Returns the center of mass of a polygon assuming uniform density.
The polygon vertices are contained in a single matrix of dimension Nx2 (or 2xN), where N >= 3 is the number of vertices. The dimension 2 corresponds to the x,y positions. For example, a square of side length 1 can be described by V = [ 0,0; 1,0; 1,1; 0,1] or V = [ 0,1,1,0;0,0,1,1].
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Syntax |
Description |
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out = centroid(V); |
Returns the center of mass of V, assuming uniform density. The output is a 2x1 matrix representing the x and y positions. |
Example
Calculate the centroid of a square of side length 1:
V = [ 0,0; 1,0; 1,1; 0,1]; ?centroid(V); result: 0.5 0.5
See Also
List of commands , polyarea , polyintersect , inpoly , polygrow , polyand , polyor , polydiff , polyxor