p><img src="image19.gif" width="133px" height="56px" border="0" class="img_whs5">,</p>
+
+<p> </p>
+
+<p>where <span style="font-weight: bold; font-style: italic;"><I><B>S</B></I></span><span
+ style="font-weight: bold;
+ font-style: italic;
+ vertical-align: Sub;"><I><B>K</B></I></span> is the sum of surfaces of the faces
+ of К and <span style="font-weight: bold; font-style: italic;"><I><B>V</B></I></span><span
+ style="vertical-align: Sub;
+ font-weight: bold;
+ font-style: italic;"><I><B>K</B></I></span> is the volume of К :</p>
+
+<p> </p>
+
+<p><img src="image18.gif" width="425px" height="192px" border="0" class="img_whs6">T</p>
+
+<p> </p>
+
+<ul type="disc" class="whs3">
+
+ <li class=kadov-p><p>Other element types like quadrangle, pentahedron
+ and hexahedron use the following formula:</p></li>
+</ul>
+
+<p><img src="image30.gif" width="89px" height="32px" border="0" class="img_whs7"> , where <span style="font-weight: bold; font-style: italic;"><I><B>Q</B></I></span><span
+ style="vertical-align: Sub;
+ font-weight: bold;
+ font-style: italic;"><I><B>i</B></I></span> represents the value of <span style="font-weight: bold; font-style: italic;"><I><B>Q</B></I></span><span
+ style="vertical-align: Sub;
+ font-weight: bold;
+ font-style: italic;"><I><B>k</B></I></span> for all possible simplexes (of the
+ same dimension as the element) that compose the element.</p>
+
+<p>For example, a hexahedron is split in 6 tetrahedrons, the <span style="font-weight: bold;"><B>Aspect
+ ratio 3D</B></span> is calculated for each of them, then the greatest <span
+ style="font-weight: bold; font-style: italic;"><I><B>Q</B></I></span><span style="vertical-align: Sub;
+ font-weight: bold;
+ font-style: italic;"><I><B>k</B></I></span> is considered to be the <span
+ style="font-weight: bold;"><B>Aspect ratio 3D</B></span>
+ criterion for the whole hexahedron.</p>
+
+<p><img src="pics/image139.gif" x-maintain-ratio="TRUE" width="569px" height="386px" border="0" class="img_whs8"></p>
+
+<p> </p>
+
+<p class=TODO>To apply the Aspect Ratio 3D quality criterion to your mesh:</p>
+
+<p class=TODO> </p>
+
+<p class="whs9">1. Display your mesh in the viewer.</p>
+
+<p class="whs9"> </p>
+
+<p class="whs9">2. Choose <span style="font-weight: bold;"><B>Controls
+ > Aspect Ratio 3D </B></span>or click <img src="image144.gif" width="24px" height="26px" border="0" class="img_whs10"> 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> </p>
+
+<p class="whs11"><span style="font-weight: bold;"><B>See Also</B></span>
+ a sample TUI Script of an <span style="font-weight: bold;"><B><a href="quality_controls.htm#bookmark11">Aspect
+ Ratio 3D</B></span> quality control</a> operation. </p>
+
+<p> </p>
+
+<p> </p>
+
+<p> </p>
+
+<p> </p>
+
+<script type="text/javascript" language="javascript1.2">
+<!--
+if (window.writeIntopicBar)
+ writeIntopicBar(0);
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