Hi,
To visualize the polyhedron enclosing your point cloud in MATLAB, you can utilize the convhull function, which calculates the convex hull in 3D space. The convex hull is essentially the smallest convex shape that can contain all the points in your dataset.
Please refer to the following example code that can help you to plot only the external points of the cloud:
% Generate some sample data (replace this with your actual data)
[x, y, z] = meshgrid([-1, 0, 1], [-1, 0, 1], [-1, 0, 1]);
T = [x(:), y(:), z(:)]';
% Compute the convex hull
K = convhull(T(1,:), T(2,:), T(3,:));
% Plot the polyhedron
figure;
trisurf(K, T(1,:), T(2,:), T(3,:), 'FaceColor', 'cyan', 'FaceAlpha', 0.8);
In this code, meshgrid is used to create a grid of points in 3D space for demonstration purposes. The convhull function computes the convex hull from the points in T, and trisurf is then used to plot the surface of this convex hull with triangular faces. Replace the sample data generation with your actual point cloud data to visualize your specific polyhedron. This approach will help you automatically identify and plot the external surfaces of your point cloud, eliminating the need to manually determine the vertices.
Kindly refer to the following MathWorks documentation to know more about the functions discussed above:
- meshgrid: https://www.mathworks.com/help/matlab/ref/meshgrid.html?searchHighlight=meshgrid&s_tid=srchtitle_support_results_1_meshgrid
- convhull: https://in.mathworks.com/help/matlab/ref/convhull.html?searchHighlight=convhull&s_tid=srchtitle_support_results_1_convhull
- trisurf: https://www.mathworks.com/support/search.html?q=trisurf&page=1
I hope the information provided above is helpful.
