SMS:Scatter Triangles Menu: Difference between revisions

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== General Commands ==
== General Commands ==
* [[SMS:Triangulate (Data Menu)|Triangulate]]
===[[SMS:Triangulate (Data Menu)|Triangulate]]===
Scatter points or mesh nodes can be triangulated to form piecewise linear surfaces. For scattered data, these surfaces are also referred to as TINs (Triangular Irregular Networks). For mesh nodes, they form a finite element mesh. The points/nodes are connected into surfaces as scatter sets or meshes are  created, but at times it may be necessary to reconnect the points (i.e. after  deleting individual points/nodes or triangles/elements). New triangles are constructed in mass by triangulating a set of points when the Triangulate command from the Scatter Data menu is executed. The selected points are connected with a series of triangles. If points are not selected, then all points will be triangulated.
 
[[Image:Triangulate1.jpg]]
 
====Delaunay Criterion====
The resulting triangulation satisfies the Delauney criterion. The Delauney criterion ensures that no vertex lies within the  interior of any of the circumcircles of the triangles in the network as shown  below:
 
[[Image:Triangulate2.jpg]]
[[Image:DelaunayCriterion.gif]]
 
Two Adjacent Triangles Which (a) Violate and (b) Honor the Delauney Criterion.
 
The result of enforcing the Delauney criterion is that long thin triangles are avoided as much as possible.
 
====Triangulate====
The vertices associated with the active scatter set can be triangulated using the Triangulate command from the [[SMS:Scatter_Triangles_Menu|Triangles menu]] in the [[SMS:Scatter Module|Scatter module]]. Mesh nodes (either the selected nodes, or all nodes) can be triangulated using the Triangulate command from the [[SMS:2D_Mesh_Elements_Menu|Elements menu]] in the [[SMS:Mesh_Module|2D Mesh module]].
 
* [[SMS:Optimize Triangulation (Data Menu)|Optimize Triangulation]]
* [[SMS:Optimize Triangulation (Data Menu)|Optimize Triangulation]]
* [[SMS:Select Thin Triangles (Data Menu)|Select Thin Triangles]]
* [[SMS:Select Thin Triangles (Data Menu)|Select Thin Triangles]]

Revision as of 19:30, 17 December 2012

The items unique to the Scatter module are listed below. The menu items operate on the active scatter set unless otherwise noted:

General Commands

Triangulate

Scatter points or mesh nodes can be triangulated to form piecewise linear surfaces. For scattered data, these surfaces are also referred to as TINs (Triangular Irregular Networks). For mesh nodes, they form a finite element mesh. The points/nodes are connected into surfaces as scatter sets or meshes are created, but at times it may be necessary to reconnect the points (i.e. after deleting individual points/nodes or triangles/elements). New triangles are constructed in mass by triangulating a set of points when the Triangulate command from the Scatter Data menu is executed. The selected points are connected with a series of triangles. If points are not selected, then all points will be triangulated.

Triangulate1.jpg

Delaunay Criterion

The resulting triangulation satisfies the Delauney criterion. The Delauney criterion ensures that no vertex lies within the interior of any of the circumcircles of the triangles in the network as shown below:

Triangulate2.jpg File:DelaunayCriterion.gif

Two Adjacent Triangles Which (a) Violate and (b) Honor the Delauney Criterion.

The result of enforcing the Delauney criterion is that long thin triangles are avoided as much as possible.

Triangulate

The vertices associated with the active scatter set can be triangulated using the Triangulate command from the Triangles menu in the Scatter module. Mesh nodes (either the selected nodes, or all nodes) can be triangulated using the Triangulate command from the Elements menu in the 2D Mesh module.

Related Topics