Sutherland-Hodgman polygon clipping

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The Sutherland-Hodgman clipping algorithm finds the polygon that is the intersection between an arbitrary polygon (the "subject polygon") and a convex polygon (the "clip polygon"). It is used in computer graphics (especially 2D graphics) to reduce the complexity of a scene being displayed by eliminating parts of a polygon that do not need to be displayed. Take the closed polygon defined by the points:

[(50, 150), (200, 50), (350, 150), (350, 300), (250, 300), (200, 250), (150, 350), (100, 250), (100, 200)]

and clip it by the rectangle defined by the points:

[(100, 100), (300, 100), (300, 300), (100, 300)]