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cs.CG2007★ 1 cited
An Efficient Local Approach to Convexity Testing of Piecewise-Linear Hypersurfaces
Konstantin Rybnikov
We show that a closed piecewise-linear hypersurface immersed in () is the boundary of a convex body if and only if every point in the interior of each -face ha…
cs.CG2003★ 1 cited
Fast Verification of Convexity of Piecewise-linear Surfaces
Konstantin Rybnikov
We show that a realization of a closed connected PL-manifold of dimension n-1 in n-dimensional Euclidean space (n>2) is the boundary of a convex polyhedron (finite or infinite) if…