Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Wednesday, June 15, 2005, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Edgar Ramos (Univ. of Illinois at Urbana-Champaign)

Manifold Reconstruction from Point Samples

I describe an algorithm to 'reconstruct' a smooth k-dimensional manifold M embedded in an Euclidean space R^d from a 'sufficiently dense' point sample from the manifold. The algorithm outputs a simplicial manifold that is homeomorphic and geometrically close to M. The running time is O(n log n) where n is the number of points in the sample - the multiplicative constant depends exponentially on the dimension though.

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