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Is there a function in MATLAB for detecting points inside a polyhedron?

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The INPOLYGON function in MATLAB detects points inside a polygonal region. I would like to determine whether a given three-dimensional point is inside a polyhedron.

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MathWorks Support Team
MathWorks Support Team am 6 Jan. 2012
The TSEARCHN and DELAUNAY functions in MATLAB can be used to detect whether a given three-dimensional point is inside a convex polyhedron for a small datasets. For example, consider the polyhedron defined by the vertices generated by the following commands:
n = 12; % Number of vertices
theta = 2*pi*rand(n,1)-pi; % Random theta
phi = pi*rand(n,1) - pi/2; % Random phi
x = cos(phi).*cos(theta); % Create x values
y = cos(phi).*sin(theta); % Create y values
z = sin(phi); % Create z values
The following commands determine if 20 randomly generated points within the unit square are also within the given polyhedron.
xyz = rand(3, n); % Generate random points
tri = delaunayn([x y z]); % Generate delaunay triangulization
tn = tsearchn([x y z], tri, xyz'); % Determine which triangle point is within
IsInside = ~isnan(tn) % Convert to logical vector

Weitere Antworten (1)

KAE
KAE am 18 Feb. 2020
You could use inpolyhedron from the FEX, discussed here.

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