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COMPUTATIONAL GEOMETRY COLUMN 46
2004
International journal of computational geometry and applications
The new algorithm of Bobenko and Izmestiev for reconstructing the unique polyhedron determined by given gluings of polygons is described. One form of Cauchy's rigidity theorem states that the combinatorial structure of a triangulated convex polyhedron together with all its edge lengths determines a unique convex polyhedron P : the 3D vertex coordinates are uniquely determined (up to rigid motions) by this information. However, it has long been an unsolved problem to algorithmically reconstruct
doi:10.1142/s021819590400155x
fatcat:ytdj3wetengl5dg5flfasc3f7a