Reconstructing Submanifolds of Euclidean Space
نویسنده
چکیده
A generalization of the crust algorithm is presented that will reconstruct a smooth d-dimensional submanifold of R. When the point sample meets satisfy a minimal density requirement this reconstruction is homeomorphic to the original submanifold. In fact the reconstructed manifold is ambiently isotopic to the original via an isotopy that moves points a small distance. Also, bounds are given comparing the metric of the source and reconstructed manifolds.
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