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三角剖分软件

软件简介

     This soft is about “A Two-Dimensional Quality Mesh Generator and Delaunay Triangulator ”. It contains plat a map、triangulations and Refining preexisting meshes and so on. Triangle is specialized for creating two-dimensional finite element meshes, but can also perform simpler related tasks such as forming Delaunay triangulations. A Delaunay triangulation of a vertex set is a triangulation of the vertex set with the property that no vertex in the vertex set falls in the interior of the circumcircle (circle that passes through all three vertices) of any triangle in the triangulation.

软件基本功能介绍
      Then we introduct the principal functions:
This is the overall grath.From the graph we can see the principal functions .
Move your mouse on top of each button and stop, a tip window will appear to give the details of this button. E.g:




Here is a rundown of the principal functions.They are about files“New”、”Open”、”Save”、”Save as”、”Quit” funcrions.If you poly a graph and want to save it, you can click ?”Save” to save it or click ?“Save as”to save as it.When you want to see the once graph,you can click ?“Open”to open the once graph.If you want to poly a new graph,you can click ?“New”.When you through the operation of graph ,you can click ?“Quit”.



“New”: Setup a new documentation.




These two graphs` function is same.

“Open”:Open a existing file.




These two graphs have the same function.

“Select”:

“Save”: Save an active file.




These two graphs have the same function.

“Save as”:

“Quit”:Quit the present operation.

“View”menu has four options-“Toolbar”、”MyToolBar”、”Status bar” and ”Original drawing”.
If you want to recover the vertex or polygons you once poly ,you can click ?“View -à Original drawing” to recover the graph as shown in the following figure.



 

Next is drawing graphs come on.These contains “Draw Polygons”、”Draw Holes”、”Draw Points”.

To edit a graph with holes and constrained line:
First, click “Draw Polygons” button to draw a polygon, left-click to draw each vertex of the polygon and right-click to end drawing a closed polygon.

Here is? “Draw Polygons”.


 

These two graphs have the same function.


Second, click “Draw Holes” button again to draw holes inside. Repeat the same steps above.And you can? click “Draw Holes” button again to draw constrained line, do not right-click and you will get un-closed polygon (line).

Here is “Draw Holes”.

 



These two graphs have the same function.


Then click “Draw point” button. And be sure to click “Draw point” button to draw ?points erery place in each polygon,and they are disorder.

Here is “Draw Points”.


 

These two graphs have the same function.

After drawing polygons、points and holes,then you can triangulate this polygon as shown in the following figure.

It contains “Triangulae Current ” and ”Triangulate Original”.
“Triangulate Current” is about a course of triangulation.If you discontent the triangulation graph,you can click ?“Triangulate Original” to recover the graph to original.



 

The two graphs have the same role.
They are equivalent.


That is the entire course of drawing .

If you discontent the triangulate graph,you can refine the preexisting meshes by steepest descent or conjugate gradient method as shown in the following figure.These two methods make the graph better beautiful.Their “weight ”and “Threshold”can set by yourself.
First ,Conjugate gradient method: This algorithm has a limited convergent guality.Its convergent speed of degressive is more quickly than steepest descent.
Then ,Steepest descent: Its step of calculation is simple,but its convergent speed is much slow.It contains “Steepest descent Step By Step”、” Steepest descent 3 step”、” Steepest descent(change some free vertexes to fixed vertexes)”、 Steepest descent(change back to free vertexes).
“Steepest descent Step By Step” is about just decent one time or the procedure break only run one time .
“Steepest descent 3 step” is about the procedure can break when it run 3 times.Beside this,you can set step number by “Default step number”.
“ Steepest descent(change some free vertexes to fixed vertexes)”is about when reefing the graph ,some vertexes` latitude is mush small,so we can use this function to change those vertexes to fixed vertexes,and you can use “Min Moving distance of free vertex” to set minimal distance.
.If you want to ?recover them ,you can uses “Steepest descent(change back to free vertexes)” to recover them to free vertexes.
“Constrained Steepest”and “Constrained conjugate Gradient ”by seting “Moving coeficient”
to limit refinging.

“Regularization Parameter Setup”





The details of “Regularization Parameter Setup”

The next figure is about zoom in or zoom out graph .Remarkably,”Zoom in”contains “Zoom in” and “Zoom in and scroll to the center” .

“Zoom in” is about enlarging a graph with a center of the place of the mouse.
“Zoom in and scroll to the center” is about enlarging a graph with a center of the graph.

In the same way “Zoom out ” also contains “Zoom in” and “Zoom in and scroll to the center”,their role are also in the same way.



If you feel the graph is too dense to see clearly,you can have the graph enlarged. Click “Zoom in” button to enlarge the graph, The next button is “Zoom in”button.It can enlarge a graph.

 

“Zoom in”



The next button are “Zoom out” button.It can reduce a graph.

“Zoom out”



The proportion of zoom in or zoom out.

The follows figure is directed mainly at some distinct triangles` points. After refining preexisting meshes, some distinct triangles have especial points - cuspidal points,if you want to move them ,you can click ?“Drag” to move the points .As follows figure:


 

The next figure is about “adjust a point`s coordinate ”.



The next figure is about some setup.It contains “Parameter Setup”、”Boundary”、”Regularization Parameter Setup”.



 



 

introductory and sketches
The “Parameter Setup”contains many functions.First the common settings contains:
“Angles”: Quality mesh generation with no angles smaller than 20 degrees.
An alternate minimum angle may be specified after the ` Angles '.
“Area”: Imposes a maximum triangle area constraint.
A fixed area constraint (that applies to every triangle) may be specified after the ` Area '.
“Enclose the conver hull”:
......................................................................
“Outputs a list of edges of the triangulation”:
Outputs (to an .edge file) a list of edges of the triangulation
“Triangulates a PSLG”: A Planar Straight Line Graph (PSLG) is a collection
of vertices and segments. Segments are edges whose endpoints are vertices in the PSLG,
and whose presence in any mesh generated from the PSLG is enforced.
“Conforming Delaunay”: A conforming Delaunay triangulation (CDT) of a
PSLG is a true Delaunay triangulation in which each PSLG segment may have been
subdivided into several edges by the insertion of additional vertices,
called Steiner points. Steiner points are necessary to allow the segments
to exist in the mesh while maintaining the Delaunay property. Steiner points
are also inserted to meet constraints on the minimum angle and maximum triangle area.


“Boundary Setup”:



 

The details of “Boundary Setup”


简单的操作实例

For example,click “ ” to draw an arbitrary polygon.



Click “ ?” to draw holes or walls or reservoir as follows graph.





Click “ ” to draw points.The points as triangulator vertexes later.


Click “” to triangulate .



Click “” to zoom in the graph.



Click “” to zoom out the graph.

Click “” to move points.



Click “Operation -> Trianglate -> Trianglate Original” to recover original graph.





Click “Opration -> Regularization->…”to refine the preexisting meshs.



 

Click “Setup -> Parameter Setup”ot set some parameter.



For example ,set area as 50(or you can set “Angles” as 30、40and so on ),you can see the graph as follows:





Then you can click “Operation -> Trianglate -> Trianglate Original” to recover original graph.



Click “” to save the graph.


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