mirror of
https://git.salome-platform.org/gitpub/modules/smesh.git
synced 2024-12-30 19:30:35 +05:00
308 lines
11 KiB
HTML
308 lines
11 KiB
HTML
|
<!doctype HTML public "-//W3C//DTD HTML 4.0 Frameset//EN">
|
|||
|
|
|
|||
|
|
<html>
|
|||
|
|
|
|||
|
|
<!--(==============================================================)-->
|
|||
|
|
<!--(Document created with RoboEditor. )============================-->
|
|||
|
|
<!--(==============================================================)-->
|
|||
|
|
|
|||
|
|
<head>
|
|||
|
|
|
|||
|
|
<title>Pattern mapping</title>
|
|||
|
|
|
|||
|
|
<!--(Meta)==========================================================-->
|
|||
|
|
|
|||
|
|
<meta http-equiv=content-type content="text/html; charset=windows-1252">
|
|||
|
|
<meta name=generator content="RoboHELP by eHelp Corporation - www.ehelp.com">
|
|||
|
|
<meta name=generator-major-version content=0.1>
|
|||
|
|
<meta name=generator-minor-version content=1>
|
|||
|
|
<meta name=filetype content=kadov>
|
|||
|
|
<meta name=filetype-version content=1>
|
|||
|
|
<meta name=page-count content=1>
|
|||
|
|
<meta name=layout-height content=3341>
|
|||
|
|
<meta name=layout-width content=740>
|
|||
|
|
|
|||
|
|
|
|||
|
|
<!--(Links)=========================================================-->
|
|||
|
|
|
|||
|
|
<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-style: none; border: none; width: 30px; height: 30px; float: none;}
|
|||
|
|
p.whs2 {margin-left: 40px;}
|
|||
|
|
img_whs3 {border-style: none; border: none; width: 626px; height: 471px;}
|
|||
|
|
img_whs4 {border: none; width: 22px; height: 28px;}
|
|||
|
|
table.whs5 {x-cell-content-align: top; width: 100%; border-spacing: 0;}
|
|||
|
|
col.whs6 {width: 50%;}
|
|||
|
|
td.whs7 {padding-right: 10px; padding-left: 10px; border-right-style: none; border-left-style: none; border-top-style: none; border-bottom-style: none;}
|
|||
|
|
img_whs8 {border: none; width: 232px; height: 400px;}
|
|||
|
|
td.whs9 {padding-right: 10px; padding-left: 10px; border-top-style: none; border-bottom-style: none; border-right-style: none;}
|
|||
|
|
p.whs10 {margin-left: 0px;}
|
|||
|
|
img_whs11 {border-style: none; border: none; width: 554px; height: 279px;}
|
|||
|
|
img_whs12 {border-style: none; border: none; width: 572px; height: 233px;}
|
|||
|
|
img_whs13 {border-style: none; border: none; width: 606px; height: 249px;}
|
|||
|
|
-->
|
|||
|
|
</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:1; }";
|
|||
|
|
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)==========================================================-->
|
|||
|
|
|
|||
|
|
|
|||
|
|
<body>
|
|||
|
|
|
|||
|
|
<script type="text/javascript" language="javascript1.2">
|
|||
|
|
<!--
|
|||
|
|
if (window.gbWhTopic)
|
|||
|
|
{
|
|||
|
|
if (window.addTocInfo)
|
|||
|
|
{
|
|||
|
|
addTocInfo("SMESH module\nModifying meshes\nPattern mapping");
|
|||
|
|
addButton("show",BTN_TEXT,"Show","","","","",0,0,"","","");
|
|||
|
|
|
|||
|
|
}
|
|||
|
|
if (window.writeBtnStyle)
|
|||
|
|
writeBtnStyle();
|
|||
|
|
|
|||
|
|
if (window.writeIntopicBar)
|
|||
|
|
writeIntopicBar(1);
|
|||
|
|
|
|||
|
|
if (window.setRelStartPage)
|
|||
|
|
{
|
|||
|
|
setRelStartPage("smesh.htm");
|
|||
|
|
|
|||
|
|
autoSync(0);
|
|||
|
|
sendSyncInfo();
|
|||
|
|
sendAveInfoOut();
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
else
|
|||
|
|
document.location.reload();
|
|||
|
|
//-->
|
|||
|
|
</script>
|
|||
|
|
<h1>Pattern mapping</h1>
|
|||
|
|
|
|||
|
|
<h3>About patterns</h3>
|
|||
|
|
|
|||
|
|
<p><img src="i_blue.jpg" x-maintain-ratio="TRUE" width="30px" height="30px" border="0" class="img_whs1"> The pattern describes a mesh to generate: positions of
|
|||
|
|
nodes within a geometrical domain and nodal connectivity of elements.
|
|||
|
|
As well, a pattern specifies the so-called key-points, i.e. nodes that
|
|||
|
|
will be located at geometrical vertices. Pattern description is stored
|
|||
|
|
in <pattern_name>.smp file.</p>
|
|||
|
|
|
|||
|
|
<p> </p>
|
|||
|
|
|
|||
|
|
<p>The smp file contains 4 sections:</p>
|
|||
|
|
|
|||
|
|
<p> </p>
|
|||
|
|
|
|||
|
|
<p class="whs2">1. The first line holds the number of nodes
|
|||
|
|
(N).</p>
|
|||
|
|
|
|||
|
|
<p class="whs2"> </p>
|
|||
|
|
|
|||
|
|
<p class="whs2">2. The next N lines describe nodes coordinates.
|
|||
|
|
Each line holds 2 coordinates of a node.</p>
|
|||
|
|
|
|||
|
|
<p class="whs2"> </p>
|
|||
|
|
|
|||
|
|
<p class="whs2">3. A key-points line: indices of nodes to
|
|||
|
|
be mapped on geometrical vertices. An index n refers to a node described
|
|||
|
|
on an n-th line of section 2. The first node index is zero.</p>
|
|||
|
|
|
|||
|
|
<p class="whs2"> </p>
|
|||
|
|
|
|||
|
|
<p class="whs2">4. The rest lines describe nodal connectivity
|
|||
|
|
of elements, one line for an element. A line holds indices of nodes forming
|
|||
|
|
an element. An index n refers to a node described on an n-th line of the
|
|||
|
|
section 2. The first node index is zero. There must be 3 or 4 indices
|
|||
|
|
on a line: only 2d elements are allowed.</p>
|
|||
|
|
|
|||
|
|
<p class="whs2"> </p>
|
|||
|
|
|
|||
|
|
<p>The 2D pattern must contain at least one element and at least one key-point.
|
|||
|
|
All key-points must lay on boundaries.</p>
|
|||
|
|
|
|||
|
|
<p> </p>
|
|||
|
|
|
|||
|
|
<p>An example of a simple smp file and a preview of a pattern described
|
|||
|
|
in this file:</p>
|
|||
|
|
|
|||
|
|
<p> </p>
|
|||
|
|
|
|||
|
|
<p><img src="image94.gif" width="626px" height="471px" border="0" class="img_whs3"></p>
|
|||
|
|
|
|||
|
|
<p> </p>
|
|||
|
|
|
|||
|
|
<h3>Creating patterns</h3>
|
|||
|
|
|
|||
|
|
<p>The pattern description can be created manually or automatically. Manual
|
|||
|
|
pattern creation implies creation of pattern file by hands. For an automatic
|
|||
|
|
generation the user just specifies a geometrical face having a mesh built
|
|||
|
|
on it. Mesh nodes lying on face vertices become key-points. Additionally,
|
|||
|
|
the user may choose the way of getting nodes coordinates by projecting
|
|||
|
|
nodes on the face instead of using "positions on face" generated
|
|||
|
|
by mesher (if there are any). Faces having a seam edge can<61>t be used for
|
|||
|
|
automatic pattern creation.</p>
|
|||
|
|
|
|||
|
|
<p> </p>
|
|||
|
|
|
|||
|
|
<p>When creating a pattern from an existing mesh, there are two possible
|
|||
|
|
cases:</p>
|
|||
|
|
|
|||
|
|
<p> </p>
|
|||
|
|
|
|||
|
|
<p>1. A sub-mesh on face is selected. A pattern is created from the 2d
|
|||
|
|
elements bound to a face by mesher. Node coordinates are either "positions
|
|||
|
|
on face" computed by mesher, or coordinates got by node projection
|
|||
|
|
on a geometrical surface, according to your choice.</p>
|
|||
|
|
|
|||
|
|
<p> </p>
|
|||
|
|
|
|||
|
|
<p>2. A mesh where the main shape is a face, is selected. A pattern is
|
|||
|
|
created from all the 2d elements in a mesh. If all mesh elements are build
|
|||
|
|
by mesher, the user can select the way of getting nodes coordinates, else
|
|||
|
|
all nodes are projected on a face surface.</p>
|
|||
|
|
|
|||
|
|
<p> </p>
|
|||
|
|
|
|||
|
|
<h3>Application of pattern mapping</h3>
|
|||
|
|
|
|||
|
|
<p class=TODO>To apply pattern mapping to a geometrical object:</p>
|
|||
|
|
|
|||
|
|
<p class=TODO> </p>
|
|||
|
|
|
|||
|
|
<p class="whs2">1. From the <span style="font-weight: bold;"><B>Modification
|
|||
|
|
</B></span>menu choose the <span style="font-weight: bold;"><B>Pattern Mapping
|
|||
|
|
</B></span>item or click <img src="image98.gif" width="22px" height="28px" border="0" class="img_whs4"> button in the toolbar. The following
|
|||
|
|
dialog box shall appear:</p>
|
|||
|
|
|
|||
|
|
<p class="whs2"> </p>
|
|||
|
|
|
|||
|
|
<!--(Table)=========================================================-->
|
|||
|
|
<table x-use-null-cells cellspacing="0" width="100%" class="whs5">
|
|||
|
|
<col class="whs6">
|
|||
|
|
<col class="whs6">
|
|||
|
|
|
|||
|
|
<tr valign=top>
|
|||
|
|
<td width="50%" class="whs7">
|
|||
|
|
<p><img src="image81.jpg" width="232px" height="400px" border="0" class="img_whs8"></td>
|
|||
|
|
<td width="50%" class="whs9">
|
|||
|
|
<p><img src="image80.jpg" width="232px" height="400px" border="0" class="img_whs8"></td></tr>
|
|||
|
|
</table>
|
|||
|
|
|
|||
|
|
<p class="whs2"> </p>
|
|||
|
|
|
|||
|
|
<p>To apply a pattern to a geometrical object, you should specify:</p>
|
|||
|
|
|
|||
|
|
<p> </p>
|
|||
|
|
|
|||
|
|
<p class="whs2">- a face having the number of vertices equal
|
|||
|
|
to the number of key-points in the pattern; the number of key-points on
|
|||
|
|
internal boundaries of a pattern must also be equal to the number of vertices
|
|||
|
|
on internal boundaries of a face;</p>
|
|||
|
|
|
|||
|
|
<p class="whs2">- a vertex to which the first key-point should
|
|||
|
|
be mapped,</p>
|
|||
|
|
|
|||
|
|
<p class="whs2">- reverse or not the order of key-points.
|
|||
|
|
(The order of vertices of a face is counterclockwise looking from outside).</p>
|
|||
|
|
|
|||
|
|
<p class="whs2"> </p>
|
|||
|
|
|
|||
|
|
<p class="whs2"> </p>
|
|||
|
|
|
|||
|
|
<h3>Mapping algorithm:</h3>
|
|||
|
|
|
|||
|
|
<p class="whs10">The mapping algorithm is as follows:</p>
|
|||
|
|
|
|||
|
|
<p class="whs10"> </p>
|
|||
|
|
|
|||
|
|
<p class="whs2">1. Key-points are set in the order that they
|
|||
|
|
are encountered when walking along a pattern boundary so that elements
|
|||
|
|
are on the left. The first key-point is preserved.</p>
|
|||
|
|
|
|||
|
|
<p class="whs2">2. Find geometrical vertices corresponding
|
|||
|
|
to key-points by vertices order in a face boundary; here, "Reverse
|
|||
|
|
order of key-points" flag is taken into account.</p>
|
|||
|
|
|
|||
|
|
<p class="whs2"> </p>
|
|||
|
|
|
|||
|
|
<p class="whs2"><img src="image95.gif" width="554px" height="279px" border="0" class="img_whs11"></p>
|
|||
|
|
|
|||
|
|
<p class="whs2"> </p>
|
|||
|
|
|
|||
|
|
<p class="whs2">3. Boundary nodes of a pattern are mapped
|
|||
|
|
onto edges of a face: a node located between certain key-points on a pattern
|
|||
|
|
boundary is mapped on a geometrical edge limited by corresponding geometrical
|
|||
|
|
vertices. Node position on an edge reflects its distance from two key-points.</p>
|
|||
|
|
|
|||
|
|
<p class="whs2"> </p>
|
|||
|
|
|
|||
|
|
<p class="whs2"><img src="image96.gif" width="572px" height="233px" border="0" class="img_whs12"></p>
|
|||
|
|
|
|||
|
|
<p class="whs2"> </p>
|
|||
|
|
|
|||
|
|
<p class="whs2">4. Coordinates of a non-boundary node in
|
|||
|
|
a parametric space of a face are defined as following. In a parametric
|
|||
|
|
space of a pattern, a node lays at the intersection of two iso-lines,
|
|||
|
|
each of which intersects a pattern boundary at least at two points. Knowing
|
|||
|
|
mapped positions of boundary nodes, we find where isoline-boundary intersection
|
|||
|
|
points are mapped to, and hence we can find mapped isolines direction
|
|||
|
|
and then, two node positions on two mapped isolines. The eventual mapped
|
|||
|
|
position of a node is found as an average of positions on mapped isolines.</p>
|
|||
|
|
|
|||
|
|
<p class="whs2"> </p>
|
|||
|
|
|
|||
|
|
<p class="whs2"><img src="image97.gif" width="606px" height="249px" border="0" class="img_whs13"></p>
|
|||
|
|
|
|||
|
|
<script type="text/javascript" language="javascript1.2">
|
|||
|
|
<!--
|
|||
|
|
if (window.writeIntopicBar)
|
|||
|
|
writeIntopicBar(0);
|
|||
|
|
//-->
|
|||
|
|
</script>
|
|||
|
|
</body>
|
|||
|
|
|
|||
|
|
</html>
|