\<pattern_name\>.smp file.
The smp file contains 4 sections:
-<ol>
-<li>The first line holds the number of nodes (N).</li>
-<li>The next N lines describe nodes coordinates. Each line holds 2
-coordinates of a node.</li>
-
-<li>A key-points line: indices of nodes to be mapped on geometrical
-vertices. An index n refers to a node described on an n-th line of
-section 2. The first node index is zero.</li>
-
-<li>The rest lines describe nodal connectivity of elements, one line
+-# The first line holds the total number of the pattern nodes (N).
+-# The next N lines describe nodes coordinates. Each line holds 2
+coordinates of a node for 2D pattern or 3 cordinates for 3D pattern.
+Note, that for 3D pattern only relateive values in range [0;1] are
+valid for coordinates of the nodes.
+-# A key-points line: indices of nodes to be mapped on geometrical
+vertices (for 2D pattern only). An index n refers to a node described
+on an n-th line of section 2. The first node index is zero. For 3D
+pattern key points are not specified.
+-# The rest lines describe nodal connectivity of elements, one line
for an element. A line holds indices of nodes forming an element. An
index n refers to a node described on an n-th line of the section
2. The first node index is zero. There must be 3 or 4 indices on a
-line: only 2d elements are allowed.</li>
-</ol>
+line for 2D pattern (only 2d elements are allowed) and 4, 5, 6 or 8
+indices for 3D pattern (only 3d elements are allowed).
The 2D pattern must contain at least one element and at least one
key-point. All key-points must lay on boundaries.
-An example of a simple smp file and a preview of a pattern described
-in this file:
-
-\image html image94.gif
+The 3D pattern must contain at least one element.
+
+An example of a simple 2D pattern smp file:
+
+\code
+!!! SALOME 2D mesh pattern file
+!!!
+!!! Nb of points:
+9
+ 200 0 !- 0
+ 100 0 !- 1
+ 0 0 !- 2
+ 0 -100 !- 3
+ 0 -200 !- 4
+ 100 -200 !- 5
+ 200 -200 !- 6
+ 200 -100 !- 7
+ 100 -100 !- 8
+!!! Indices of 4 key-points
+ 2 0 4 6
+!!! Indices of points of 6 elements
+ 0 1 8
+ 8 5 6 7
+ 2 3 8
+ 8 3 4 5
+ 8 7 0
+ 8 1 2
+\endcode
+
+The image below provides a preview of above described pattern:
+
+\image html pattern2d.png
+
+An example of a simple 3D pattern smp file:
+
+\code
+!!! SALOME 3D mesh pattern file
+!!!
+!!! Nb of points:
+9
+ 0 0 0 !- 0
+ 1 0 0 !- 1
+ 0 1 0 !- 2
+ 1 1 0 !- 3
+ 0 0 1 !- 4
+ 1 0 1 !- 5
+ 0 1 1 !- 6
+ 1 1 1 !- 7
+ 0.5 0.5 0.5 !- 8
+!!! Indices of points of 6 elements:
+ 0 1 5 4 8
+ 7 5 1 3 8
+ 3 2 6 7 8
+ 2 0 4 6 8
+ 0 2 3 1 8
+ 4 5 7 6 8
+\endcode
<br><h2>Application of pattern mapping</h2>
\image html patternmapping1.png
+<center><b> 2D Pattern Mapping dialog box</b></center>
+
\image html patternmapping2.png
+<center><b> 3D Pattern Mapping dialog box</b></center>
+
To apply a pattern to a geometrical object, you should specify:
-<ul>
-<li>a face having the number of vertices equal to the number of
-key-points in the pattern; the number of key-points on internal
-boundaries of a pattern must also be equal to the number of vertices
-on internal boundaries of a face;</li>
-<li>a vertex to which the first key-point should be mapped;</li>
-<li>reverse or not the order of key-points. (The order of vertices of
-a face is counterclockwise looking from outside).</li>
-</ul>
+
+-# For 2D pattern
+ - A face having the number of vertices equal to the number of
+ key-points in the pattern; the number of key-points on internal
+ boundaries of a pattern must also be equal to the number of vertices
+ on internal boundaries of a face;
+ - A vertex to which the first key-point should be mapped;
+ - Reverse or not the order of key-points. (The order of vertices of
+ a face is counterclockwise looking from outside).
+-# For 3D pattern
+ - 3D block (Solid) object;
+ - Two vertices that specify the order of nodes in the resulting
+ mesh.
Then you either load a .smp pattern file previously created manually
by clicking on the <em>"Load pattern"</em> button, or click on the \b
-New button for automatic generation.
-\n For an automatic generation you just specify a geometrical face
-having a mesh built on it. Mesh nodes lying on face vertices become
-key-points. Additionally, you may choose the way of getting nodes
-coordinates by <b>projecting nodes on the face</b> instead of using
+New button for automatic generation of the pattern.
+
+For an automatic generation you just specify a geometrical face (for
+2D) or solid (for 3d) having a mesh built on it. Mesh nodes lying on
+face vertices become key-points of 2D pattern. Additionally, for 2D
+pattern you may choose the way of getting nodes coordinates by
+<b>projecting nodes on the face</b> instead of using
"positions on face" generated by mesher (if there is any). Faces
having a seam edge can't be used for automatic pattern creation.
When creating a pattern from an existing mesh, there are two possible
cases:
-<ol>
-<li>A sub-mesh on face is selected. A pattern is created from the 2d
-elements bound to a face by mesher. Node coordinates are either
+
+- A sub-mesh on face/solid is selected. A pattern is created from the 2d/3d
+elements bound to a face/solid by mesher. For 2D pattern, node coordinates are either
"positions on face" computed by mesher, or coordinates got by node
-projection on a geometrical surface, according to your choice.</li>
-<li>A mesh where the main shape is a face, is selected. A pattern is
-created from all the 2d elements in a mesh. If all mesh elements are
-build by mesher, the user can select the way of getting nodes
-coordinates, else all nodes are projected on a face surface.</li>
-</ol>
+projection on a geometrical surface, according to the user choice. For
+3D pattern, nodes coordinates correspond to the nodes computed by mesher.
+- A mesh where the main shape is a face/solid, is selected. A pattern is
+created from all the 2d/3d elements in a mesh. In addition, for 2D
+pattern, if all mesh elements are build by mesher, the user can select
+the way of getting nodes coordinates, else all nodes are projected on
+a face surface.
\image html a-patterntype.png
+<center><b> 2D Pattern Creation dialog box</b></center>
+
\image html a-patterntype1.png
+<center><b> 3D Pattern Creation dialog box</b></center>
+
<br><h2>Mapping algorithm</h2>
-The mapping algorithm is as follows:
-<ol>
-<li>Key-points are set in the order that they are encountered when
-walking along a pattern boundary so that elements are on the left. The
-first key-point is preserved.
-</li>
-
-<li>Find geometrical vertices corresponding to key-points by vertices
-order in a face boundary; here, "Reverse order of key-points" flag is
-taken into account.
-
-\image html image95.gif
-</li>
-
-<li>Boundary nodes of a pattern are mapped onto edges of a face: a
-node located between certain key-points on a pattern boundary is
-mapped on a geometrical edge limited by corresponding geometrical
-vertices. Node position on an edge reflects its distance from two
-key-points.
-
-\image html image96.gif
-</li>
-
-<li>Coordinates of a non-boundary node in a parametric space of a face
-are defined as following. In a parametric space of a pattern, a node
-lays at the intersection of two iso-lines, each of which intersects a
-pattern boundary at least at two points. Knowing mapped positions of
-boundary nodes, we find where isoline-boundary intersection points are
-mapped to, and hence we can find mapped isolines direction and then,
-two node positions on two mapped isolines. The eventual mapped
-position of a node is found as an average of positions on mapped
-isolines.
-
-\image html image97.gif
-</li>
-</ol>
-
-<br><b>See Also</b> a sample TUI Script of a
+The mapping algorithm for 2D case is as follows:
+
+- Key-points are set in the order that they are encountered when
+ walking along a pattern boundary so that elements are on the left. The
+ first key-point is preserved.
+- Find geometrical vertices corresponding to key-points by vertices
+ order in a face boundary; here, "Reverse order of key-points" flag is
+ taken into account. \image html image95.gif
+- Boundary nodes of a pattern are mapped onto edges of a face: a
+ node located between certain key-points on a pattern boundary is
+ mapped on a geometrical edge limited by corresponding geometrical
+ vertices. Node position on an edge reflects its distance from two
+ key-points. \image html image96.gif
+- Coordinates of a non-boundary node in a parametric space of a face
+ are defined as following. In a parametric space of a pattern, a node
+ lays at the intersection of two iso-lines, each of which intersects a
+ pattern boundary at least at two points. Knowing mapped positions of
+ boundary nodes, we find where isoline-boundary intersection points are
+ mapped to, and hence we can find mapped isolines direction and then,
+ two node positions on two mapped isolines. The eventual mapped
+ position of a node is found as an average of positions on mapped
+ isolines. \image html image97.gif
+
+For 3D case the algorithm is similar.
+
+<b>See Also</b> a sample TUI Script of a
\ref tui_pattern_mapping "Pattern Mapping" operation.
*/
