Remove lines of specified length from triangulation

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Andrew Sol
Andrew Sol 2023-1-23
评论： Andrew Sol 2023-1-24
Ran in:
The following code generates square:
[X,Y]=meshgrid(0:0.5:1);
points=[X(:),Y(:)];
figure('Name','Point set','NumberTitle','off')
scatter(points(:,1),points(:,2),'marker','o','MarkerEdgeColor',[0 0 1],'LineWidth',2)
xlabel('x','FontSize',13);
ylabel('y','FontSize',13);
title('Point set','FontSize',13)
axis square
Then I triangulate these points:
DT=delaunay(points);
figure('Name','Trangulation','NumberTitle','off')
patch('Faces',DT,'Vertices',points,'FaceColor',[1 0.5 0],'EdgeColor',[0 0 1]);
xlabel('x','FontSize',13);
ylabel('y','FontSize',13);
title('Trangulation','FontSize',13)
Triangulation generates diagonal lines that depend on the width and height of the square grid element.
I need to remove these lines and leave the rest. And in general, I would like to understand the principle of how to remove from the triangulation lines that exceed or vice versa are less than some given value.
I was inspired by this code, but whole simplices are removed, and I need to remove only lines:
https://www.mathworks.com/matlabcentral/mlc-downloads/downloads/submissions/48509/versions/3/previews/COMP_GEOM_TLBX/html/Concave_mesh_grid_2D.html
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Andrew Sol
Andrew Sol 2023-1-23
@KSSV I have a set of points (two dimensional figure). I want to build a mesh and then an outer (common for the shape) and an inner boundary (cavity-interiors). Boundaries must be strictly vertical and horizontal. When triangulating, diagonal lines appear. We can remove them according to the criterion of a suitable length.
Since the grid is rectangular, the length of the triangulation line should not exceed the length of the diagonal passing through a single rectangular element of the grid. I was able to do this with https://www.mathworks.com/help/images/ref/bwboundaries.html
I want to compare it with boundaries. obtained through work with a triangulation mesh.
Andrew Sol
Andrew Sol 2023-1-24
@KSSV In other words, I want to try building outer and inner boundaries using triangulation.

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