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Showing content from http://paulbourke.net/geometry/polygonmesh/python.txt below:

class Point: def __init__(self, x,y): self.x = x self.y = y class Contour: def __init__(self, a): self.pts = a def area(self): area=0 pts = self.pts; nPts = len(pts) j=nPts-1 i = 0 for point in pts: p1=pts[i] p2=pts[j] area+= (p1.x*p2.y) area-=p1.y*p2.x j=i i+=1 area/=2; return area; def centroid(self): pts = self.pts; nPts = len(pts) x=0 y=0 j=nPts-1; i = 0 for point in pts: p1=pts[i] p2=pts[j] f=p1.x*p2.y-p2.x*p1.y x+=(p1.x+p2.x)*f y+=(p1.y+p2.y)*f j=i i+=1 f=self.area()*6 return Point(x/f,y/f)

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