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117 lines
4.7 KiB
Plaintext
117 lines
4.7 KiB
Plaintext
/*!
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\page projection_algos_page Projection Algorithms
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\tableofcontents
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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 Source and target geometrical objects mush be topologically
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equal, i.e. they must have same number of sub-shapes, connected to
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corresponding counterparts.
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\image html topo_equality.png Topologically equal faces suitable for 2D projection.
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\section projection_1D Projection 1D
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<b>Projection 1D</b> algorithm allows to define the mesh of an edge
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(or group of edges)
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by the projection of another already meshed edge (or group of edges).
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\n To apply this algorithm select the edge to be meshed (indicated in
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the field \b Geometry of <b>Create mesh</b> dialog box),
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<b>Projection1D</b> in the list of 1D algorithms and click the
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<em>"Add Hypothesis"</em> button.
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The following dialog box will appear:
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\image html projection_1d.png
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In this dialog you can define
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<ul>
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<li> the \b Name of the algorithm,</li>
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<li> the already meshed <b> Source Edge</b> and </li>
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<li> the <b>Source Mesh </b> (It can be omitted only when projecting
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a sub-mesh on another one of the same Mesh).</li>
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<li> It could also be necessary to define the orientation of edges,
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which is done by indicating the <b>Source Vertex</b> being the
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first point of the <b>Source Edge </b>and the <b>Target Vertex</b> being
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the first point of the edge being meshed.</li>
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</ul>
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<br>
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For a group of edges, <b>Source</b> and <b>Target</b> vertices should be
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shared by only one edge of the group. If <b>Source</b> and <b>Target</b>
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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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\section projection_2D Projection 2D
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\n <b>Projection 2D</b> 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 \b Geometry of <b>Create mesh</b> dialog box), <b>Projection
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2D</b> in the list of 2D algorithms and click the <em> "Add
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Hypothesis"</em> button. The following dialog box will appear:
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\image html projection_2d.png
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In this dialog you can define
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<ul>
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<li> the \b Name of the algorithm, </li>
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<li> the already meshed <b> Source Face </b> and </li>
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<li> the <b> Source Mesh </b> (It can be omitted only when
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projecting a submesh on another one of the same Mesh). </li>
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<li> It could also be necessary to define the orientation of mesh on
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the face, which is done by indicating two <b>Source Vertices</b>,
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which belong to the same edge of the <b>Source Face</b>, and
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two <b>Target Vertices</b>, which belong to the same edge of the
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face being meshed.</li>
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</ul>
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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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\section projection_1D2D Projection 1D-2D
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\n <b>Projection 1D-2D</b> 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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\section projection_3D Projection 3D
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\n <b>Projection 3D</b> 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 \b Geometry of <b>Create mesh</b> dialog box), <b>Projection
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3D</b> 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 html projection_3d.png
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In this menu you can define the \b Name of the algorithm, the already
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meshed source <b>3D shape</b> and the \b 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 <b>Source Vertices</b>, which belong to the same edge
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of the source <b>3D Shape</b>, and two <b>Target Vertices</b>, which belong to the
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same edge of the source <b>3D Shape</b>.
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<br><b>See Also</b> a sample TUI Script of a
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\ref tui_projection "Projection Algorithms".
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*/
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