Separate multiple triangulation.ConnectivityList based on connectivity

Question

Donald Hume 2022-8-3

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1773555-separate-multiple-triangulation-connectivitylist-based-on-connectivity

回答： Donald Hume 2022-8-3

Hello, I have a triangulation object which when plotted using the patch command produces multiple non-enclosed faceted surfaces.

I would like to find a way to separate out all discrete surfaces into distinct triangulation.ConnectivityList or triangulation objects. I started implementing this using the triangulation function isConnected(), which only considers connectivity along a single edge and ultimately begs for a recursive solution. I wondered if there was a simpler or already implemented solution to accomplish this task.

I've extended the example in triangulation doc to include two distinct faceted surfaces. Thanks in advance for your help!

P = [ 2.5 8.0 1

6.5 8.0 1

2.5 5.0 1

6.5 5.0 1

1.0 6.5 1

8.0 6.5 1];

P = [ P;

2.5 8.0 3

6.5 8.0 3

2.5 5.0 3

6.5 5.0 3

1.0 6.5 3

8.0 6.5 3]

P = 12×3

2.5000 8.0000 1.0000 6.5000 8.0000 1.0000 2.5000 5.0000 1.0000 6.5000 5.0000 1.0000 1.0000 6.5000 1.0000 8.0000 6.5000 1.0000 2.5000 8.0000 3.0000 6.5000 8.0000 3.0000 2.5000 5.0000 3.0000 6.5000 5.0000 3.0000

T = [5 3 1;

3 2 1;

3 4 2;

4 6 2];

T = [T;

11 9 7;

9 8 7;

9 10 8;

10 12 8]

T = 8×3

5 3 1 3 2 1 3 4 2 4 6 2 11 9 7 9 8 7 9 10 8 10 12 8

TR = triangulation(T,P)