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<h1>Transforming Meshes</h1>

<h3 class="whs1">Transforming Meshes</h3>

<h4 class="whs2">&nbsp;</h4>

<h4 class="whs2"><a name=bookmark>Translation</a></h4>

<p class="whs3">&nbsp;</p>

<p class="whs3">import SMESH</p>

<p class="whs3">import SMESH_mechanic</p>

<p class="whs3">&nbsp;</p>

<p class="whs3">mesh &nbsp;&nbsp;= 
 SMESH_mechanic.mesh</p>

<p class="whs3">salome = SMESH_mechanic.salome</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># translate a mesh</p>

<p class="whs3">anEditor = mesh.GetMeshEditor()</p>

<p class="whs3">point = SMESH.PointStruct(-150, -150, 
 0)</p>

<p class="whs3">vector = SMESH.DirStruct(point) </p>

<p class="whs3">anEditor.TranslateObject(mesh, vector, 
 1)</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"><span style="font-family: 'Lucida Console', monospace;">salome.sg.updateObjBrowser(1)</span> 
 </p>

<p class="whs4">&nbsp;</p>

<h4 class="whs2"><a name=bookmark1>Rotation</a></h4>

<p class="whs3">&nbsp;</p>

<p class="whs3">import SMESH</p>

<p class="whs3">import SMESH_mechanic</p>

<p class="whs3">&nbsp;</p>

<p class="whs3">import math</p>

<p class="whs3">mesh &nbsp;&nbsp;= 
 SMESH_mechanic.mesh</p>

<p class="whs3">salome = SMESH_mechanic.salome</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># rotate a mesh </p>

<p class="whs3">anEditor = mesh.GetMeshEditor()</p>

<p class="whs3">axisXYZ = SMESH.AxisStruct(0, 0, 0, 5, 
 5, 20)</p>

<p class="whs3">angle180 = &nbsp;1.5*math.pi</p>

<p class="whs3">anEditor.RotateObject(mesh, axisXYZ, angle180, 
 1)</p>

<p class="whs3">&nbsp;</p>

<p class="whs5">salome.sg.updateObjBrowser(1)</p>

<p class="whs4">&nbsp;</p>

<p class="whs4">&nbsp;</p>

<h4 class="whs2"><a name=bookmark2>Symmetry</a></h4>

<p class="whs3">&nbsp;</p>

<p class="whs3">import SMESH</p>

<p class="whs3">import SMESH_mechanic</p>

<p class="whs3">&nbsp;</p>

<p class="whs3">import math</p>

<p class="whs3">mesh &nbsp;&nbsp;= 
 SMESH_mechanic.mesh</p>

<p class="whs3">salome = SMESH_mechanic.salome</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># create a symmetrical 
 copy of the mesh mirrored through a point</p>

<p class="whs3">anEditor = mesh.GetMeshEditor()</p>

<p class="whs3">anEditor.MirrorObject(mesh, SMESH.AxisStruct(0, 
 0, 0, 0, 0, 0), SMESH.SMESH_MeshEditor.POINT, 1) </p>

<p class="whs3">&nbsp;</p>

<p class="whs4"><span style="font-family: 'Lucida Console', monospace;">salome.sg.updateObjBrowser(1)</span> 
 </p>

<p class="whs4">&nbsp;</p>

<p class="whs4">&nbsp;</p>

<h4 class="whs2"><a name=bookmark3>Merging 
 Nodes</a></h4>

<p class="whs3">&nbsp;</p>

<p class="whs3">import SMESH</p>

<p class="whs3">import SMESH_mechanic</p>

<p class="whs3">&nbsp;</p>

<p class="whs3">smesh &nbsp;= 
 SMESH_mechanic.smesh</p>

<p class="whs3">mesh &nbsp;&nbsp;= 
 SMESH_mechanic.mesh</p>

<p class="whs3">salome = SMESH_mechanic.salome</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># merge nodes</p>

<p class="whs3">aMeshEditor = mesh.GetMeshEditor()</p>

<p class="whs3">Tolerance = 25.0</p>

<p class="whs3">&nbsp;</p>

<p class="whs3">GroupsOfNodes = aMeshEditor.FindCoincidentNodes(Tolerance)</p>

<p class="whs3">aMeshEditor.MergeNodes(GroupsOfNodes)</p>

<p class="whs3">&nbsp;&nbsp;&nbsp;&nbsp;</p>

<p class="whs4"><span style="font-family: 'Lucida Console', monospace;">salome.sg.updateObjBrowser(1)</span> 
 </p>

<p class="whs4">&nbsp;</p>

<h4><a name=bookmark8>Merging Elements</a></h4>

<p class="whs5">import geompy</p>

<p class="whs5">import smesh</p>

<p class="whs5">import salome</p>

<p class="whs5">import SMESH</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># create a face to be meshed</p>

<p class="whs5">px = geompy.MakeVertex(100., 
 0. &nbsp;, 0. 
 &nbsp;)</p>

<p class="whs5">py = geompy.MakeVertex(0. 
 &nbsp;, 100., 
 0. &nbsp;)</p>

<p class="whs5">pz = geompy.MakeVertex(0. 
 &nbsp;, 0. &nbsp;, 
 100.)</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">vxy = geompy.MakeVector(px, 
 py)</p>

<p class="whs5">arc = geompy.MakeArc(py, 
 pz, px)</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">wire = geompy.MakeWire([vxy, 
 arc])</p>

<p class="whs5">isPlanarFace = 1</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">face1 = geompy.MakeFace(wire, 
 isPlanarFace)</p>

<p class="whs5">id_face1 = geompy.addToStudy(face1, 
 &quot;Face1&quot;)</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># create a 2D mesh on the 
 face</p>

<p class="whs5">trias = smesh.Mesh(face1, 
 &quot;Face : 2D mesh&quot;)</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">algo = trias.Segment()</p>

<p class="whs5">algo.NumberOfSegments(6)</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">algo = trias.Triangle()</p>

<p class="whs5">algo.LengthFromEdges()</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">trias.Compute()</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">tri_mesh = trias.GetMesh()</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># create a path mesh</p>

<p class="whs5">px1 = geompy.MakeVertex(100., 
 100. &nbsp;, 
 0. &nbsp;)</p>

<p class="whs5">py1 = geompy.MakeVertex(-100. 
 &nbsp;, -100., 
 0. &nbsp;)</p>

<p class="whs5">pz1 = geompy.MakeVertex(0. 
 &nbsp;, 0. &nbsp;, 
 50.)</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">circle = geompy.MakeCircleThreePnt(py1, 
 pz1, px1)</p>

<p class="whs5">id_circle = geompy.addToStudy(circle, 
 &quot;Path&quot;)</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">circlemesh = smesh.Mesh(circle, 
 &quot;Path mesh&quot;)</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">algo = circlemesh.Segment()</p>

<p class="whs5">algo.NumberOfSegments(10)</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">circlemesh.Compute()</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># extrusion of the mesh</p>

<p class="whs5">aMeshEditor = tri_mesh.GetMeshEditor()</p>

<p class="whs5">aMeshEditor.ExtrusionAlongPathObject(tri_mesh, 
 circlemesh.GetMesh(), circle, 1, 0, [], 0, SMESH.PointStruct(0, 0, 0))</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># merge nodes</p>

<p class="whs5">print &quot;Number 
 of nodes before MergeNodes:&quot;, tri_mesh.NbNodes()</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">tolerance = 0.001</p>

<p class="whs5">array_of_nodes_groups 
 = aMeshEditor.FindCoincidentNodes(tolerance)</p>

<p class="whs5">aMeshEditor.MergeNodes(array_of_nodes_groups)</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">print &quot;Number 
 of nodes after MergeNodes:&quot;, tri_mesh.NbNodes()</p>

<p class="whs5">print &quot;&quot;</p>

<p class="whs5">print &quot;Number 
 of elements before MergeEqualElements:&quot;</p>

<p class="whs5">print &quot;Edges 
 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;: 
 &quot;, tri_mesh.NbEdges()</p>

<p class="whs5">print &quot;Triangles 
 &nbsp;: &quot;, 
 tri_mesh.NbTriangles()</p>

<p class="whs5">print &quot;Quadrangles: 
 &quot;, tri_mesh.NbQuadrangles()</p>

<p class="whs5">print &quot;Volumes 
 &nbsp;&nbsp;&nbsp;: 
 &quot;, tri_mesh.NbVolumes()</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># merge elements</p>

<p class="whs5">aMeshEditor.MergeEqualElements()</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">print &quot;Number 
 of elements after MergeEqualElements:&quot;</p>

<p class="whs5">print &quot;Edges 
 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;: 
 &quot;, tri_mesh.NbEdges()</p>

<p class="whs5">print &quot;Triangles 
 &nbsp;: &quot;, 
 tri_mesh.NbTriangles()</p>

<p class="whs5">print &quot;Quadrangles: 
 &quot;, tri_mesh.NbQuadrangles()</p>

<p class="whs5">print &quot;Volumes 
 &nbsp;&nbsp;&nbsp;: 
 &quot;, tri_mesh.NbVolumes()</p>

<p class="whs5">&nbsp;</p>

<p class="whs4"><span style="font-family: 'Lucida Console', monospace;">salome.sg.updateObjBrowser(1)</span> 
 </p>

<h3>Sewing Meshes</h3>

<h4><a name=bookmark4>Sew Meshes Border to Border</a></h4>

<p class="whs5">import salome</p>

<p class="whs5">import geompy</p>

<p class="whs5">import smesh</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># create two faces of a 
 box</p>

<p class="whs5">box1 = geompy.MakeBox(0., 
 0., -10., 30., 20., 25.)</p>

<p class="whs5">subShapeList1 = 
 geompy.SubShapeAll(box1, geompy.ShapeType[&quot;FACE&quot;])</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">box2 = geompy.MakeBox(0., 
 5., 0., 20., 20., 15.)</p>

<p class="whs5">subShapeList2 = 
 geompy.SubShapeAll(box2, geompy.ShapeType[&quot;FACE&quot;])</p>

<p class="whs5">EdgesList = geompy.SubShapeAll(subShapeList2[ 
 1 ], geompy.ShapeType[&quot;EDGE&quot;])</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">aComp = geompy.MakeCompound( 
 [subShapeList1[ 2 ], subShapeList2[ 1 ]] )</p>

<p class="whs5">idComp = geompy.addToStudy( 
 aComp, &quot;Two faces&quot; )</p>

<p class="whs5">aCompobj &nbsp;= 
 salome.IDToObject( idComp )</p>

<p class="whs5">&nbsp;</p>

<p class="whs4"># create a mesh on two 
 faces</p>

<p class="whs4">&nbsp;</p>

<p class="whs5">mesh = smesh.Mesh(aCompobj, 
 &quot;Two faces : quadrangle mesh&quot;)</p>

<p class="whs5">algo = mesh.Segment()</p>

<p class="whs5">&nbsp;</p>

<p class="whs4"># define &quot;NumberOfSegments&quot; 
 hypothesis to cut an edge in a fixed number of segments</p>

<p class="whs5">algo.NumberOfSegments(9)</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># create a quadrangle 2D 
 algorithm for faces</p>

<p class="whs5">mesh.Quadrangle()</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># create a local hypothesis</p>

<p class="whs5">algo = mesh.Segment(EdgesList[2])</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># define &quot;Arithmetic1D&quot; 
 hypothesis to cut an edge in several segments with increasing arithmetic 
 length </p>

<p class="whs5">algo.Arithmetic1D(1, 
 4)</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># define &quot;Propagation&quot; 
 hypothesis that propagates all other hypothesis on all edges on the opposite 
 side in case of quadrangular faces</p>

<p class="whs5">algo.Propagation()</p>

<p class="whs5">mesh.Compute()</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># sew free borders</p>

<p class="whs5">anEditor = mesh.GetMesh().GetMeshEditor()</p>

<p class="whs5">anEditor.SewBorderToSide(5, 
 45, 6, 113, 109, 0, 0)</p>

<p class="whs5">&nbsp;</p>

<p class="whs4"><span style="font-family: 'Lucida Console', monospace;">salome.sg.updateObjBrowser(1)</span> 
 </p>

<p class="whs4">&nbsp;</p>

<h4><a name=bookmark5>Sew Conform Free Borders</a></h4>

<p class="whs5">import salome</p>

<p class="whs5">import geompy</p>

<p class="whs5">import smesh</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># create two faces of the 
 box</p>

<p class="whs5">box1 = geompy.MakeBox(0., 
 0., -10., 20., 20., 15.)</p>

<p class="whs5">subShapeList1 = 
 geompy.SubShapeAll(box1, geompy.ShapeType[&quot;FACE&quot;])</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">box2 = geompy.MakeBox(0., 
 5., 0., 20., 20., 15.)</p>

<p class="whs5">subShapeList2 = 
 geompy.SubShapeAll(box2, geompy.ShapeType[&quot;FACE&quot;])</p>

<p class="whs5">EdgesList = geompy.SubShapeAll(subShapeList2[ 
 1 ], geompy.ShapeType[&quot;EDGE&quot;])</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">aComp = geompy.MakeCompound( 
 [subShapeList1[ 2 ], subShapeList2[ 1 ]] )</p>

<p class="whs5">idComp = geompy.addToStudy( 
 aComp, &quot;Two faces&quot; )</p>

<p class="whs5">aCompobj &nbsp;= 
 salome.IDToObject( idComp )</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># create a mesh on two 
 faces</p>

<p class="whs5">mesh = smesh.Mesh(aCompobj, 
 &quot;Two faces : quadrangle mesh&quot;)</p>

<p class="whs5">algo = mesh.Segment()</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># define &quot;NumberOfSegments&quot; 
 hypothesis to cut an edge in a fixed number of segments</p>

<p class="whs5">algo.NumberOfSegments(9)</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># create a quadrangle 2D 
 algorithm for faces</p>

<p class="whs5">mesh.Quadrangle()</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># create a local hypothesis</p>

<p class="whs5">algo = mesh.Segment(EdgesList[2])</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># define &quot;Arithmetic1D&quot; 
 hypothesis to cut an edge in several segments with increasing arithmetic 
 length </p>

<p class="whs5">algo.Arithmetic1D(1, 
 4)</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># define &quot;Propagation&quot; 
 hypothesis that propagate all other hypothesis on all edges on<span style="margin-top: 0pt; margin-bottom: 0pt;"> 
 the opposite side in case of quadrangular faces</span></p>

<p class="whs5">algo.Propagation()</p>

<p class="whs5">mesh.Compute()</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># sew free borders</p>

<p class="whs5">anEditor = mesh.GetMesh().GetMeshEditor()</p>

<p class="whs5">anEditor.SewConformFreeBorders(5, 
 45, 6, 3, 24)</p>

<p class="whs4"><span style="font-family: 'Lucida Console', monospace;">salome.sg.updateObjBrowser(1)</span> 
 </p>

<p class="whs4">&nbsp;</p>

<h4><a name=bookmark6>Sew Free Borders</a></h4>

<p class="whs5">import salome</p>

<p class="whs5">import geompy</p>

<p class="whs5">import smesh</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># create two faces of the 
 box</p>

<p class="whs5">box1 = geompy.MakeBox(0., 
 0., 0., 20., 20., 15.)</p>

<p class="whs5">subShapeList1 = 
 geompy.SubShapeAll(box1, geompy.ShapeType[&quot;FACE&quot;])</p>

<p class="whs4">&nbsp;</p>

<p class="whs5">box2 = geompy.MakeBox(0., 
 5., 0., 20., 20., 15.)</p>

<p class="whs5">subShapeList2 = 
 geompy.SubShapeAll(box2, geompy.ShapeType[&quot;FACE&quot;])</p>

<p class="whs5">EdgesList = geompy.SubShapeAll(subShapeList2[ 
 1 ], geompy.ShapeType[&quot;EDGE&quot;])</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">aComp = geompy.MakeCompound( 
 [subShapeList1[ 2 ], subShapeList2[ 1 ]] )</p>

<p class="whs5">idComp = geompy.addToStudy( 
 aComp, &quot;Two faces&quot; )</p>

<p class="whs5">aCompobj &nbsp;= 
 salome.IDToObject( idComp )</p>

<p class="whs5">&nbsp;</p>

<p class="whs4"># create a mesh on two 
 faces</p>

<p class="whs5">mesh = smesh.Mesh(aCompobj, 
 &quot;Two faces : quadrangle mesh&quot;)</p>

<p class="whs5">algo = mesh.Segment()</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># define &quot;NumberOfSegments&quot; 
 hypothesis to cut an edge in a fixed number of segments</p>

<p class="whs5">algo.NumberOfSegments(4)</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># creates a quadrangle 
 2D algorithm for faces</p>

<p class="whs5">mesh.Quadrangle()</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># create a local hypothesis</p>

<p class="whs5">algo = mesh.Segment(EdgesList[2])</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># define &quot;Arithmetic1D&quot; 
 hypothesis to cut an edge in several segments with &nbsp;increasing 
 arithmetic length</p>

<p class="whs5">algo.Arithmetic1D(1, 
 4)</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># define &quot;Propagation&quot; 
 hypothesis that propagate all other hypothesis on all edges on<span style="margin-top: 0pt; margin-bottom: 0pt;"> 
 the opposite side in case of quadrangular faces</span></p>

<p class="whs5">algo.Propagation()</p>

<p class="whs5">mesh.Compute()</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># sew free borders</p>

<p class="whs5">anEditor = mesh.GetMesh().GetMeshEditor()</p>

<p class="whs5">anEditor.SewFreeBorders(6, 
 21, 5, 1, 12, 3, 0, 0)</p>

<p class="whs5">&nbsp;</p>

<p class="whs4"><span style="font-family: 'Lucida Console', monospace;">salome.sg.updateObjBrowser(1)</span> 
 </p>

<p class="whs4">&nbsp;</p>

<h4><a name=bookmark7>Sew Side Elements</a></h4>

<p class="whs5">import salome</p>

<p class="whs5">import geompy</p>

<p class="whs5">import smesh</p>

<p class="whs5">&nbsp;</p>

<p class="whs4"># create two faces of the 
 box</p>

<p class="whs5">box1 = geompy.MakeBox(0., 
 &nbsp;0., 0., 
 10., 10., 10.)</p>

<p class="whs5">box2 = geompy.MakeBox(0., 
 15., 0., 20., 25., 10.)</p>

<p class="whs5">EdgesList = geompy.SubShapeAll(box2, 
 geompy.ShapeType[&quot;EDGE&quot;])</p>

<p class="whs4">&nbsp;</p>

<p class="whs5">aComp = geompy.MakeCompound( 
 [box1, box2] )</p>

<p class="whs5">idComp = geompy.addToStudy( 
 aComp, &quot;Two faces&quot; )</p>

<p class="whs5">aCompobj &nbsp;= 
 salome.IDToObject( idComp )</p>

<p class="whs5">&nbsp;</p>

<p class="whs4"># create a mesh on two 
 faces</p>

<p class="whs5">mesh = smesh.Mesh(aCompobj, 
 &quot;Two faces : quadrangle mesh&quot;)</p>

<p class="whs5">algo = mesh.Segment()</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># define &quot;NumberOfSegments&quot; 
 hypothesis to cut an edge in a fixed number of segments</p>

<p class="whs5">algo.NumberOfSegments(2)</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># create a quadrangle 2D 
 algorithm for faces</p>

<p class="whs5">mesh.Quadrangle()</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># create a local hypothesis</p>

<p class="whs5">algo = mesh.Segment(EdgesList[8])</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># define &quot;Arithmetic1D&quot; 
 hypothesis to cut an edge in several segments with increasing arithmetic 
 length </p>

<p class="whs5">algo.NumberOfSegments(4)</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># define &quot;Propagation&quot; 
 hypothesis that propagates all other hypothesis on all edges on <span 
 style="margin-top: 0pt; margin-bottom: 0pt;">the opposite side in case 
 of quadrangular faces</span></p>

<p class="whs5">algo.Propagation()</p>

<p class="whs5">mesh.Compute()</p>

<p class="whs4">&nbsp;</p>

<p class="whs4"># sew free borders</p>

<p class="whs5">anEditor = mesh.GetMesh().GetMeshEditor()</p>

<p class="whs5">anEditor.SewSideElements([69, 
 70, 71, 72], [91, 92, 89, 90], 8, 38, 23, 58)</p>

<p class="whs4"><span style="font-family: 'Lucida Console', monospace;">salome.sg.updateObjBrowser(1)</span> 
 </p>

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