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129 lines
4.7 KiB
ReStructuredText
129 lines
4.7 KiB
ReStructuredText
.. _projection_algos_page:
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*********************
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Projection Algorithms
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*********************
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.. contents:: `Table of contents`
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Projection algorithms allow to define the mesh of a geometrical
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object by the projection of another already meshed geometrical object.
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.. note::
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Source and target geometrical objects mush be topologically equal, i.e. they must have same number of sub-shapes, connected to corresponding counterparts.
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.. image:: ../images/topo_equality.png
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:align: center
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.. centered::
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Topologically equal faces suitable for 2D projection.
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.. _projection_1D:
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Projection 1D
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=============
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**Projection 1D** algorithm allows to define the mesh of an edge (or group of edges)
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by the projection of another already meshed edge (or group of edges).
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To apply this algorithm select the edge to be meshed (indicated in
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the field **Geometry** of **Create mesh** dialog box),
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**Projection1D** in the list of 1D algorithms and click the
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*"Add Hypothesis"* button.
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The following dialog box will appear:
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.. image:: ../images/projection_1d.png
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:align: center
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In this dialog you can define
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* the **Name** of the algorithm,
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* the already meshed **Source Edge** and
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* the **Source Mesh** (It can be omitted only when projecting a sub-mesh on another one of the same Mesh).
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* It could also be necessary to define the orientation of edges, which is done by indicating the **Source Vertex** being the first point of the **Source Edge** and the **Target Vertex** being the first point of the edge being meshed.
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For a group of edges, **Source** and **Target** vertices should be
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shared by only one edge of the group. If **Source** and **Target**
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vertices are specified, the edges in the group must be connected.
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The source and target groups must contain equal number of edges
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and they must form topologically equal structures.
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.. _projection_2D:
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Projection 2D
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=============
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**Projection 2D** algorithm allows to define the mesh of a face
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(or group of faces) by the projection of another already meshed face
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(or group of faces). This algorithm works only if all edges of the
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target face have been discretized into the same number of
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segments as corresponding edges of the source face.
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To apply this algorithm select the face to be meshed (indicated in the
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field **Geometry** of **Create mesh** dialog box), **Projection
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2D** in the list of 2D algorithms and click the *"Add Hypothesis"* button. The following dialog box will appear:
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.. image:: ../images/projection_2d.png
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:align: center
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In this dialog you can define
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* the **Name** of the algorithm,
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* the already meshed **Source Face** and
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* the **Source Mesh** (It can be omitted only when projecting a submesh on another one of the same Mesh).
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* It could also be necessary to define the orientation of mesh on the face, which is done by indicating two **Source Vertices**, which belong to the same edge of the **Source Face**, and two **Target Vertices**, which belong to the same edge of the face being meshed.
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The groups of faces are suitable for this algorithm only if they
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contain an equal number of faces and form topologically equal
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structures.
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.. _projection_1D2D:
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Projection 1D-2D
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================
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**Projection 1D-2D** algorithm differs from
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:ref:`projection_2D` algorithm in one aspect: it generates mesh segments
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on edges of the face according to the projected 2D elements; thus it
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does not require the edges to be meshed by any other 1D algorithm;
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moreover it does not allow to mesh edges of the face using another
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algorithm via definition of sub-meshes.
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.. _projection_3D:
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Projection 3D
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=============
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**Projection 3D** algorithm allows to define the mesh of a shape by
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the projection of another already meshed shape. This algorithm works
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only if all faces and edges of the target shape have been meshed as 1D-2D
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Projections of the faces and edges of the source shape. Another
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limitation is that this algorithm currently works only on boxes.
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To apply this algorithm select the solid to be meshed (indicated in
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the field **Geometry** of **Create mesh** dialog box), **Projection 3D**
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in the list of 3D algorithms and click the button. The
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following dialog box will appear:
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.. image:: ../images/projection_3d.png
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:align: center
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In this menu you can define the **Name** of the algorithm, the already
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meshed source **3D shape** and the **Mesh** (It can be omitted only when
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projecting a submesh on another one from the same global Mesh).
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It could also be necessary to define the orientation of mesh on the shape, which is
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done by indicating two **Source Vertices**, which belong to the same edge
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of the source **3D Shape**, and two **Target Vertices**, which belong to the
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same edge of the source **3D Shape**.
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**See Also** a sample TUI Script of a
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:ref:`tui_projection`.
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