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-/*!
-
-\page extrusion_along_path_page Extrusion along Path
-
-\n In principle, Extrusion along Path works in the same way
-as \ref extrusion_page "Extrusion", the main difference is that we
-define not a vector, but a path of extrusion which must be an 1D mesh
-or 1D sub-mesh.
-To get an idea of how this algorithm works, examine several examples,
-starting from the most simple case of extrusion along a straight edge.
-In the examples the sample mesh will be extruded along different
-paths and with different parameters.
-This 2D mesh has two quadrangle faces and seven edges. Look
-at the picture, where white digits are the node numbers and green
-are the element numbers:
-
-\image html mesh_for_extr_along_path.png
-
-
Extrusion along a straight edge
(not using base point
-or angles)
-
-\image html straight_before.png
-The image shows a 1D path mesh, built on a linear edge, and the initial 2D mesh.
-
-\image html straight_after.png
- The image shows the result of extrusion of two edges
-(#1 and #2) of the initial mesh along the path. \n Node #1 of path mesh
-has been selected as Start node.
-
-
Extrusion along a curvilinear edge
(with and
-without angles)
-
-\image html curvi_simple_before.png
-The image shows a 1D path mesh, built on curvilinear edge, and
-the initial 2D mesh.
-
-\image html curvi_simple_after.png
-The central image shows the result of extrusion of one edge
-(#2) of the initial mesh along the path. \n Node #1 of path mesh has
-been selected as Start node.
-
-\image html curvi_angles_after.png
-The same, but using angles {45, 45, 45, 0, -45, -45, -45}
-
-
Extrusion of a 2D face along a mesh built on a wire
-
-In this example the path mesh has been built on a wire containing 3
-edges. Node 1 is a start node. Linear angle variation by 180 degrees
-has also been applied.
-
-\image html extr_along_wire_before.png
-Meshed wire
-
-\image html extr_along_wire_after.png
-The resulting extrusion
-
-
Extrusion of 2d elements along a closed path
-
-\image html circle_simple_before.png
-The image shows a path mesh built on a closed edge
-(circle).
-
-\image html circle_simple_after.png
-The central image shows the result of extrusion of both faces
-of the initial mesh. \n Note, that no sewing has been done, so, there are
-six coincident nodes and two coincident faces in the resulting
-mesh.
-
-\image html circle_angles_after.png
-The same, but using angles {45, -45, 45, -45, 45, -45, 45, -45}
-
-
-
To use Extrusion along Path:
-
-- From the \b Modification menu choose the Extrusion along a
-path item or click "Extrusion along a path" button in the toolbar.
-
-\image html image101.png
-"Extrusion along a path" button
-
-The following dialog will appear:
-
-\image html extrusion_along_path_dlg.png
-
-
-- In this dialog:
-
- - Use \a Selection button to specify what you are going to
- select at a given moment, \b Nodes, \b Edges or \b Faces.
-\image html image120.png
-"Selection" button
-
- - Specify \b Nodes, \b Edges and \b Faces, which will be extruded, by one
- of following means:
-
- - Select the whole mesh, sub-mesh or group activating this
- check-box.
- - Choose mesh elements with the mouse in the 3D Viewer. It is
- possible to select a whole area with a mouse frame.
- - Input the element IDs directly in Node IDs, Edge
- IDs and Face IDs fields. The selected elements will
- be highlighted in the viewer, if the mesh is shown there.
- - Apply Filters. Set filter button allows to apply a
- filter to the selection of elements. See more about filters in
- the \ref filtering_elements "Selection filters" page.
-
-
- - Define the \b Path along which the elements will be extruded.
- Path definition consists of several elements:
-
- - Mesh or sub-mesh - 1D mesh or sub-mesh, along which
- proceeds the extrusion.
- - Start node - the start node of the Path. It is used
- to define the direction of extrusion.
-
-
- - If you activate Generate Groups check-box, the result elements
- created from selected elements contained in groups will be
- included into new groups named by pattern "_extruded" and "_top". For example if a
- selected quadrangle is included in \a g_Faces group (see figures
- below) then result hexahedra will be included in \a
- g_Faces_extruded group and a quadrangle created at the "top" of
- extruded mesh will be included in \a g_Faces_top group.
-\image html extrusion_groups.png
-\image html extrusion_groups_res.png
- This check-box is active only if there are some groups in the mesh.
-
-
-
-
-- There are two optional parameters, which can be very useful:
-
-- If the path of extrusion is curvilinear, at each iteration the
- extruded elements are rotated to keep its initial angularity to the
- curve. By default, the Base Point around which the elements
- are rotated is the mass center of the elements (note that it can
- differ from the gravity center computed by \a Geometry module for the
- underlying shape), however, you can specify any point as the Base
- Point and the elements will be rotated with respect to this
- point.
- Note that only the displacement of the Base Point exactly
- equals to the path, and all other extruded elements simply keep
- their position relatively to the Base Point at each
- iteration.
-- The elements can also be rotated around the path to get the
- resulting mesh in a helical fashion. You can set the values of
- angles at the right, add them to the list of angles at the left by
- pressing the "Add" button and remove them from the list by
- pressing the "Remove" button.
-\image html add.png
-"Add" button
-\image html remove.png
-"Remove" button
-
-Linear variation of the angles option allows defining the angle
-of gradual rotation for the whole path. At each step the elements will
-be rotated by
( angle / nb. of steps )
.
-
-
-
-
-
-- Click \b Apply or Apply and Close button to confirm the
- operation. 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.
-
-
-
-
See Also a sample TUI Script of an
-\ref tui_extrusion_along_path "Extrusion along a Path" operation.
-
-*/