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Delaunay Triangulation with a hole in the domain

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Lockenlui
Lockenlui 2018-11-8
编辑： Bruno Luong 2018-11-8
Hi everyone,
I did some temperature measurments on a rectangular plate with a hole in the middle. The matrix with the temperature measurements is therefore of the following form (The indices of the matrix elements are proportional to the spatial coordinates of the measurement positions). 'a' represents some temperature value. '0' means that no temperature was recorded at this spatial point:
  • 0000000000000
  • 00aaaaaaaaa00
  • 00aaaaaaaaa00
  • 00aaa000aaa00
  • 00aa00000aa00
  • 00aaa000aaa00
  • 00aaaaaaaaa00
  • 00aaaaaaaaa00
  • 0000000000000
I would like to create a mesh of the 'a' entries omitting the '0' entries - using Delaunay triangulation - without the hole in the middle and the margins (the zero entries of the matrix). The mesh should represnt the shape of the plate, which should like this in the end:
Can someone pls suggest a solution or share his/her ideas with me, that would be nice. Thanks

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回答（1 个）

Bruno Luong
Bruno Luong 2018-11-8
编辑：Bruno Luong 2018-11-8
Why reinvent the wheel? This FEX will do.
  6 个评论
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Lockenlui
Lockenlui 2018-11-8
Yeah okay, but this is not a trivial task. I could identify all boundary nodes as those nodes, that have a '0' entry as a neighbouring element. Any clue how to proceed then?
I found a workaround: if coords is the (n,2)-coordinate matrix of the n measurement points, then:
shp = alphaShape(coords)
tri = alphaTriangulation(shp)
will give something link this:
Bruno Luong
Bruno Luong 2018-11-8
编辑：Bruno Luong 2018-11-8
Look at the code corresponds to
> tridemo(8)
that does much more than what you asked.

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