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### Calculate the centroid of a polygon (assuming clockwise points)

parent b6cf40f7
 function [x0,y0,a] = centroid(x,y) % x and y must be non-scalar vectors of equal sizes defining a polygonal % region in counterclockwise sequence. a is returned with the polygon's % area, and (x0,y0) with the coordinates of the polygon's centroid. Note: % with clockwise order, x0 and y0 are still correct but a is the negative % of the area. % % RAS - 1/17/05 [m1,n1] = size(x); [m2,n2] = size(y); n = max(m1,n1); if [m1,n1] ~= [m2,n2] || min(m1,n1) ~= 1 || n <= 1 error('Args must be equal-sized non-scalar vectors') end x = x(:); y = y(:); x2 = [x(2:n);x(1)]; y2 = [y(2:n);y(1)]; a = 1/2*sum (x.*y2-x2.*y); x0 = 1/6*sum((x.*y2-x2.*y).*(x+x2))/a; y0 = 1/6*sum((x.*y2-x2.*y).*(y+y2))/a; \ No newline at end of file
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