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We study the problem of reconstructing a simple polygon from angles measured at the vertices of the polygon. We assume that at each vertex v a sensing device returns a list of angles α1,α2,…, where αi is the angle between the i-th and the (i+1)-th vertices visible to v in counterclockwise (ccw) order starting with the ccw neighbor of v along the boundary. We prove that the angle measurements at all...
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