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235 lines
9.1 KiB
Plaintext
235 lines
9.1 KiB
Plaintext
/*!
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\page sewing_meshes_page Sewing meshes
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\n In SMESH you can sew elements of a mesh. The current
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functionality allows you to sew:
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<ul>
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<li>\ref free_borders_anchor "Free borders"</li>
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<li>\ref conform_free_borders_anchor "Conform free borders"</li>
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<li>\ref border_to_side_anchor "Border to side"</li>
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<li>\ref side_elements_anchor "Side elements"</li>
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</ul>
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\image html sewing.png "Sewing button"
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<em>To sew elements of a mesh:</em>
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<ol>
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<li>From the \b Modification menu choose the \b Transformation item
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and from its sub-menu select the \b Sewing item.</li>
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<li>Check in the dialog box one of the radio buttons corresponding to
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the type of sewing operation you would like to perform.</li>
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<li>Fill the other fields available in the dialog box.</li>
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<li>Click the \b Apply or <b>Apply and Close</b> button to perform the
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operation of sewing.</li>
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</ol>
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<br>
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\anchor free_borders_anchor
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<h2>Sew free borders</h2>
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This functionality allows you to unite free borders of a 2D mesh.
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There are two working modes: \a Automatic and \a Manual. In the \b
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Automatic mode, the program finds free borders coincident within the
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specified tolerance and sews them. Optionally it is possible to
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visually check and correct if necessary the found free borders before
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sewing. <br>
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In the \b Manual mode you are to define borders to sew by picking
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three nodes of each of two borders.
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\image html sewing1.png
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<center>Default mode is \a Automatic</center>
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To use \b Automatic sewing:
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<ul>
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<li>Specify the mesh you want to sew by selecting it or any its part
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(group or sub-mesh) in the Object Browser or in the VTK Viewer.</li>
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<li>Specify the \b Tolerance, within which free borders are considered
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coincident. At the default zero \b Tolerance, the tolerance used by
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the search algorithm is defined as one tenth of an average size of
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elements adjacent to compared free borders.</li>
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<li>To visually check the coincident free borders found by the
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algorithm, switch off <b>Auto Sewing</b> check-box. The controls
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to adjust groups of coincident free borders will become available in
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the dialog.</li>
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\image html sewing_auto.png
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<center>Controls to adjust groups of coincident free borders</center>
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<li>\b Detect button launches the algorithm of search of coincident
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free borders.</li>
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<li>The found groups of <b>Coincident Free Borders</b> are shown in the
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list, one group per line. Each group has its own color, which is used
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to display the group borders in the VTK Viewer. A free border
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within a group is designated by the IDs of its first, second and
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last nodes within parenthesis. All borders present in the list will
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be sewn upon \b Apply. </li>
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<li>\b Remove button removes the selected groups from the list.</li>
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<li><b>Select All</b> check-box selects all groups in the list.</li>
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<li>When a group is selected, its borders appear in <b>Edit Selected
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Group</b> list that allows you to change this group.</li>
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<li>
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\image html sort.png
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<em>Set First</em> button moves the selected border to the
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first position in the group, as a result other borders will be moved
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to this border during sewing.
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</li><li>
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\image html remove.png
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<em>Remove Border</em> button removes the selected borders from the
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group. It is active if there are more than two borders in the group.
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</li>
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<li>Selection of a border in the list allows changing its first and
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last nodes whose IDs appear in two fields below the list. \a Arrow
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buttons near each field move the corresponding end node by the
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number of nodes defined by \b Step field.</li>
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<li>
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\image html swap.png
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<em>Swap</em> button swaps the first and last nodes of a
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selected border.
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</li>
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</ul>
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For sewing free borders manually you should switch the \b Mode to \b
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Manual and define three points on each border: the first, the second and the
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last node:
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\image html sewing_manual.png
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<ul>
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<li>the first node specifies beginning of the border;</li>
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<li>the second node specifies the part of the border which should be
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considered (as far as the free border usually forms a closed
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contour);</li>
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<li>the last node specifies the end of the border.</li>
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</ul>
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You can select these nodes in the 3D viewer or define by its id.
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The first and the second nodes should belong to the same link of a
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face. The second and the last nodes of a border can be the same. The
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first and the last nodes of two borders can be the same. The
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corresponding end nodes of two borders will be merged. Intermediate
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nodes of two borders will be either merged or inserted into faces of
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the opposite border.
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In practice the borders to sew often coincide and in this case it is
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difficult to specify the first and the last nodes of a border since
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they coincide with the first and the last nodes of the other
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border. To cope with this,
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\ref merging_nodes_page "merge" coincident nodes into one
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beforehand. Two figures below illustrate this approach.
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\image html sew_using_merge.png "Merge coincident nodes, which are difficult to distinguish"
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<br>
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\image html sew_after_merge.png "After merging nodes it is easy to specify border nodes"
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The sewing algorithm is as follows:
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<ol>
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<li>The parameter (U) of each node within a border is computed. So
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that the first node has U=0.0, the last node has U=1.0, for the rest
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nodes 0.0 < U < 1.0;</li>
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<li>Compare node parameters of the two borders. If two nodes of the
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opposite borders have close parameters, they are merged, i.e. a node
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of the first border is replaced in all elements by a node of the
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second border. If a node has no node with a close parameter in the
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opposite border, it is inserted into an edge of element of the
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opposite border, an element is split. Two nodes are considered close
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enough to merge, if difference of their parameters is less than one
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fifth of minimum length of adjacent face edges on the borders.</li>
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</ol>
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\image html image22.jpg "Sewing free borders"
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<b>See Also</b> a sample TUI Script of a
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\ref tui_sew_free_borders "Sew Free Borders" operation.
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<br>
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\anchor conform_free_borders_anchor
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<h2>Sew conform free borders</h2>
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This functionality can be used to unite two free borders of a 2D mesh.
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\image html sewing2.png
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The borders of meshes for sewing are defined as for "Sew free borders"
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except that the second free border is not limited and can be defined
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by the first and the second nodes only. The first nodes of two borders
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can be the same.
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The algorithm is following: counting nodes starting at the first ones,
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the n-th node of the first border is merged with the n-th node of the
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other border, until the end of either of borders. Nodes of the first
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border are replaced in all elements with corresponding nodes of the
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second border.
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\n For sewing conform free borders you should define three points on
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the first border and two points on the second one. User can select
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these nodes in 3D viewer or define node by its id.
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\image html image23.jpg "Sewing conform free borders"
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<b>See Also</b> a sample TUI Script of a
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\ref tui_sew_conform_free_borders "Sew Conform Free Borders"
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operation.
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<br>
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\anchor border_to_side_anchor
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<h2>Sew border to side</h2>
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"Sew border to side" is intended to sew a free border to a mesh
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surface.
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\n The free border is defined as for "Sewing of free borders". The
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place where to sew the border is defined by two nodes, between which
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the border faces are placed, so that the first border node is merged
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with the first node on the side and the last node of the border is
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merged with the second specified node on the side.
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\image html sewing3.png
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The algorithm is following.
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<ol>
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<li>Find a sequence of linked nodes on the side such that the found
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links to be most co-directed with the links of the free border.</li>
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<li>Sew two sequences of nodes using algorithm of "Sewing of free berders".
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\n For sewing border to side you should define three points on the
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border and two points on the side. User can select these nodes in 3D
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viewer or define node by its id.</li>
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</ol>
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\image html image30.jpg "Sewing border to side"
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<b>See Also</b> a sample TUI Script of a
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\ref tui_sew_meshes_border_to_side "Sew Border to Side" operation.
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<br>
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\anchor side_elements_anchor
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<h2>Sew side elements</h2>
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This operation is intended to unite two mesh surfaces.
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\image html sewing4.png
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Surfaces may be defined by either 2d or 3d elements. The number of
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given elements of the sides must be the same. The sets of given
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elements must be topologically equal, i.e. each node of one element
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set must have a corresponding node in the other element set and
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corresponding nodes must be equally linked. If there are 3d elements
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in a set, only their free faces must obey to that rule.
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\n Two corresponding nodes on each side must be specified. They must
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belong to one element and must be located on an element set boundary.
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Sewing algorithm finds and merges the corresponding nodes starting
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from the specified ones.
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\image html image31.jpg "Step-by-step sewing process"
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\image html image32.jpg "The result of side elements sewing"
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For sewing side elements you should define elements for sewing and two
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nodes for merging on the each side. User can select these elements and
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nodes in 3D viewer or define them by its id.
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<b>See Also</b> a sample TUI Script of a
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\ref tui_sew_side_elements "Sew Side Elements" operation.
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*/
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