https://stackoverflow.com/a/68503006
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def get_centroid(points):
x = points[:,0]
y = points[:,1]
# Solving for polygon signed area
A = 0
for i, value in enumerate(x):
if i + 1 == len(x):
A += (x[i]*y[0] - x[0]*y[i])
else:
A += (x[i]*y[i+1] - x[i+1]*y[i])
A = A/2
#solving x of centroid
Cx = 0
for i, value in enumerate(x):
if i + 1 == len(x):
Cx += (x[i]+x[0]) * ( (x[i]*y[0]) - (x[0]*y[i]) )
else:
Cx += (x[i]+x[i+1]) * ( (x[i]*y[i+1]) - (x[i+1]*y[i]) )
Cx = Cx/(6*A)
#solving y of centroid
Cy = 0
for i , value in enumerate(y):
if i+1 == len(x):
Cy += (y[i]+y[0]) * ( (x[i]*y[0]) - (x[0]*y[i]) )
else:
Cy += (y[i]+y[i+1]) * ( (x[i]*y[i+1]) - (x[i+1]*y[i]) )
Cy = Cy/(6*A)
return Cx, Cy
import numpy as np
points = np.array([[0, 0], [0, 1.1], [1, 0], [1, 1]])
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