matlab inpolyhedron

The "inpolyhedron" function in MATLAB is used to determine whether a set of points are inside or outside of a given polyhedron. The function takes two input arguments: a set of points (as an n-by-m matrix, where n is the number of points and m is the number of dimensions of the space) and a polyhedron (as a structure containing the vertices and faces of the polyhedron).

Here is an example of how to use the "inpolyhedron" function to check whether a set of points are inside or outside of a cube:

% Define the vertices and faces of a cube
vertices = [-1 -1 -1; -1 -1 1; -1 1 -1; -1 1 1; 1 -1 -1; 1 -1 1; 1 1 -1; 1 1 1];
faces = [1 2 4 3; 1 5 6 2; 1 3 7 5; 2 6 8 4; 3 4 8 7; 5 7 8 6];

% Define a set of points to check
points = [-1.5 -1.5 -1.5; 0 0 0; 1.5 1.5 1.5];

% Check whether the points are inside or outside of the cube
[in, on] = inpolyhedron(faces, vertices, points);

% Display the results
disp(in) % 1 0 0 (the first point is inside, the second point is outside, the third point is outside)
disp(on) % 0 1 0 (the first point is not on the surface, the second point is on the surface, the third point is not on the surface)