mirror of
https://git.salome-platform.org/gitpub/modules/smesh.git
synced 2024-12-27 01:40:33 +05:00
169 lines
5.1 KiB
HTML
Executable File
169 lines
5.1 KiB
HTML
Executable File
<!doctype HTML public "-//W3C//DTD HTML 4.0 Frameset//EN">
|
||
|
||
<html>
|
||
|
||
<head>
|
||
<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">
|
||
<!--
|
||
if (navigator.appName !="Netscape")
|
||
{ document.write("<link rel='stylesheet' href='default.css'>");}
|
||
//-->
|
||
</script>
|
||
<style type="text/css">
|
||
<!--
|
||
img_whs1 { border:none; width:416px; height:385px; border-style:none; }
|
||
img_whs2 { border:none; width:30px; height:30px; float:none; border-style:none; }
|
||
img_whs3 { border:none; width:158px; height:110px; border-style:none; }
|
||
img_whs4 { border:none; width:120px; height:48px; border-style:none; }
|
||
img_whs5 { border:none; width:234px; height:96px; border-style:none; }
|
||
img_whs6 { border:none; width:258px; height:246px; border-style:none; }
|
||
img_whs7 { border:none; width:133px; height:56px; border-style:none; }
|
||
img_whs8 { border:none; width:425px; height:192px; border-style:none; }
|
||
img_whs9 { border:none; width:89px; height:32px; border-style:none; }
|
||
p.whs10 { margin-left:0px; }
|
||
-->
|
||
</style><script type="text/javascript" language="JavaScript">
|
||
<!--
|
||
if ((navigator.appName == "Netscape") && (parseInt(navigator.appVersion) == 4))
|
||
{
|
||
var strNSS = "<style type='text/css'>";
|
||
strNSS += "p.whs10 {margin-left:1pt; }";
|
||
strNSS +="</style>";
|
||
document.write(strNSS);
|
||
}
|
||
//-->
|
||
</script>
|
||
<script type="text/javascript" language="JavaScript" title="WebHelpInlineScript">
|
||
<!--
|
||
function reDo() {
|
||
if (innerWidth != origWidth || innerHeight != origHeight)
|
||
location.reload();
|
||
}
|
||
if ((parseInt(navigator.appVersion) == 4) && (navigator.appName == "Netscape")) {
|
||
origWidth = innerWidth;
|
||
origHeight = innerHeight;
|
||
onresize = reDo;
|
||
}
|
||
onerror = null;
|
||
//-->
|
||
</script>
|
||
<style type="text/css">
|
||
<!--
|
||
div.WebHelpPopupMenu { position:absolute; left:0px; top:0px; z-index:4; visibility:hidden; }
|
||
-->
|
||
</style><script type="text/javascript" language="javascript1.2" src="whmsg.js"></script>
|
||
<script type="text/javascript" language="javascript" src="whver.js"></script>
|
||
<script type="text/javascript" language="javascript1.2" src="whproxy.js"></script>
|
||
<script type="text/javascript" language="javascript1.2" src="whutils.js"></script>
|
||
<script type="text/javascript" language="javascript1.2" src="whtopic.js"></script>
|
||
</head>
|
||
<body><script type="text/javascript" language="javascript1.2">
|
||
<!--
|
||
if (window.gbWhTopic)
|
||
{
|
||
if (window.addTocInfo)
|
||
{
|
||
addTocInfo("MESH module\nQuality controls\nAspect ratio 3D");
|
||
addButton("show",BTN_TEXT,"Show","","","","",0,0,"","","");
|
||
|
||
}
|
||
if (window.writeBtnStyle)
|
||
writeBtnStyle();
|
||
|
||
if (window.writeIntopicBar)
|
||
writeIntopicBar(1);
|
||
|
||
if (window.setRelStartPage)
|
||
{
|
||
setRelStartPage("smesh.htm");
|
||
|
||
autoSync(1);
|
||
sendSyncInfo();
|
||
sendAveInfoOut();
|
||
}
|
||
}
|
||
else
|
||
if (window.gbIE4)
|
||
document.location.reload();
|
||
//-->
|
||
</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">This mesh quality criterion resembles to the Aspect ratio
|
||
criterion, however, it is also applied to 3D mesh elements: tetrahedrons,
|
||
pentahedrons, hexahedrons, etc. </p>
|
||
|
||
<p>There are 2 simple formulas to evaluate directly the value of quality
|
||
Qk for simplex in 2D and 3D. The formulas are :</p>
|
||
|
||
<p><EFBFBD> For triangle :</p>
|
||
|
||
<p> </p>
|
||
|
||
<p><img src="image21.gif" width="158px" height="110px" border="0" class="img_whs3"></p>
|
||
|
||
<p><img src="image23.gif" width="120px" height="48px" border="0" class="img_whs4"></p>
|
||
|
||
<p>where :</p>
|
||
|
||
<p> </p>
|
||
|
||
<p><img src="image27.gif" width="234px" height="96px" border="0" class="img_whs5"></p>
|
||
|
||
<p> </p>
|
||
|
||
<p> </p>
|
||
|
||
<p><EFBFBD> For tetrahedron :</p>
|
||
|
||
<p> <img src="image20.gif" width="258px" height="246px" border="0" class="img_whs6"></p>
|
||
|
||
<p> <img src="image19.gif" width="133px" height="56px" border="0" class="img_whs7"></p>
|
||
|
||
<p>where :</p>
|
||
|
||
<p><img src="image18.gif" width="425px" height="192px" border="0" class="img_whs8"> </p>
|
||
|
||
<p>To calculate Sk , it is needed to sum the area of each of the 3 faces
|
||
with the formula given with the triangle.</p>
|
||
|
||
<p> </p>
|
||
|
||
<p>For the other types of element like quadrangle, pentahedron and hexahedron
|
||
the formula is the following :</p>
|
||
|
||
<p><img src="image30.gif" width="89px" height="32px" border="0" class="img_whs9"> </p>
|
||
|
||
<p>Where Qi are the quality of all the possible simplex (of same dimension
|
||
as the element) that compose the element.</p>
|
||
|
||
<p> </p>
|
||
|
||
<p class="whs10"><span style="font-weight: bold;"><B>See Also</B></span>
|
||
a sample TUI Script of an <a href="quality_controls.htm#bookmark11">Aspect
|
||
Ratio 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);
|
||
//-->
|
||
</script>
|
||
</body>
|
||
</html>
|