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How can I create a Delanay point in a cube?

4 vues (au cours des 30 derniers jours)
Chenglin Li
Chenglin Li le 30 Juil 2022
Commenté : Chenglin Li le 3 Août 2022
I want to generate Mesh for a cube,but the points inside the cube can only be regularly distributed so far, and I want the surface and volume meshes to be regular triangles and regular tetrahedra.Matlab only. What do I need to do?
I would appreciate some help :)

Réponse acceptée

Bruno Luong
Bruno Luong le 30 Juil 2022
Modifié(e) : Bruno Luong le 30 Juil 2022
A cube can be devided in 6 tetrahedra
nx=4;
ny=3;
nz=2;
grid = arrayfun(@(n)linspace(0,n,n+1),[nx,ny,nz], 'unif', 0);
[grid{:}] = ndgrid(grid{:});
grid = cat(4,grid{:});
grid = reshape(grid,[],3);
Tcube = [...
5, 1, 3, 2;
7, 5, 3, 2;
7, 6, 5, 2;
7, 4, 6, 2;
7, 3, 4, 2;
7, 8, 6, 4];
[Tx, Ty, Tz]=ind2sub([2 2 2],Tcube);
Tx = Tx-1;
Ty = Ty-1;
Tz = Tz-1;
C = zeros([nx,ny,nz,size(Tcube)]);
for k=1:nz
for j=1:ny
for i=1:nx
Cijk = sub2ind([nx,ny,nz]+1,i+Tx,j+Ty,k+Tz);
C(i,j,k,:,:) = reshape(Cijk,[1,1,1,size(Tcube)]);
end
end
end
C = reshape(C, [], 4);
TR = triangulation(C,grid);
% Graphical plot
patch('Faces', TR.ConnectivityList, 'Vertices', TR.Points,'FaceColor', 'g', 'FaceAlpha', 0.5);
view(3);
axis equal
  7 commentaires
Bruno Luong
Bruno Luong le 3 Août 2022
Modifié(e) : Bruno Luong le 3 Août 2022
You always speak about "triangles" as if you want to mesh the surface and not the volume.
In 2D this FileExchange gives very doof result.
Chenglin Li
Chenglin Li le 3 Août 2022
I have seen this 2D program and it works very well,but I still want to generate regular tetrahedral volume mesh in 3D, but the grid points in the volume are not clear how to generate.

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Plus de réponses (1)

Shivam
Shivam le 30 Juil 2022
To triangulate a 3D point cloud you need the BallPivoting algorithm:
https://vgc.poly.edu/~csilva/papers/tvcg99.pdf
  1 commentaire
Chenglin Li
Chenglin Li le 1 Août 2022
Thanks,is there a similar MATLAB program, I want to see how it is generated from the program.

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