PAL11898: Improve docs for Extrusion Along a Path.

doc/salome/gui/SMESH/extrusion_along_a_path.htm

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@@ -88,96 +114,251 @@ if (window.writeIntopicBar)
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-<h1>Extrusion along a path</h1>
+<h1><img src="image101.gif" width="27px" height="24px" border="0" class="img_whs1">Extrusion along a path</h1>
 
-<p>In principle, Extrusion along a path works in the same way as Extrusion, 
+<p>In principle, <span style="font-weight: bold;"><B>Extrusion along a path</B></span> 
+ works in the same way as <span style="font-weight: bold;"><B>Extrusion</B></span>, 
  the main difference is that we define not a vector, but a path of extrusion 
- which must be a meshed edge or wire. To get an idea of how this algorithm 
+ which must be a meshed edge. To get an idea of how this algorithm works, 
- works, let's see the left image, where we have a 1D circle edge and &nbsp;a 
+ examine several examples, starting from the most simple case of extrusion 
- 2D hexagon to be extruded along this path (in the picture they are angular 
+ along a straight edge. In all examples the same mesh will be extruded 
- because we show the wireframe of the mesh). And now let's see the right 
+ along different paths and with different parameters. This sample 2D mesh 
- image, showing the result of the operation. &nbsp;</p>
+ has two quadrangle faces and seven edges. Look at the picture, where white 
+ digits are the node numbers and green are the element numbers:</p>
+
+<p><span style="margin-left: 40px;"><img src="pics/mesh_for_extr_along_path.png" x-maintain-ratio="TRUE" width="387px" height="334px" border="0" class="img_whs2"> .</span></p>
 
 <p>&nbsp;</p>
 
-<table x-use-null-cells cellspacing="0" width="100%" class="whs1">
+<ul type="disc" class="whs3">
-<col class="whs2">
-<col class="whs2">
 	
-<tr valign="top" class="whs3">
+	<li class=kadov-p><p><span style="font-weight: bold;"><B>Extrusion along 
-<td width="50%" class="whs4">
+ a straight edge</B></span> (not using base point or angles)</p></li>
-<p><img src="image102.gif" width="335px" height="323px" border="0" class="img_whs5"></td>
+</ul>
-<td width="50%" class="whs6">
+
-<p><img src="image104.gif" width="350px" height="323px" border="0" class="img_whs7"></td></tr>
+<table x-use-null-cells cellspacing="0" width="100%" class="whs4">
+<col class="whs5">
+<col class="whs5">
+
+<tr valign="top" class="whs6">
+<td width="50%" class="whs7">
+<p class="whs8"><img src="pics/straight_before.png" x-maintain-ratio="TRUE" width="389px" height="334px" border="0" class="img_whs9"></td>
+<td width="50%" class="whs10">
+<p class="whs11"><img src="pics/straight_after.png" x-maintain-ratio="TRUE" width="389px" height="334px" border="0" class="img_whs9"></td></tr>
 </table>
 
-<p>&nbsp;</p>
+<p class="whs12">&nbsp;&nbsp;&nbsp;</p>
 
-<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</p>
+<p class="whs12">The left image shows a 1D path mesh, built 
+ on a linear edge, and the initial 2D mesh. The right image shows the result 
+ of extrusion of two edges (#1 and #2) of the initial mesh along the path. 
+ Node #1 of path mesh has been selected as <span style="font-weight: bold;"><B>Start 
+ node</B></span>.</p>
+
+<p class="whs12">&nbsp;</p>
+
+<ul type="disc" class="whs3">
+	
+	<li class=kadov-p><p><span style="font-weight: bold;"><B>Extrusion along 
+ a curvilinear edge</B></span> (with and without angles)</p></li>
+</ul>
+
+<table x-use-null-cells cellspacing="0" width="100%" class="whs4">
+<col class="whs13">
+<col class="whs13">
+<col class="whs13">
+
+<tr valign="top" class="whs6">
+<td width="33.333%" class="whs14">
+<p><img src="pics/curvi_simple_before.png" x-maintain-ratio="TRUE" width="389px" height="334px" border="0" class="img_whs9"></td>
+<td width="33.333%" class="whs15">
+<p><img src="pics/curvi_simple_after.png" x-maintain-ratio="TRUE" width="389px" height="334px" border="0" class="img_whs9"></td>
+<td width="33.333%" class="whs16">
+<p><img src="pics/curvi_angles_after.png" x-maintain-ratio="TRUE" width="389px" height="334px" border="0" class="img_whs9"></td></tr>
+
+<tr valign="top" class="whs6">
+<td width="33.333%" class="whs17">
+<p>The left image shows a 1D path mesh, built on curvilinear edge, and 
+ the initial &nbsp;2D 
+ mesh.</td>
+<td width="33.333%" class="whs18">
+<p>The central image shows the result of extrusion of one edge (#2) of 
+ the initial mesh along the path. &nbsp;Node 
+ #1 of path mesh has been selected as <span style="font-weight: bold;"><B>Start 
+ node</B></span>.</td>
+<td width="33.333%" class="whs19">
+<p>The same, but using angles {45, 45, 45, 0, -45, -45, -45}</td></tr>
+</table>
+
+<p class="whs11">&nbsp;</p>
+
+<ul type="disc" class="whs3">
+	
+	<li class=kadov-p><p class="whs11"><span style="font-weight: bold;"><B>Extrusion 
+ along a sub-mesh.</B></span></p></li>
+</ul>
+
+<table x-use-null-cells cellspacing="0" width="100%" class="whs4">
+<col class="whs5">
+<col class="whs5">
+
+<tr valign="top" class="whs6">
+<td width="50%" class="whs7">
+<p><img src="pics/edge_wire_before.png" x-maintain-ratio="TRUE" width="389px" height="334px" border="0" class="img_whs9"></td>
+<td width="50%" class="whs10">
+<p><img src="pics/edge_wire_after.png" x-maintain-ratio="TRUE" width="389px" height="334px" border="0" class="img_whs9"></td></tr>
+</table>
+
+<p class="whs12">&nbsp;</p>
+
+<p class="whs12">In this example the path mesh has been built 
+ on a wire (polyline with six edges). The first edge of the wire was used 
+ as <span style="font-weight: bold;"><B>Shape (edge)</B></span>, node #1 as <span 
+ style="font-weight: bold;"><B>Start node</B></span>. The angles have been defined 
+ as {10, 10, 10}. The middle edge (#4) of the initial mesh has been extruded.</p>
+
+<p class="whs12">&nbsp;</p>
+
+<ul type="disc" class="whs3">
+	
+	<li class=kadov-p><p class="whs20">Extrusion 
+ of 2d elements along a sub-mesh.</p></li>
+</ul>
+
+<table x-use-null-cells cellspacing="0" width="100%" class="whs4">
+<col class="whs5">
+<col class="whs5">
+
+<tr valign="top" class="whs6">
+<td width="50%" class="whs7">
+<p><img src="pics/edge_wire_3d_before.png" x-maintain-ratio="TRUE" width="389px" height="334px" border="0" class="img_whs9"></td>
+<td width="50%" class="whs10">
+<p><img src="pics/edge_wire_3d_after.png" x-maintain-ratio="TRUE" width="389px" height="334px" border="0" class="img_whs9"></td></tr>
+</table>
+
+<p class="whs12">&nbsp;</p>
+
+<p class="whs12">This extrusion bases on the same path mesh 
+ as in the previous example but the third edge of the wire was set as <span 
+ style="font-weight: bold;"><B>Shape (edge)</B></span> and node #4 as <span style="font-weight: bold;"><B>Start 
+ node</B></span>. Please note, that the extrusion has been done in direction 
+ from node #4 to node #3, i.e. against the wire direction. In this example 
+ both faces of the initial mesh have been extruded.</p>
+
+<p class="whs12">&nbsp;</p>
+
+<ul type="disc" class="whs3">
+	
+	<li class=kadov-p><p class="whs21">Extrusion of 2d elements 
+ along a closed path.</p></li>
+</ul>
+
+<table x-use-null-cells cellspacing="0" width="100%" class="whs4">
+<col class="whs13">
+<col class="whs13">
+<col class="whs13">
+
+<tr valign="top" class="whs6">
+<td width="33.333%" class="whs14">
+<p><img src="pics/circle_simple_before.png" x-maintain-ratio="TRUE" width="389px" height="334px" border="0" class="img_whs9"></td>
+<td width="33.333%" class="whs15">
+<p><img src="pics/circle_simple_after.png" x-maintain-ratio="TRUE" width="389px" height="334px" border="0" class="img_whs9"></td>
+<td width="33.333%" class="whs16">
+<p><img src="pics/circle_angles_after.png" x-maintain-ratio="TRUE" width="389px" height="334px" border="0" class="img_whs9"></td></tr>
+
+<tr valign="top" class="whs6">
+<td width="33.333%" class="whs17">
+<p>The left image shows a path mesh built on a closed edge (circle).</td>
+<td width="33.333%" class="whs18">
+<p>The central image shows the result of extrusion of both faces of the 
+ initial mesh. Note, that no sewing has been done, so, there are six coincident 
+ nodes and two coincident faces in the resulting mesh.</td>
+<td width="33.333%" class="whs19">
+<p>The same, but using angles {45, -45, 45, -45, 45, -45, 45, -45}</td></tr>
+</table>
+
+<p class="whs12">&nbsp;</p>
 
 <p>&nbsp;</p>
 
 <p class=TODO>To use Extrusion along a path:</p>
 
-<p class="whs8">1. From the <span style="font-weight: bold;"><B>Modification 
+<p class="whs12">1. From the <span style="font-weight: bold;"><B>Modification 
  </B></span>menu choose the <span style="font-weight: bold;"><B>Extrusion along 
- a path </B></span>item or click <img src="image101.gif" width="27px" height="24px" border="0" class="img_whs9"> button in the toolbar. The 
+ a path </B></span>item or click <img src="image101.gif" width="27px" height="24px" border="0" class="img_whs1"> button in the toolbar. The 
  following dialog box will appear:</p>
 
-<p class="whs8">&nbsp;</p>
+<p class="whs12">&nbsp;</p>
 
 <p class=TODO
-	style="margin-left: 80px;"><img src="pics/a-extusionalongapath2.png" x-maintain-ratio="TRUE" width="434px" height="541px" border="0" class="img_whs10"></p>
+	style="margin-left: 80px;"><img src="pics/extrusion1.png" x-maintain-ratio="TRUE" width="441px" height="541px" border="0" class="img_whs22"></p>
 
-<p class="whs8">&nbsp;</p>
+<p class="whs12">&nbsp;</p>
 
-<p class="whs8">2. In the dialog box you should &nbsp;</p>
+<p class="whs12">2. In the dialog box you should &nbsp;</p>
 
-<ul type="disc" class="whs11">
+<ul type="disc" class="whs3">
 	
-	<li class=kadov-p><p class="whs12">select the type of 
+	<li class=kadov-p><p class="whs23">select the type of 
  elements which will be extruded (1D or 2D),</p></li>
 	
-	<li class=kadov-p><p class="whs12">specify the IDs of 
+	<li class=kadov-p><p class="whs23">specify the <span style="font-weight: bold;"><B>IDs 
- the elements which will be extruded by selecting them in the 3D viewer 
+ of the elements</B></span> which will be extruded by selecting them in the 
- or <span style="font-weight: bold;"><B>Select the whole mesh, submesh or 
+ 3D viewer or <span style="font-weight: bold;"><B>Select the whole mesh, submesh 
- grou</B></span>p,</p></li>
+ or group</B></span>,</p></li>
 	
-	<li class=kadov-p><p class="whs12">specify the path along 
+	<li class=kadov-p><p class="whs23">define the <span style="font-weight: bold;"><B>Path</B></span> 
- which the elements will be extruded, for this you should specify the <span 
+ along which the elements will be extruded, </p></li>
- style="font-weight: bold;"><B>Mesh</B></span>, the <span style="font-weight: bold;"><B>Shape</B></span>, 
- and the <span style="font-weight: bold;"><B>Start point</B></span> for the extrusion. 
- </p></li>
 </ul>
 
-<p class="whs8">&nbsp;</p>
+<p class="whs24">Path definition consists of several elements 
+ </p>
 
-<p class="whs8">3. There are two optional parameters, which 
+<ul type="disc" class="whs3">
+	
+	<li class=kadov-p><p class="whs25">Mesh 
+ - <span style="font-weight: normal;">containing a 1D sub-mesh on the edge, 
+ along which proceeds the extrusion.</span></p></li>
+	
+	<li class=kadov-p><p class="whs25">Shape 
+ (edge) - <span style="font-weight: normal;">as the mesh can be complex, 
+ the edge is used to define the sub-mesh for the path.</span></p></li>
+	
+	<li class=kadov-p><p class="whs25">Start 
+ node - <span style="font-weight: normal;">&nbsp;the 
+ first or the last node on the edge. It is used to define the direction 
+ of extrusion.</span></p></li>
+</ul>
+
+<p class="whs12">&nbsp;</p>
+
+<p class="whs12">3. There are two optional parameters, which 
  can be very useful.</p>
 
-<ul type="disc" class="whs11">
+<ul type="disc" class="whs3">
 	
-	<li class=kadov-p><p class="whs12">If the path of extrusion 
+	<li class=kadov-p><p class="whs23">If the path of extrusion 
  is curvilinear, at each iteration the extruded shape is rotated to keep 
  its initial angularity to the curve. By default, the <span style="font-weight: bold;"><B>Base 
- point</B></span> around which the shape is rotated is the mass center of the 
+ Point</B></span> around which the shape is rotated is the mass center of the 
  shape, however, you can specify any point as the <span style="font-weight: bold;"><B>Base 
  Point</B></span> and the shape will be rotated with respect to this point.</p></li>
 	
-	<li class=kadov-p><p class="whs12">The shape can also 
+	<li class=kadov-p><p class="whs23">The shape can also 
  be rotated around the path to get the resulting mesh in a helical fashion. 
- At the picture above we see both &quot;oblique-angled&quot; and &quot;right-angled&quot; 
+ You can set the values of angles at the right, add them to the list of 
- mesh elements because <span style="font-weight: bold;"><B>Rotation Angles</B></span> 
+ angles at the left by pressing the <img src="image105.gif" width="26px" height="25px" border="0" class="img_whs26"> button and remove them 
- have not been set for all iterations. You set the values of the angles 
+ from the list by pressing the <img src="image106.gif" width="29px" height="28px" border="0" class="img_whs27"> button. </p></li>
- at the right and add them to the list of angles at the left by pressing 
- the <img src="image105.gif" width="26px" height="25px" border="0" class="img_whs13"> button and remove the values from the list by pressing 
- the <img src="image106.gif" width="29px" height="28px" border="0" class="img_whs14"> button. </p></li>
 </ul>
 
-<p class="whs8">4. Click the <span style="font-weight: bold;"><B>Apply 
+<p class="whs12">4. Click the <span style="font-weight: bold;"><B>Apply 
- </B></span>or <span style="font-weight: bold;"><B>OK </B></span>button.</p>
+ </B></span>or <span style="font-weight: bold;"><B>OK </B></span>button. Mesh edges 
+ will be extruded into faces, faces into volumes. The external surface 
+ of the resulting 3d mesh (if faces have been extruded) is covered with 
+ faces, and corners with edges. If the path is closed, the resulting mesh 
+ can contain duplicated nodes and faces, because no sewing is done.</p>
 
-<p class="whs8">&nbsp;</p>
+<p class="whs12">&nbsp;</p>
 
 <p>&nbsp;<span style="font-weight: bold;"><B>See 
  Also</B></span> a sample TUI Script of an <a href="modifying_meshes.htm#bookmark10">Extrusion 

doc/salome/gui/SMESH/modifying_meshes.htm

@@ -20,7 +20,11 @@ p.whs5 { margin-top:0.5pt; margin-bottom:0pt; font-family:'Lucida Console' , mon
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 <!--
@@ -1206,191 +1210,444 @@ if (window.writeIntopicBar)
 
 <h3><a name=bookmark9>Extrusion</a></h3>
 
-<p class="whs8">import SMESH</p>
+<p class="whs7">import SMESH</p>
 
-<p class="whs8">import SMESH_mechanic</p>
+<p class="whs7">import SMESH_mechanic</p>
 
-<p class="whs8">&nbsp;</p>
+<p class="whs7">&nbsp;</p>
 
-<p class="whs8">smesh &nbsp;= 
+<p class="whs7">smesh &nbsp;= 
  SMESH_mechanic.smesh</p>
 
-<p class="whs8">mesh &nbsp;&nbsp;= 
+<p class="whs7">mesh &nbsp;&nbsp;= 
  SMESH_mechanic.mesh</p>
 
-<p class="whs8">salome = SMESH_mechanic.salome</p>
+<p class="whs7">salome = SMESH_mechanic.salome</p>
 
 <p class="whs7">&nbsp;</p>
 
 <p class="whs8"># extrusion of the group</p>
 
-<p class="whs8">point = SMESH.PointStruct(0, 
+<p class="whs7">point = SMESH.PointStruct(0, 
  0, 5)</p>
 
-<p class="whs8">vector = SMESH.DirStruct(point)</p>
+<p class="whs7">vector = SMESH.DirStruct(point)</p>
 
-<p class="whs8">FacesTriToQuad = [2381, 
+<p class="whs7">FacesTriToQuad = [2381, 
  2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 
  2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 
  2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 
  2418, 2419, 2420, 2421, 2422]</p>
 
-<p class="whs8">&nbsp;</p>
+<p class="whs7">&nbsp;</p>
 
-<p class="whs8">GroupTriToQuad = mesh.CreateGroup(SMESH.FACE,&quot;Group 
+<p class="whs7">GroupTriToQuad = mesh.CreateGroup(SMESH.FACE,&quot;Group 
  of faces (quad)&quot;)</p>
 
-<p class="whs8">GroupTriToQuad.Add(FacesTriToQuad)</p>
+<p class="whs7">GroupTriToQuad.Add(FacesTriToQuad)</p>
 
-<p class="whs8">&nbsp;</p>
+<p class="whs7">&nbsp;</p>
 
-<p class="whs8">aMeshEditor = mesh.GetMeshEditor()</p>
+<p class="whs7">aMeshEditor = mesh.GetMeshEditor()</p>
 
-<p class="whs8">aMeshEditor.ExtrusionSweepObject(GroupTriToQuad, 
+<p class="whs7">aMeshEditor.ExtrusionSweepObject(GroupTriToQuad, 
  vector, 5)</p>
 
-<p class="whs8">&nbsp;</p>
+<p class="whs7">&nbsp;</p>
 
-<p class="whs8">salome.sg.updateObjBrowser(1) 
+<p class="whs8"><span style="font-family: 'Lucida Console', monospace;">salome.sg.updateObjBrowser(1)</span> 
  </p>
 
 <p class="whs8">&nbsp;</p>
 
 <h3><a name=bookmark10>Extrusion along a Path</a></h3>
 
-<p class="whs7">import geompy</p>
+<p class="whs7">import math</p>
 
-<p class="whs7">import smesh</p>
+<p class="whs7">&nbsp;</p>
 
 <p class="whs7">import salome</p>
 
+<p class="whs7">salome.salome_init()</p>
+
+<p class="whs7">&nbsp;</p>
+
+<p class="whs8"># Geometry</p>
+
+<p class="whs7">import geompy</p>
+
+<p class="whs8">&nbsp;</p>
+
+<p class="whs8"># 1. Create points</p>
+
+<p class="whs7">points = [[0, 0], 
+ [50, 30], [50, 110], [0, 150], [-80, 150], [-130, 70], [-130, -20]]</p>
+
+<p class="whs7">&nbsp;</p>
+
+<p class="whs7">iv = 1</p>
+
+<p class="whs7">vertices = []</p>
+
+<p class="whs7">for point in points:</p>
+
+<p class="whs9">vert 
+ = geompy.MakeVertex(point[0], point[1], 0)</p>
+
+<p class="whs9">geompy.addToStudy(vert, 
+ &quot;Vertex_&quot; + `iv`)</p>
+
+<p class="whs9">vertices.append(vert)</p>
+
+<p class="whs9">iv 
+ += 1</p>
+
+<p class="whs9">pass</p>
+
+<p class="whs8">&nbsp;</p>
+
+<p class="whs8"># 2. Create edges and 
+ wires</p>
+
+<p class="whs7">Edge_straight = geompy.MakeEdge(vertices[0], 
+ vertices[4])</p>
+
+<p class="whs7">Edge_bezierrr = geompy.MakeBezier(vertices)</p>
+
+<p class="whs7">Wire_polyline = geompy.MakePolyline(vertices)</p>
+
+<p class="whs7">Edge_Circle &nbsp;&nbsp;= 
+ geompy.MakeCircleThreePnt(vertices[0], vertices[1], vertices[2])</p>
+
+<p class="whs7">&nbsp;</p>
+
+<p class="whs7">geompy.addToStudy(Edge_straight, 
+ &quot;Edge_straight&quot;)</p>
+
+<p class="whs7">geompy.addToStudy(Edge_bezierrr, 
+ &quot;Edge_bezierrr&quot;)</p>
+
+<p class="whs7">geompy.addToStudy(Wire_polyline, 
+ &quot;Wire_polyline&quot;)</p>
+
+<p class="whs7">geompy.addToStudy(Edge_Circle 
+ &nbsp;, &quot;Edge_Circle&quot;)</p>
+
+<p class="whs8">&nbsp;</p>
+
+<p class="whs8"># 3. Explode wire on 
+ edges, as they will be used for mesh extrusion</p>
+
+<p class="whs7">Wire_polyline_edges 
+ = geompy.SubShapeAll(Wire_polyline, geompy.ShapeType[&quot;EDGE&quot;])</p>
+
+<p class="whs7">for ii in range(len(Wire_polyline_edges)):</p>
+
+<p class="whs9">geompy.addToStudyInFather(Wire_polyline, 
+ Wire_polyline_edges[ii], &quot;Edge_&quot; + `ii + 1`)</p>
+
+<p class="whs9">pass</p>
+
+<p class="whs10">&nbsp;</p>
+
+<p class="whs8"># Mesh</p>
+
+<p class="whs7">import smesh</p>
+
 <p class="whs7">import SMESH</p>
 
 <p class="whs7">&nbsp;</p>
 
-<p class="whs8"># create a face to be 
+<p class="whs7">gen = smesh.smesh</p>
- meshed</p>
-
-<p class="whs7">px = geompy.MakeVertex(100., 
- 0. &nbsp;, 0. 
- &nbsp;)</p>
-
-<p class="whs7">py = geompy.MakeVertex(0. 
- &nbsp;, 100., 
- 0. &nbsp;)</p>
-
-<p class="whs7">pz = geompy.MakeVertex(0. 
- &nbsp;, 0. &nbsp;, 
- 100.)</p>
 
 <p class="whs7">&nbsp;</p>
 
-<p class="whs7">vxy = geompy.MakeVector(px, 
+<p class="whs7">smeshgui = salome.ImportComponentGUI(&quot;SMESH&quot;)</p>
- py)</p>
 
-<p class="whs7">arc = geompy.MakeArc(py, 
+<p class="whs7">smeshgui.Init(salome.myStudyId)</p>
- pz, px)</p>
-
-<p class="whs7">&nbsp;</p>
-
-<p class="whs7">wire = geompy.MakeWire([vxy, 
- arc])</p>
-
-<p class="whs7">isPlanarFace = 1</p>
-
-<p class="whs7">&nbsp;</p>
-
-<p class="whs7">face1 = geompy.MakeFace(wire, 
- isPlanarFace)</p>
-
-<p class="whs7">id_face1 = geompy.addToStudy(face1, 
- &quot;Face1&quot;)</p>
-
-<p class="whs7">&nbsp;</p>
-
-<p class="whs8"># create a 2D mesh on 
- the face</p>
-
-<p class="whs7">trias = smesh.Mesh(face1, 
- &quot;Face : 2D mesh&quot;)</p>
-
-<p class="whs7">&nbsp;</p>
-
-<p class="whs7">algo = trias.Segment()</p>
-
-<p class="whs7">algo.NumberOfSegments(6)</p>
-
-<p class="whs7">&nbsp;</p>
-
-<p class="whs7">algo = trias.Triangle()</p>
-
-<p class="whs7">algo.LengthFromEdges()</p>
-
-<p class="whs7">&nbsp;</p>
-
-<p class="whs7">trias.Compute()</p>
-
-<p class="whs7">&nbsp;</p>
-
-<p class="whs8"># create a path mesh</p>
-
-<p class="whs7">px1 = geompy.MakeVertex(100., 
- 100. &nbsp;, 
- 0. &nbsp;)</p>
-
-<p class="whs7">py1 = geompy.MakeVertex(-100. 
- &nbsp;, -100., 
- 0. &nbsp;)</p>
-
-<p class="whs7">pz1 = geompy.MakeVertex(0. 
- &nbsp;, 0. &nbsp;, 
- 50.)</p>
-
-<p class="whs7">&nbsp;</p>
-
-<p class="whs7">circle = geompy.MakeCircleThreePnt(py1, 
- pz1, px1)</p>
-
-<p class="whs7">id_circle = geompy.addToStudy(circle, 
- &quot;Path&quot;)</p>
-
-<p class="whs7">&nbsp;</p>
-
-<p class="whs7">circlemesh = smesh.Mesh(circle, 
- &quot;Path mesh&quot;)</p>
-
-<p class="whs7">&nbsp;</p>
-
-<p class="whs7">algo = circlemesh.Segment()</p>
-
-<p class="whs7">algo.NumberOfSegments(10)</p>
-
-<p class="whs7">&nbsp;</p>
-
-<p class="whs7">circlemesh.Compute()</p>
-
-<p class="whs7">&nbsp;</p>
-
-<p class="whs8"># extrusion of the mesh</p>
-
-<p class="whs8"># The mesh &quot;trias&quot; 
- will be extruded along another mesh, which is a sub-mesh of &quot;circlemesh&quot;,</p>
-
-<p class="whs8"><span style="font-family: 'Times New Roman', serif;"># 
- corresponding to geometry &quot;circle&quot;. In this particular case 
- the path mesh will be the whole &quot;circlemesh&quot;</span></p>
 
 <p class="whs8">&nbsp;</p>
 
-<p class="whs7">aMeshEditor = trias.GetMesh().GetMeshEditor()</p>
+<p class="whs8"># 1D algorithm and three 
+ 1D hypotheses</p>
 
-<p class="whs7">aMeshEditor.ExtrusionAlongPathObject(trias.GetMesh(), 
+<p class="whs7">Wire_discretisation 
- circlemesh.GetMesh(), circle, 1, 0, [], 0, SMESH.PointStruct(0, 0, 0))</p>
+ = gen.CreateHypothesis('Regular_1D', 'libStdMeshersEngine.so')</p>
 
 <p class="whs7">&nbsp;</p>
 
-<p class="whs8"><span style="font-family: 'Lucida Console', monospace;">salome.sg.updateObjBrowser(1)</span> 
+<p class="whs7">Nb_Segments_3 = gen.CreateHypothesis('NumberOfSegments', 
- </p>
+ 'libStdMeshersEngine.so')</p>
+
+<p class="whs7">Nb_Segments_7 = gen.CreateHypothesis('NumberOfSegments', 
+ 'libStdMeshersEngine.so')</p>
+
+<p class="whs7">Nb_Segments_8 = gen.CreateHypothesis('NumberOfSegments', 
+ 'libStdMeshersEngine.so')</p>
+
+<p class="whs7">&nbsp;</p>
+
+<p class="whs7">Nb_Segments_3.SetNumberOfSegments(3)</p>
+
+<p class="whs7">Nb_Segments_7.SetNumberOfSegments(7)</p>
+
+<p class="whs7">Nb_Segments_8.SetNumberOfSegments(8)</p>
+
+<p class="whs8">&nbsp;</p>
+
+<p class="whs8"># Mesh given shape with 
+ given 1d hypothesis</p>
+
+<p class="whs7">def Mesh1D(shape1d, 
+ hyp1d, name):</p>
+
+<p class="whs9">mesh1d_tool 
+ = smesh.Mesh(shape1d)</p>
+
+<p class="whs9">mesh1d 
+ = mesh1d_tool.GetMesh()</p>
+
+<p class="whs9">status 
+ = mesh1d.AddHypothesis(shape1d, hyp1d)</p>
+
+<p class="whs9">status 
+ = mesh1d.AddHypothesis(shape1d, Wire_discretisation)</p>
+
+<p class="whs9">isDone 
+ = mesh1d_tool.Compute()</p>
+
+<p class="whs9">if 
+ not isDone: print 'Mesh ', name, ': computation failed'</p>
+
+<p class="whs9">return 
+ mesh1d</p>
+
+<p class="whs7">&nbsp;</p>
+
+<p class="whs8"># Create mesh with six 
+ nodes, seven edges and two quadrangle faces</p>
+
+<p class="whs7">def MakeQuadMesh2(mesh_name):</p>
+
+<p class="whs9">quad_1 
+ = gen.CreateEmptyMesh()</p>
+
+<p class="whs9">smeshgui.SetName(salome.ObjectToID(quad_1), 
+ mesh_name)</p>
+
+<p class="whs9">editor_1 
+ = quad_1.GetMeshEditor()</p>
+
+<p class="whs10">&nbsp;</p>
+
+<p class="whs10"># six nodes</p>
+
+<p class="whs9">n1 
+ = editor_1.AddNode(0, 20, 10)</p>
+
+<p class="whs9">n2 
+ = editor_1.AddNode(0, 40, 10)</p>
+
+<p class="whs9">n3 
+ = editor_1.AddNode(0, 40, 30)</p>
+
+<p class="whs9">n4 
+ = editor_1.AddNode(0, 20, 30)</p>
+
+<p class="whs9">n5 
+ = editor_1.AddNode(0, &nbsp;0, 
+ 30)</p>
+
+<p class="whs9">n6 
+ = editor_1.AddNode(0, &nbsp;0, 
+ 10)</p>
+
+<p class="whs10">&nbsp;</p>
+
+<p class="whs10"># seven edges</p>
+
+<p class="whs9">editor_1.AddEdge([n1, 
+ n2]) # 1</p>
+
+<p class="whs9">editor_1.AddEdge([n2, 
+ n3]) # 2</p>
+
+<p class="whs9">editor_1.AddEdge([n3, 
+ n4]) # 3</p>
+
+<p class="whs9">editor_1.AddEdge([n4, 
+ n1]) # 4</p>
+
+<p class="whs9">editor_1.AddEdge([n4, 
+ n5]) # 5</p>
+
+<p class="whs9">editor_1.AddEdge([n5, 
+ n6]) # 6</p>
+
+<p class="whs9">editor_1.AddEdge([n6, 
+ n1]) # 7</p>
+
+<p class="whs10">&nbsp;</p>
+
+<p class="whs10"># two quadrangle faces</p>
+
+<p class="whs9">editor_1.AddFace([n1, 
+ n2, n3, n4]) # 8</p>
+
+<p class="whs9">editor_1.AddFace([n1, 
+ n4, n5, n6]) # 9</p>
+
+<p class="whs9">return 
+ [quad_1, editor_1, [1,2,3,4,5,6,7], [8,9]]</p>
+
+<p class="whs8">&nbsp;</p>
+
+<p class="whs8"># Path meshes</p>
+
+<p class="whs7">Edge_straight_mesh 
+ = Mesh1D(Edge_straight, Nb_Segments_7, &quot;Edge_straight&quot;)</p>
+
+<p class="whs7">Edge_bezierrr_mesh 
+ = Mesh1D(Edge_bezierrr, Nb_Segments_7, &quot;Edge_bezierrr&quot;)</p>
+
+<p class="whs7">Wire_polyline_mesh 
+ = Mesh1D(Wire_polyline, Nb_Segments_3, &quot;Wire_polyline&quot;)</p>
+
+<p class="whs7">Edge_Circle_mesh &nbsp;&nbsp;= 
+ Mesh1D(Edge_Circle &nbsp;, 
+ Nb_Segments_8, &quot;Edge_Circle&quot;)</p>
+
+<p class="whs8">&nbsp;</p>
+
+<p class="whs8"># Initial meshes (to 
+ be extruded)</p>
+
+<p class="whs7">[quad_1, editor_1, 
+ ee_1, ff_1] = MakeQuadMesh2(&quot;quad_1&quot;)</p>
+
+<p class="whs7">[quad_2, editor_2, 
+ ee_2, ff_2] = MakeQuadMesh2(&quot;quad_2&quot;)</p>
+
+<p class="whs7">[quad_3, editor_3, 
+ ee_3, ff_3] = MakeQuadMesh2(&quot;quad_3&quot;)</p>
+
+<p class="whs7">[quad_4, editor_4, 
+ ee_4, ff_4] = MakeQuadMesh2(&quot;quad_4&quot;)</p>
+
+<p class="whs7">[quad_5, editor_5, 
+ ee_5, ff_5] = MakeQuadMesh2(&quot;quad_5&quot;)</p>
+
+<p class="whs7">[quad_6, editor_6, 
+ ee_6, ff_6] = MakeQuadMesh2(&quot;quad_6&quot;)</p>
+
+<p class="whs7">[quad_7, editor_7, 
+ ee_7, ff_7] = MakeQuadMesh2(&quot;quad_7&quot;)</p>
+
+<p class="whs8">&nbsp;</p>
+
+<p class="whs8"># ExtrusionAlongPath</p>
+
+<p class="whs8"># IDsOfElements, PathMesh, 
+ PathShape, NodeStart,</p>
+
+<p class="whs8"># HasAngles, Angles, 
+ HasRefPoint, RefPoint</p>
+
+<p class="whs8">&nbsp;</p>
+
+<p class="whs7">refPoint = SMESH.PointStruct(0, 
+ 0, 0)</p>
+
+<p class="whs7">&nbsp;</p>
+
+<p class="whs7">a10 = 10.0*math.pi/180.0</p>
+
+<p class="whs7">a45 = 45.0*math.pi/180.0</p>
+
+<p class="whs8">&nbsp;</p>
+
+<p class="whs8"># 1. Extrusion of two 
+ mesh edges along straight path</p>
+
+<p class="whs7">error = editor_1.ExtrusionAlongPath([1,2], 
+ Edge_straight_mesh, Edge_straight, 1,</p>
+
+<p class="whs11">&nbsp;&nbsp;&nbsp;&nbsp;0, 
+ [], 0, refPoint)</p>
+
+<p class="whs8">&nbsp;</p>
+
+<p class="whs8"># 2. Extrusion of one 
+ mesh edge along curved path</p>
+
+<p class="whs7">error = editor_2.ExtrusionAlongPath([2], 
+ Edge_bezierrr_mesh, Edge_bezierrr, 1,</p>
+
+<p class="whs11">&nbsp;&nbsp;&nbsp;&nbsp;0, 
+ [], 0, refPoint)</p>
+
+<p class="whs8">&nbsp;</p>
+
+<p class="whs8"># 3. Extrusion of one 
+ mesh edge along curved path with angles usage</p>
+
+<p class="whs7">error = editor_3.ExtrusionAlongPath([2], 
+ Edge_bezierrr_mesh, Edge_bezierrr, 1,</p>
+
+<p class="whs11">&nbsp;&nbsp;&nbsp;&nbsp;1, 
+ [a45, a45, a45, 0, -a45, -a45, -a45], 0, refPoint)</p>
+
+<p class="whs8">&nbsp;</p>
+
+<p class="whs8"># 4. Extrusion of one 
+ mesh edge along path, which is a part of meshed wire</p>
+
+<p class="whs7">error = editor_4.ExtrusionAlongPath([4], 
+ Wire_polyline_mesh, Wire_polyline_edges[0], 1,</p>
+
+<p class="whs11">&nbsp;&nbsp;&nbsp;&nbsp;1, 
+ [a10, a10, a10], 0, refPoint)</p>
+
+<p class="whs8">&nbsp;</p>
+
+<p class="whs8"># 5. Extrusion of two 
+ mesh faces along path, which is a part of meshed wire</p>
+
+<p class="whs7">error = editor_5.ExtrusionAlongPath(ff_5 
+ , Wire_polyline_mesh, Wire_polyline_edges[2], 4,</p>
+
+<p class="whs11">&nbsp;&nbsp;&nbsp;&nbsp;0, 
+ [], 0, refPoint)</p>
+
+<p class="whs8">&nbsp;</p>
+
+<p class="whs8"># 6. Extrusion of two 
+ mesh faces along closed path</p>
+
+<p class="whs7">error = editor_6.ExtrusionAlongPath(ff_6 
+ , Edge_Circle_mesh, Edge_Circle, 1,</p>
+
+<p class="whs11">&nbsp;&nbsp;&nbsp;&nbsp;0, 
+ [], 0, refPoint)</p>
+
+<p class="whs8">&nbsp;</p>
+
+<p class="whs8"># 7. Extrusion of two 
+ mesh faces along closed path with angles usage</p>
+
+<p class="whs7">error = editor_7.ExtrusionAlongPath(ff_7, 
+ Edge_Circle_mesh, Edge_Circle, 1,</p>
+
+<p class="whs11">&nbsp;&nbsp;&nbsp;&nbsp;1, 
+ [a45, -a45, a45, -a45, a45, -a45, a45, -a45], 0, refPoint)</p>
+
+<p class="whs8">&nbsp;</p>
+
+<p class="whs7">if salome.sg.hasDesktop():</p>
+
+<p class="whs12">salome.sg.updateObjBrowser(1)</p>
+
+<p class="whs12">pass</p>
 
 <h3><a name=bookmark11>Revolution</a></h3>
 
@@ -1443,9 +1700,6 @@ if (window.writeIntopicBar)
 
 <h3><a name=bookmark13>Pattern Mapping</a></h3>
 
-<p>Attention! This script was written using old approach, based on direct usage of SMESH idl interface. To be updated for version 3.2.1 to use <b>smesh</b> package.
-<br>&nbsp;
-
 <p class="whs7">import salome</p>
 
 <p class="whs7">import geompy</p>
@@ -1545,7 +1799,7 @@ if (window.writeIntopicBar)
 
 <p class="whs7">if (isDone != 1):</p>
 
-<p class="whs9">print 
+<p class="whs13">print 
  'LoadFromFace :', pattern.GetErrorCode()</p>
 
 <p class="whs7">&nbsp;</p>
@@ -1561,7 +1815,7 @@ if (window.writeIntopicBar)
 
 <p class="whs7">if (isDone != 1):</p>
 
-<p class="whs9">print 
+<p class="whs13">print 
  'MakeMesh :', pattern.GetErrorCode()</p>
 
 <p class="whs7">&nbsp;</p>