A convex polygon is determined by its Hough transform
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Abstract A Hough transform maps a set of n collinear line elements in the plane into a spike of height n in a line parameter space (“Hough space”). Evidently, many different patterns of line elements can give rise to the same Hough transform, since collinear line elements can be located anywhere along a line. This note shows that if the line elements constitute the boundary of a convex polygon, the polygon is uniquely determined by the transform; but this is not true for arbitrary nonconvex polygons.
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